Question 1

Given the functi is the point (-1, 4)  on the graph of f?
- f(x) =x2+2x+6f ( x )  = \frac { x ^ { 2 } + 2 } { x + 6 }f(x) =x+6x2+2​  Given the functi , list the x-intercepts, if any, of the graph of f.

Accepted Answer

A)   (-6, 0) 
B)   (- 2, 0) 
C)   (2, 0) , (-2, 0) 
D)   none

Question 2

Match the function with the graph that best describes the situation.
-The amount of rainfall as a function of time, if the rain fell more and more softly.

Accepted Answer

A)  
B)  
C)  
D)

Question 3

Solve the problem.
-From a 18-inch by 18-inch piece of metal, squares are cut out of the four corners so that the sides can then be folded up to make a box. Let x represent the length of the sides of the squares, in inches, that are cut out. Express
The volume of the box as a function of x.

Accepted Answer

A)    V(x) =4x3−72x2V ( x )  = 4 x ^ { 3 } - 72 x ^ { 2 }V(x) =4x3−72x2 
B)    V(x) =4x3−72x2+324xV ( x )  = 4 x ^ { 3 } - 72 x ^ { 2 } + 324 xV(x) =4x3−72x2+324x 
C)    V(x) =2x3−54x2V ( x )  = 2 x ^ { 3 } - 54 x ^ { 2 }V(x) =2x3−54x2 
D)    V(x) =2x3−54x2+18xV ( x )  = 2 x ^ { 3 } - 54 x ^ { 2 } + 18 xV(x) =2x3−54x2+18x

Question 4

Determine algebraically whether the function is even, odd, or neither.
- f(x) =x3f ( x )  = \sqrt [ 3 ] { x }f(x) =3x​

Accepted Answer

A)   even
B)   odd
C)   neither

Question 5

Graph the function by starting with the graph of the basic function and then using the techniques of shifting,
compressing, stretching, and/or reflecting.
- f(x) =1x+5−7f ( x )  = \frac { 1 } { x + 5 } - 7f(x) =x+51​−7

Accepted Answer

A)  
B)  
C)  
D)

Question 6

Solve the problem.
-A rectangular box with volume 268 cubic feet is built with a square base and top. The cost is $1.50 per square foot for the top and the bottom and $2.00 per square foot for the sides. Let x represent the length of a side of the
Base. Express the cost the box as a function of x.

Accepted Answer

A)    C(x) =3x2+1072xC ( x )  = 3 x ^ { 2 } + \frac { 1072 } { x }C(x) =3x2+x1072​ 
B)    C(x) =3x2+2144xC ( x )  = 3 x ^ { 2 } + \frac { 2144 } { x }C(x) =3x2+x2144​ 
C)    C(x) =2x2+2144xC ( x )  = 2 x ^ { 2 } + \frac { 2144 } { x }C(x) =2x2+x2144​ 
D)    C(x) =4x+2144x2C ( x )  = 4 x + \frac { 2144 } { x ^ { 2 } }C(x) =4x+x22144​

Question 7

The graph of a function f is given. Use the graph to answer the question.
- Find the numbers, if any, at which f has a local minimum. What are the local maxima?

Accepted Answer

A)   f has a local maximum at x = -3.3 and -2.5; the local maximum at -3.3 is -2.5; the local maximum at -2.5 is 5
B)   f has a local minimum at x = -3.3 and -2.5; the local minimum at -3.3 is -2.5; the local minimum at -2.5 is 5
C)   f has a local minimum at x = -2.5 and 5; the local minimum at -2.5 is -3.3; the local minimum at 5 is -2.5
D)   f has a local maximum at x = -2.5 and 5; the local maximum at -2.5 is -3.3; the local maximum at 5 is -2.5

Question 8

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given
interval.
-(1, 5)

Accepted Answer

A)   constant
B)   decreasing
C)   increasing

Question 9

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two
decimal places.
-$f ( x ) = 0.15 x ^ { 4 } + 0.3 x ^ { 3 } - 0.8 x ^ { 2 } + 5 ; ( - 4,2 )$

Accepted Answer

local maximum at

lo...

