Question 1

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 maximum. What are the local maxima?

Accepted Answer

A)   f has a local maximum at -; the local maximum is 2
B)   f has a local maximum at x =  and ; the local maximum is 2
C)   f has no local maximum
D)   f has a local maximum at x = 0; the local maximum is -2

Question 2

Graph the function.
- f(x) ={−x+3 if x<22x−3 if x≥2f(x) =\left\{\begin{array}{ll}-x+3 & 	ext { if } x<2 \2 x-3 & 	ext { if } x \geq 2\end{array}ight.f(x) ={−x+32x−3​ if x<2 if x≥2​

Accepted Answer

A)  
B)  
C)  
D)

Question 3

Given the functi is the point (-2, 1)  on the graph of f?
- f(x) =x2−3x+3f ( x )  = \frac { x ^ { 2 } - 3 } { x + 3 }f(x) =x+3x2−3​

Accepted Answer

A)   Yes
B)   No

Question 4

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: {x|-2 ≤ x ≤2} Range: all real numbers Intercepts: (-2, 0) , (2, 0)  Symmetry: x-axis, y-axis 
B)   function domain: all real numbersrange: {y|y ≤-2 or y ≥ 2}intercepts: (-2, 0) , (2, 0) symmetry: y-axis
C)   functiondomain: {x|x ≤-2 or x ≥ 2}Range: all real numbersIntercepts: (-2, 0) , (2, 0) Symmetry: x-axis, y-axis, origin
D)   not a function

Question 5

Find the average rate of change for the function between the given values.
- f(x) =1x3+5x2+8; from −6 to 6f ( x )  = 1 x ^ { 3 } + 5 x ^ { 2 } + 8 ; 	ext { from } - 6 	ext { to } 6f(x) =1x3+5x2+8; from −6 to 6

Accepted Answer

A)   36
B)    1013\frac { 101 } { 3 }3101​ 
C)    2023\frac { 202 } { 3 }3202​ 
D)   72

Question 6

Solve the problem.
-A retail store buys 225 VCRs from a distributor at a cost of $205 each plus an overhead charge of $20 per order. The retail markup is 40% on the total price paid. Find the profit on the sale of one VCR.

Accepted Answer

A)   $82.04
B)   $82.00
C)   $8204.00
D)   $81.96

Question 7

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) =x3−3x2+1,(−1,3) f ( x )  = x ^ { 3 } - 3 x ^ { 2 } + 1 , ( - 1,3 ) f(x) =x3−3x2+1,(−1,3)

Accepted Answer

A)  local maximum at (2, -3) local minimum at (0, 1) increasing on (-1, 0) decreasing on (0, 2) 
B)  local maximum at (0, 1) local minimum at (2, -3) increasing on (-1, 0)  and (2, 3) decreasing on (0, 2) 
C)  local maximum at (2, -3) local minimum at (0, 1) increasing on (-1, 0)  and (2, 3) decreasing on (0, 2) 
D)  local maximum at (0, 1) local minimum at (2, -3) increasing on (0, 2) decreasing on (-1, 0)  and (2, 3)

Question 8

Find the value for the function.
-  Find f(1)  when f(x) =x2−5x−2	ext { Find } f ( 1 )  	ext { when } f ( x )  = x ^ { 2 } - 5 x - 2 Find f(1)  when f(x) =x2−5x−2

Accepted Answer

A)   -6
B)   8
C)   -2
D)   4

Question 9

The graph of a function is given. Decide whether it is even, odd, or neither.
-

Accepted Answer

A)   even
B)   odd
C)   neither

Question 10

Match the graph to the function listed whose graph most resembles the one given.
-

Accepted Answer

A)   cube root function
B)   square root function
C)   cube function
D)   square function

Question 11

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+1f ( x )  = \frac { 1 } { x + 1 }f(x) =x+11​

Accepted Answer

A)  
B)  
C)  
D)

Question 12

Solve the problem.
-Jacey, a commissioned salesperson, earns $180 base pay plus $47 per item sold. Express Jacey's gross salary G as a function of the number x of items sold.

