Question 1

Determine whether the graph is the graph of a function.
-

Accepted Answer

A) True 
 B)False

Question 2

Determine whether the formula determines y as a function of x.
-$$y = 5 x - 9$$

Accepted Answer

A) True 
 B)False

Question 3

Determine if the function is bounded above, bounded below, bounded on its domain, or unbounded on its domain.
- y=2−x2y = \sqrt { 2 - x ^ { 2 } }y=2−x2​

Accepted Answer

A)   Bounded above
B)   Bounded below
C)   Unbounded
D)   Bounded

Question 4

Choose the one alternative that best completes the statement or answers the question.
-What are the  xxx -intercepts of  f(x+2) ?f ( x + 2 )  ?f(x+2) ?

Accepted Answer

A)    −3,0- 3,0−3,0 
B)    −4,−2,2- 4 , - 2,2−4,−2,2 
C)    −4,2- 4,2−4,2 
D)    0,2,60,2,60,2,6

Question 5

Write the specified quantity as a function of the specified variable.
-The base of an isosceles triangle is a third as long as the two equal sides. Write the perimeter of the triangle as a function of the length of the base.

Accepted Answer

A)    P=83bP = \frac { 8 } { 3 } bP=38​b 
B)    P=<53bP = < \frac { 5 } { 3 } bP=<35​b 
C)    P=7bP = 7 bP=7b 
D)    P=5bP = 5 bP=5b

Question 6

Write the word or phrase that best completes each statement or answers the question.
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
-$$f ( x ) = \frac { x - 2 } { x + 9 } \text { and } g ( x ) = \frac { - 9 x - 2 } { x - 1 }$$

Accepted Answer

\[\begin{array} { l }
f ( g ( x ) ) = \...

Question 7

Match the function with the graph.
-

Accepted Answer

A)    y=x+3y = \sqrt { x + 3 }y=x+3c-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−3y = \sqrt { x - 3 }y=x−3c-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)    y=x−3−2y = \sqrt { x - 3 } - 2y=x−3c-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'/>​−2 
D)    y=x−2y = \sqrt { x } - 2y=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'/>​−2

Question 8

Write the word or phrase that best completes each statement or answers the question.
Sketch the graph of the given function based on the graph of the function f given below.
-$$\text { Sketch the graph of } y = - f ( x + 2 ) - 1$$

Accepted Answer

The answer of Write the word or phrase that best...

Question 9

Choose the one alternative that best completes the statement or answers the question.
Write a mathematical expression for the quantity described verbally.
-Two more than  5%5 \%5%  of a number  xxx

Accepted Answer

A)    5x+25 x + 25x+2 
B)    0.05+2x0.05 + 2 \mathrm { x }0.05+2x 
C)    0.5x+20.5 x + 20.5x+2 
D)    0.05x+20.05 x + 20.05x+2

Question 10

Write the word or phrase that best completes each statement or answers the question.
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
-$$f ( x ) = \frac { x + 2 } { 5 } \text { and } g ( x ) = 5 x - 2$$ 5

Accepted Answer

\[\begin{array} { l }
f ( g (...

Question 11

Determine whether the graph is the graph of a function.
-

Accepted Answer

A) True 
 B)False

Question 12

Determine whether the formula determines y as a function of x.
-$$y = - 7 x ^ { 2 } - 3 x - 7$$

Accepted Answer

A) True 
 B)False

Question 13

Write the word or phrase that best completes each statement or answers the question.
Sketch the graph of the given function based on the graph of the function f given below.
-$$\text { Sketch the graph of } y = 1 + f ( - x ) \text {. }$$

Accepted Answer

The answer of Write the word or phrase that best...

Question 14

Match the equation with the appropriate graph.
- f(x) =x3x2−1f ( x )  = \frac { x ^ { 3 } } { x ^ { 2 } - 1 }f(x) =x2−1x3​

Accepted Answer

A)  
B)  
C)  
D)

Question 15

Use an equation to solve the problem.
-Between 1990 and 2000 the population of a certain city grew from 202,000 to 239,700 . What was the percentage increase in the population of the city?

Accepted Answer

A)    18.7%18.7 \%18.7% 
B)    19.6%19.6 \%19.6% 
C)    15.7%15.7 \%15.7% 
D)    1.9%1.9 \%1.9%

Question 16

Solve the problem.
-Estimate graphically the local maximum and local minimum for  f(x) =x∣3x−2∣f ( x )  = x | 3 x - 2 |f(x) =x∣3x−2∣ .

Accepted Answer

A)   Local maximum: .33; no local minimum
B)   No local maximum; local minimum:  .05.05.05 
C)   Local maximum: .05; local minimum: .33
D)   Local maximum: .33; local minimum: 67

Question 17

Use an equation to solve the problem.
-If Gloria received a  4%4 \%4%  raise and is now making  $24,960\$ 24,960$24,960  a year, what was her salary before the raise?