Question 10

Find the average rate of change for the function between the given values.
- f(x) =x2+3x; from 3 to 5f ( x )  = x ^ { 2 } + 3 x 	ext {; from } 3 	ext { to } 5f(x) =x2+3x; from 3 to 5

Accepted Answer

A)   20
B)   8
C)   22
D)   11 5

Question 11

Determine algebraically whether the function is even, odd, or neither.
-f(x)  = -2x2 + 9

Accepted Answer

A)   even
B)   odd
C)   neither

Question 12

Find the domain of the function.
- f(x) =9−xf ( x )  = \sqrt { 9 - x }f(x) =9−x​

Accepted Answer

A)    {x∣x≠9}\{ x \mid x 
eq 9 \}{x∣x=9} 
B)   {x|x ≤9}
C)   {x|x ≤3}
D)   {x|x ≠3}

Question 13

Determine whether the equation defines y as a function of x.
- y=3x−4x−2y = \frac { 3 x - 4 } { x - 2 }y=x−23x−4​

Accepted Answer

A)   function
B)   not a function

Question 14

Match the correct function to the graph.
-

Accepted Answer

A)    y=x−1y = \sqrt { x - 1 }y=x−1c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​ 
B)    y=x−1y = x - 1y=x−1 
C)    y=xy = \sqrt { x }y=xc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​ 
D)    y=x+1y = \sqrt { x + 1 }y=x+1c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​

Question 15

Find the average rate of change for the function between the given values.
- f(x) =−3x2−x; from 5 to 6f ( x )  = - 3 x ^ { 2 } - x ; 	ext { from } 5 	ext { to } 6f(x) =−3x2−x; from 5 to 6

Accepted Answer

A)    −34- 34−34 
B)    12\frac { 1 } { 2 }21​ 
C)    −2- 2−2 
D)    −16- \frac { 1 } { 6 }−61​

Question 16

Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin.
-

Accepted Answer

A)   functiondomain: all real numbers Range: all real numbers Intercept: (0, -4) Symmetry: none 
B)   function domain: all real numbersrange: {y|y = 5 or y = -4} intercept: (0, -4) symmetry: none
C)   functiondomain: {x|x = 5 or x = -4}Range: all real numbersIntercept: (-4, 0) Symmetry: x-axis
D)   not a function

Question 17

Find the value for the function.
-  Find f(8)  when f(x) =x2+6x	ext { Find } f ( 8 )  	ext { when } f ( x )  = \sqrt { x ^ { 2 } + 6 x } Find f(8)  when f(x) =x2+6x​

Accepted Answer

A)    474 \sqrt { 7 }47c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​ 
B)    42\sqrt { 42 }42c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​ 
C)    70\sqrt { 70 }70c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​ 
D)   10

Question 18

Graph the function by starting with the graph of the basic function and then using the techniques of shifting,
compressing, stretching, and/or reflecting.
- (x) =(x+7) 2+4( x )  = ( x + 7 )  ^ { 2 } + 4(x) =(x+7) 2+4

Accepted Answer

A)  
B)  
C)  
D)

Question 19

Solve the problem.
-If the force acting on an object stays the same, then the acceleration of the object is inversely proportional to its mass. If an object with a mass of 18 kilograms accelerates at a rate of 7 meters per second per second by a force,
Find the rate of acceleration of an object with a mass of 9 kilograms that is pulled by the same force.
Meters per second per second

Accepted Answer

A)    72\frac { 7 } { 2 }27​ 
B)   12 meters per second per second
C)   14 meters per second per second
D)   7 meters per second per second

Question 20

For the function, find the average rate of change of f from 1 to x:  f(x) −f(1) x−1,x≠1\frac { f ( x )  - f ( 1 )  } { x - 1 } , x 
eq 1x−1f(x) −f(1) ​,x=1 
- f(x) =4x+3f ( x )  = \frac { 4 } { x + 3 }f(x) =x+34​

Accepted Answer

A)    4x(x+3) \frac { 4 } { x ( x + 3 )  }x(x+3) 4​ 
B)    4(x−1) (x+3) \frac { 4 } { ( x - 1 )  ( x + 3 )  }(x−1) (x+3) 4​ 
C)    1x+3\frac { 1 } { x + 3 }x+31​ 
D)    −1x+3- \frac { 1 } { x + 3 }−x+31​

Exam 1: Functions and Their Graphs

Correct Answer
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Solve the problem. -From a 18-inch by 18-inch piece of metal, squares are cut out of the four corners so that the sides can then be folded up to make a box. Let x represent the length of the sides of the squares, in inches, that are cut out. Express The volume of the box as a function of x.