Accepted Answer

A)    G(x) =180x+47G ( x )  = 180 x + 47G(x) =180x+47 
B)    G(x) =47(x+180) G ( x )  = 47 ( x + 180 ) G(x) =47(x+180)  
C)    G(x) =180(x+47) G ( x )  = 180 ( x + 47 ) G(x) =180(x+47)  
D)    G(x) =47x+180G ( x )  = 47 x + 180G(x) =47x+180

Question 13

If y varies directly as x, find a linear function which relates them.
-y = 8 when x = 24

Accepted Answer

A)    f(x) =x3f ( x )  = \frac { x } { 3 }f(x) =3x​ 
B)    f(x) =x+16f ( x )  = x + 16f(x) =x+16 
C)    f(x) =x8f ( x )  = \frac { x } { 8 }f(x) =8x​ 
D)    f(x) =3xf ( x )  = 3 xf(x) =3x

Question 14

For the graph of the function y = f(x) , find the absolute maximum and the absolute minimum, if it exists.
-

Accepted Answer

A)   Absolute maximum: f(2)  = 7; Absolute minimum: f(3)  = 0
B)   Absolute maximum: f(7)  = 2; Absolute minimum: f(0)  = 3
C)   Absolute maximum: f(5)  = 6; Absolute minimum: f(2)  = 1
D)   Absolute maximum: f(6)  = 5; Absolute minimum: f(1)  = 2

Question 15

Graph the function.
- f(x) =xf ( x )  = \sqrt { x }f(x) =x​

Accepted Answer

A)  
B)  
C)  
D)

Question 16

If y varies directly as x, find a linear function which relates them.
-y = 0.2 when x = 1.6

Accepted Answer

A)   f(x)  = 8x
B)   f(x)  = 0.125x
C)   f(x)  = 0.2x
D)   f(x)  = x - 1.4

Question 17

Solve the problem.
-The gravitational attraction A between two masses varies inversely as the square of the distance between them. The force of attraction is 2.25 lb when the masses are 4 ft apart, what is the attraction when the masses are 6 ft
Apart?

Accepted Answer

A)   1 lb
B)   2 lb
C)   4 lb
D)   3 lb

Question 18

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.
-$f ( x ) = - 0.3 x ^ { 3 } + 0.2 x ^ { 2 } + 4 x - 5 ; ( - 4,5 )$

Accepted Answer

local maximum at

lo...

Question 19

Suppose the point (2, 4)  is on the graph of y = f(x) . Find a point on the graph of the given function.
-f(x)  + 10

Accepted Answer

A)   (2, -10) 
B)   (2, 14) 
C)   (12, 4) 
D)   (-8, 4)

Question 20

The graph of a function is given. Decide whether it is even, odd, or neither.
-

Accepted Answer

A)   even
B)   odd
C)   neither

Exam 1: Functions and Their Graphs

Graph the function. - $f ( x ) = \sqrt { x }$ $Graph the function. - f ( x ) = \sqrt { x } A) B) C) D)$

Correct Answer
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The graph of a function is given. Decide whether it is even, odd, or neither. -

Correct Answer
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Correct Answer
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local maximum at
lo...
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Given the functi is the point (-2, 1) on the graph of f? - $f ( x ) = \frac { x ^ { 2 } - 3 } { x + 3 }$

Correct Answer
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Suppose the point (2, 4) is on the graph of y = f(x) . Find a point on the graph of the given function. -f(x) + 10

Correct Answer
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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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Match the graph to the function listed whose graph most resembles the one given. -

Correct Answer
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The graph of a function is given. Decide whether it is even, odd, or neither. -

Correct Answer
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If y varies directly as x, find a linear function which relates them. -y = 8 when x = 24

Correct Answer
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If y varies directly as x, find a linear function which relates them. -y = 0.2 when x = 1.6

Correct Answer
verified

Solve the problem. -The gravitational attraction A between two masses varies inversely as the square of the distance between them. The force of attraction is 2.25 lb when the masses are 4 ft apart, what is the attraction when the masses are 6 ft Apart?

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 maximum. What are the local maxima?

Correct Answer
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Find the value for the function. - $\text { Find } f ( 1 ) \text { when } f ( x ) = x ^ { 2 } - 5 x - 2$

Correct Answer
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For the graph of the function y = f(x) , find the absolute maximum and the absolute minimum, if it exists. -

Correct Answer
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Correct Answer
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Solve the problem. -Jacey, a commissioned salesperson, earns $180 base pay plus $47 per item sold. Express Jacey's gross salary G as a function of the number x of items sold.

Correct Answer
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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. - $f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 1 , ( - 1,3 )$

Correct Answer
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Find the average rate of change for the function between the given values. - $f ( x ) = 1 x ^ { 3 } + 5 x ^ { 2 } + 8 ; \text { from } - 6 \text { to } 6$

Correct Answer
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Solve the problem. -A retail store buys 225 VCRs from a distributor at a cost of $205 each plus an overhead charge of $20 per order. The retail markup is 40% on the total price paid. Find the profit on the sale of one VCR.