Accepted Answer

A)    $24,000\$ 24,000$24,000 
B)    $22,960\$ 22,960$22,960 
C)    $23,960\$ 23,960$23,960 
D)    $25,000\$ 25,000$25,000

Question 18

Graph the function on your calculator to determine the domain and range from the graph.
- h(x) =∣x∣−7h ( x )  = | x | - 7h(x) =∣x∣−7

Accepted Answer

A)   Domain:  [−7,∞) [ - 7 , \infty ) [−7,∞)  ; range:  (−∞,∞) ( - \infty , \infty ) (−∞,∞)  
B)   Domain:  (−∞,∞) ( - \infty , \infty ) (−∞,∞)  ; range:  (−7,∞) ( - 7 , \infty ) (−7,∞)  
C)   Domain:  (−7,∞) ( - 7 , \infty ) (−7,∞)  ; range:  (−∞,∞) ( - \infty , \infty ) (−∞,∞)  
D)   Domain:  (−∞,∞) ( - \infty , \infty ) (−∞,∞)  ; range:  [−7,∞) [ - 7 , \infty ) [−7,∞)

Question 19

Give the equation of the function g whose graph is described.
-The graph of  f(x) =x3f ( x )  = x ^ { 3 }f(x) =x3  is shifted  1.31.31.3  units to the right and then vertically shrunk by a factor of  0.90.90.9 .

Accepted Answer

A)    g(x) =1.3(x−0.9) 3g ( x )  = 1.3 ( x - 0.9 )  ^ { 3 }g(x) =1.3(x−0.9) 3 
B)    g(x) =0.9(x+1.3) 3g ( x )  = 0.9 ( x + 1.3 )  ^ { 3 }g(x) =0.9(x+1.3) 3 
C)    g(x) =0.9(x−1.3) 3g ( x )  = 0.9 ( x - 1.3 )  ^ { 3 }g(x) =0.9(x−1.3) 3 
D)    g(x) =0.9x3+1.3g ( x )  = 0.9 x ^ { 3 } + 1.3g(x) =0.9x3+1.3

Question 20

Identify which of the twelve basic functions listed below fit the description given.
-The two functions with infinitely many zeros

Accepted Answer

A)    y=sin⁡x,y=1xy = \sin x , y = \frac { 1 } { x }y=sinx,y=x1​ 
B)    y=sin⁡x,y=cos⁡xy = \sin x , y = \cos xy=sinx,y=cosx 
C)    y=1x,y=exy = \frac { 1 } { x } , y = e ^ { x }y=x1​,y=ex 
D)    y=11+e−x,y=int⁡(x) y = \frac { 1 } { 1 + e ^ { - x } } , y = \operatorname { int } ( x ) y=1+e−x1​,y=int(x)

Exam 1: Functions and Graphs

Write the word or phrase that best completes each statement or answers the question. Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. - $f ( x ) = \frac { x - 2 } { x + 9 } \text { and } g ( x ) = \frac { - 9 x - 2 } { x - 1 }$

Correct Answer
verified
\[\begin{array} { l }
f ( g ( x ) ) = \...
View Answer

Match the equation with the appropriate graph. - $f ( x ) = \frac { x ^ { 3 } } { x ^ { 2 } - 1 }$

Correct Answer
verified

Write the word or phrase that best completes each statement or answers the question. Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. - $f ( x ) = \frac { x + 2 } { 5 } \text { and } g ( x ) = 5 x - 2$ 5

Correct Answer
verified
\[\begin{array} { l }
f ( g (...
View Answer

Use an equation to solve the problem. -Between 1990 and 2000 the population of a certain city grew from 202,000 to 239,700 . What was the percentage increase in the population of the city?

Correct Answer
verified

Give the equation of the function g whose graph is described. -The graph of $f ( x ) = x ^ { 3 }$ is shifted $1.3$ units to the right and then vertically shrunk by a factor of $0.9$ .

Correct Answer
verified

Graph the function on your calculator to determine the domain and range from the graph. - $h ( x ) = | x | - 7$

Correct Answer
verified

Choose the one alternative that best completes the statement or answers the question. -What are the $x$ -intercepts of $f ( x + 2 ) ?$

Correct Answer
verified

Correct Answer
verified

Solve the problem. -Estimate graphically the local maximum and local minimum for $f ( x ) = x | 3 x - 2 |$ .

Correct Answer
verified

Choose the one alternative that best completes the statement or answers the question. Write a mathematical expression for the quantity described verbally. -Two more than $5 \%$ of a number $x$

Correct Answer
verified

Match the function with the graph. - $Match the function with the graph. - A) y = \sqrt { x + 3 } B) y = \sqrt { x - 3 } C) y = \sqrt { x - 3 } - 2 D) y = \sqrt { x } - 2$

Correct Answer
verified

Correct Answer
verified

Determine whether the graph is the graph of a function. -

Correct Answer
verified

Determine if the function is bounded above, bounded below, bounded on its domain, or unbounded on its domain. - $y = \sqrt { 2 - x ^ { 2 } }$

Correct Answer
verified

Use an equation to solve the problem. -If Gloria received a $4 \%$ raise and is now making $\$ 24,960$ a year, what was her salary before the raise?