Correct Answer
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The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. -(1, 5)

Correct Answer
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Correct Answer
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Find the domain of the function. - $f ( x ) = \sqrt { 9 - x }$

Correct Answer
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Given the functi is the point (-1, 4) on the graph of f? - $f ( x ) = \frac { x ^ { 2 } + 2 } { x + 6 }$ Given the functi , list the x-intercepts, if any, of the graph of f.

Correct Answer
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Determine algebraically whether the function is even, odd, or neither. - $f ( x ) = \sqrt [ 3 ] { x }$

Correct Answer
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Correct Answer
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Find the average rate of change for the function between the given values. - $f ( x ) = - 3 x ^ { 2 } - x ; \text { from } 5 \text { to } 6$

Correct Answer
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Correct Answer
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Find the average rate of change for the function between the given values. - $f ( x ) = x ^ { 2 } + 3 x \text {; from } 3 \text { to } 5$

Correct Answer
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Determine whether the equation defines y as a function of x. - $y = \frac { 3 x - 4 } { x - 2 }$

Correct Answer
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Correct Answer
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local maximum at
lo...
View Answer

Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin. -

Correct Answer
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The graph of a function f is given. Use the graph to answer the question. - Find the numbers, if any, at which f has a local minimum. What are the local maxima?

Correct Answer
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Match the correct function to the graph. - $Match the correct function to the graph. - A) y = \sqrt { x - 1 } B) y = x - 1 C) y = \sqrt { x } D) y = \sqrt { x + 1 }$

Correct Answer
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Solve the problem. -A rectangular box with volume 268 cubic feet is built with a square base and top. The cost is $1.50 per square foot for the top and the bottom and $2.00 per square foot for the sides. Let x represent the length of a side of the Base. Express the cost the box as a function of x.

Correct Answer
verified

Match the function with the graph that best describes the situation. -The amount of rainfall as a function of time, if the rain fell more and more softly.

Correct Answer
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Find the value for the function. - $\text { Find } f ( 8 ) \text { when } f ( x ) = \sqrt { x ^ { 2 } + 6 x }$

Correct Answer
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Determine algebraically whether the function is even, odd, or neither. -f(x) = -2x² + 9

Correct Answer
verified

Exam 1: Functions and Their Graphs

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - (x) =(x+7) 2+4( x ) = ( x + 7 ) ^ { 2 } + 4(x) =(x+7) 2+4

Correct AnswerverifiedShow Answer

Solve the problem. -From a 18-inch by 18-inch piece of metal, squares are cut out of the four corners so that the sides can then be folded up to make a box. Let x represent the length of the sides of the squares, in inches, that are cut out. Express The volume of the box as a function of x.

Correct AnswerverifiedShow Answer

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. -(1, 5)

Correct AnswerverifiedShow Answer

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f(x) =1x+5−7f ( x ) = \frac { 1 } { x + 5 } - 7f(x) =x+51​−7

Correct AnswerverifiedShow Answer

Find the domain of the function. - f(x) =9−xf ( x ) = \sqrt { 9 - x }f(x) =9−x​

Correct AnswerverifiedShow Answer

Given the functi is the point (-1, 4) on the graph of f? - f(x) =x2+2x+6f ( x ) = \frac { x ^ { 2 } + 2 } { x + 6 }f(x) =x+6x2+2​ Given the functi , list the x-intercepts, if any, of the graph of f.