Correct Answer
verified

Graph the function. - $f(x) =\left\{\begin{array}{ll}-x+3 & \text { if } x<2 \\2 x-3 & \text { if } x \geq 2\end{array}\right.$ $Graph the function. - f(x) =\left\{\begin{array}{ll} -x+3 & \text { if } x<2 \\ 2 x-3 & \text { if } x \geq 2 \end{array}\right. A) B) C) D)$

Correct Answer
verified

Exam 1: Functions and Their Graphs

Graph the function. - f(x) =xf ( x ) = \sqrt { x }f(x) =x​

Correct AnswerverifiedShow Answer

The graph of a function is given. Decide whether it is even, odd, or neither. -

Correct AnswerverifiedShow Answer

Correct Answerverifiedlocal maximum at lo...View AnswerShow Answer

Given the functi is the point (-2, 1) on the graph of f? - f(x) =x2−3x+3f ( x ) = \frac { x ^ { 2 } - 3 } { x + 3 }f(x) =x+3x2−3​

Correct AnswerverifiedShow Answer

Suppose the point (2, 4) is on the graph of y = f(x) . Find a point on the graph of the given function. -f(x) + 10

Correct AnswerverifiedShow 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

Match the graph to the function listed whose graph most resembles the one given. -

Correct AnswerverifiedShow Answer

The graph of a function is given. Decide whether it is even, odd, or neither. -

Correct AnswerverifiedShow Answer

If y varies directly as x, find a linear function which relates them. -y = 8 when x = 24

Correct AnswerverifiedShow Answer

If y varies directly as x, find a linear function which relates them. -y = 0.2 when x = 1.6

Correct AnswerverifiedShow Answer

Solve the problem. -The gravitational attraction A between two masses varies inversely as the square of the distance between them. The force of attraction is 2.25 lb when the masses are 4 ft apart, what is the attraction when the masses are 6 ft Apart?

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 maximum. What are the local maxima?

Correct AnswerverifiedShow Answer

Find the value for the function. - Find f(1) when f(x) =x2−5x−2\text { Find } f ( 1 ) \text { when } f ( x ) = x ^ { 2 } - 5 x - 2 Find f(1) when f(x) =x2−5x−2

Correct AnswerverifiedShow Answer

For the graph of the function y = f(x) , find the absolute maximum and the absolute minimum, if it exists. -

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+1f ( x ) = \frac { 1 } { x + 1 }f(x) =x+11​

Correct AnswerverifiedShow Answer

Solve the problem. -Jacey, a commissioned salesperson, earns $180 base pay plus $47 per item sold. Express Jacey's gross salary G as a function of the number x of items sold.

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Find the average rate of change for the function between the given values. - f(x) =1x3+5x2+8; from −6 to 6f ( x ) = 1 x ^ { 3 } + 5 x ^ { 2 } + 8 ; \text { from } - 6 \text { to } 6f(x) =1x3+5x2+8; from −6 to 6

Correct AnswerverifiedShow Answer

Solve the problem. -A retail store buys 225 VCRs from a distributor at a cost of $205 each plus an overhead charge of $20 per order. The retail markup is 40% on the total price paid. Find the profit on the sale of one VCR.

Correct AnswerverifiedShow Answer

Graph the function. - f(x) ={−x+3 if x<22x−3 if x≥2f(x) =\left\{\begin{array}{ll}-x+3 & \text { if } x<2 \\2 x-3 & \text { if } x \geq 2\end{array}\right.f(x) ={−x+32x−3​ if x<2 if x≥2​

Correct AnswerverifiedShow Answer

Graph the function. - $f ( x ) = \sqrt { x }$ $Graph the function. - f ( x ) = \sqrt { x } A) B) C) D)$

Correct Answer
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local maximum at
lo...
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Given the functi is the point (-2, 1) on the graph of f? - $f ( x ) = \frac { x ^ { 2 } - 3 } { x + 3 }$

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Find the value for the function. - $\text { Find } f ( 1 ) \text { when } f ( x ) = x ^ { 2 } - 5 x - 2$

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Find the average rate of change for the function between the given values. - $f ( x ) = 1 x ^ { 3 } + 5 x ^ { 2 } + 8 ; \text { from } - 6 \text { to } 6$

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Graph the function. - $f(x) =\left\{\begin{array}{ll}-x+3 & \text { if } x<2 \\2 x-3 & \text { if } x \geq 2\end{array}\right.$ $Graph the function. - f(x) =\left\{\begin{array}{ll} -x+3 & \text { if } x<2 \\ 2 x-3 & \text { if } x \geq 2 \end{array}\right. A) B) C) D)$

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