Correct AnswerverifiedShow Answer

Determine algebraically whether the function is even, odd, or neither. - f(x) =x3f ( x ) = \sqrt [ 3 ] { x }f(x) =3x​

Correct AnswerverifiedShow Answer

For the function, find the average rate of change of f from 1 to x: f(x) −f(1) x−1,x≠1\frac { f ( x ) - f ( 1 ) } { x - 1 } , x \neq 1x−1f(x) −f(1) ​,x=1 - f(x) =4x+3f ( x ) = \frac { 4 } { x + 3 }f(x) =x+34​

Correct AnswerverifiedShow Answer

Find the average rate of change for the function between the given values. - f(x) =−3x2−x; from 5 to 6f ( x ) = - 3 x ^ { 2 } - x ; \text { from } 5 \text { to } 6f(x) =−3x2−x; from 5 to 6

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Find the average rate of change for the function between the given values. - f(x) =x2+3x; from 3 to 5f ( x ) = x ^ { 2 } + 3 x \text {; from } 3 \text { to } 5f(x) =x2+3x; from 3 to 5

Correct AnswerverifiedShow Answer

Determine whether the equation defines y as a function of x. - y=3x−4x−2y = \frac { 3 x - 4 } { x - 2 }y=x−23x−4​

Correct AnswerverifiedShow Answer

Correct Answerverifiedlocal maximum at lo...View AnswerShow Answer

Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin. -

Correct AnswerverifiedShow Answer

The graph of a function f is given. Use the graph to answer the question. - Find the numbers, if any, at which f has a local minimum. What are the local maxima?

Correct AnswerverifiedShow Answer

Match the correct function to the graph. -

Correct AnswerverifiedShow Answer

Solve the problem. -A rectangular box with volume 268 cubic feet is built with a square base and top. The cost is $1.50 per square foot for the top and the bottom and $2.00 per square foot for the sides. Let x represent the length of a side of the Base. Express the cost the box as a function of x.

Correct AnswerverifiedShow Answer

Match the function with the graph that best describes the situation. -The amount of rainfall as a function of time, if the rain fell more and more softly.

Correct AnswerverifiedShow Answer

Find the value for the function. - Find f(8) when f(x) =x2+6x\text { Find } f ( 8 ) \text { when } f ( x ) = \sqrt { x ^ { 2 } + 6 x } Find f(8) when f(x) =x2+6x​

Correct AnswerverifiedShow Answer

Determine algebraically whether the function is even, odd, or neither. -f(x) = -2x2 + 9

Correct AnswerverifiedShow Answer

Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Find the domain of the function. - $f ( x ) = \sqrt { 9 - x }$

Correct Answer
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Given the functi is the point (-1, 4) on the graph of f? - $f ( x ) = \frac { x ^ { 2 } + 2 } { x + 6 }$ Given the functi , list the x-intercepts, if any, of the graph of f.

Correct Answer
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Determine algebraically whether the function is even, odd, or neither. - $f ( x ) = \sqrt [ 3 ] { x }$

Correct Answer
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Correct Answer
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Find the average rate of change for the function between the given values. - $f ( x ) = - 3 x ^ { 2 } - x ; \text { from } 5 \text { to } 6$

Correct Answer
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Correct Answer
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Find the average rate of change for the function between the given values. - $f ( x ) = x ^ { 2 } + 3 x \text {; from } 3 \text { to } 5$

Correct Answer
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Determine whether the equation defines y as a function of x. - $y = \frac { 3 x - 4 } { x - 2 }$

Correct Answer
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Correct Answer
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local maximum at
lo...
View Answer

Correct Answer
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Correct Answer
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Match the correct function to the graph. - $Match the correct function to the graph. - A) y = \sqrt { x - 1 } B) y = x - 1 C) y = \sqrt { x } D) y = \sqrt { x + 1 }$

Correct Answer
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Correct Answer
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Correct Answer
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Find the value for the function. - $\text { Find } f ( 8 ) \text { when } f ( x ) = \sqrt { x ^ { 2 } + 6 x }$

Correct Answer
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Determine algebraically whether the function is even, odd, or neither. -f(x) = -2x² + 9

Correct Answer
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