Correct Answer
verified

Identify which of the twelve basic functions listed below fit the description given. -The two functions with infinitely many zeros

Correct Answer
verified

Write the specified quantity as a function of the specified variable. -The base of an isosceles triangle is a third as long as the two equal sides. Write the perimeter of the triangle as a function of the length of the base.

Correct Answer
verified

Determine whether the formula determines y as a function of x. - $y = - 7 x ^ { 2 } - 3 x - 7$

Correct Answer
verified

Determine whether the graph is the graph of a function. -

Correct Answer
verified

Determine whether the formula determines y as a function of x. - $y = 5 x - 9$

Correct Answer
verified

Exam 1: Functions and Graphs

Correct Answerverified\[\begin{array} { l } f ( g ( x ) ) = \...View AnswerShow Answer

Match the equation with the appropriate graph. - f(x) =x3x2−1f ( x ) = \frac { x ^ { 3 } } { x ^ { 2 } - 1 }f(x) =x2−1x3​

Correct AnswerverifiedShow Answer

Write the word or phrase that best completes each statement or answers the question. Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. - f(x)=x+25 and g(x)=5x−2f ( x ) = \frac { x + 2 } { 5 } \text { and } g ( x ) = 5 x - 2f(x)=5x+2​ and g(x)=5x−2 5

Correct Answerverified\[\begin{array} { l } f ( g (...View AnswerShow Answer

Use an equation to solve the problem. -Between 1990 and 2000 the population of a certain city grew from 202,000 to 239,700 . What was the percentage increase in the population of the city?

Correct AnswerverifiedShow Answer

Give the equation of the function g whose graph is described. -The graph of f(x) =x3f ( x ) = x ^ { 3 }f(x) =x3 is shifted 1.31.31.3 units to the right and then vertically shrunk by a factor of 0.90.90.9 .

Correct AnswerverifiedShow Answer

Graph the function on your calculator to determine the domain and range from the graph. - h(x) =∣x∣−7h ( x ) = | x | - 7h(x) =∣x∣−7

Correct AnswerverifiedShow Answer

Choose the one alternative that best completes the statement or answers the question. -What are the xxx -intercepts of f(x+2) ?f ( x + 2 ) ?f(x+2) ?

Correct AnswerverifiedShow Answer

Write the word or phrase that best completes each statement or answers the question. Sketch the graph of the given function based on the graph of the function f given below. - Sketch the graph of y=−f(x+2)−1\text { Sketch the graph of } y = - f ( x + 2 ) - 1 Sketch the graph of y=−f(x+2)−1

Correct AnswerverifiedShow Answer

Solve the problem. -Estimate graphically the local maximum and local minimum for f(x) =x∣3x−2∣f ( x ) = x | 3 x - 2 |f(x) =x∣3x−2∣ .

Correct AnswerverifiedShow Answer

Choose the one alternative that best completes the statement or answers the question. Write a mathematical expression for the quantity described verbally. -Two more than 5%5 \%5% of a number xxx

Correct AnswerverifiedShow Answer

Match the function with the graph. -

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Determine whether the graph is the graph of a function. -

Correct AnswerverifiedShow Answer

Determine if the function is bounded above, bounded below, bounded on its domain, or unbounded on its domain. - y=2−x2y = \sqrt { 2 - x ^ { 2 } }y=2−x2​

Correct AnswerverifiedShow Answer

Use an equation to solve the problem. -If Gloria received a 4%4 \%4% raise and is now making $24,960\$ 24,960$24,960 a year, what was her salary before the raise?

Correct AnswerverifiedShow Answer

Identify which of the twelve basic functions listed below fit the description given. -The two functions with infinitely many zeros

Correct AnswerverifiedShow Answer

Write the specified quantity as a function of the specified variable. -The base of an isosceles triangle is a third as long as the two equal sides. Write the perimeter of the triangle as a function of the length of the base.

Correct AnswerverifiedShow Answer

Determine whether the formula determines y as a function of x. - y=−7x2−3x−7y = - 7 x ^ { 2 } - 3 x - 7y=−7x2−3x−7

Correct AnswerverifiedShow Answer

Determine whether the graph is the graph of a function. -

Correct AnswerverifiedShow Answer

Determine whether the formula determines y as a function of x. - y=5x−9y = 5 x - 9y=5x−9

Correct AnswerverifiedShow Answer

Correct Answer
verified
\[\begin{array} { l }
f ( g ( x ) ) = \...
View Answer

Match the equation with the appropriate graph. - $f ( x ) = \frac { x ^ { 3 } } { x ^ { 2 } - 1 }$

Correct Answer
verified

Write the word or phrase that best completes each statement or answers the question. Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. - $f ( x ) = \frac { x + 2 } { 5 } \text { and } g ( x ) = 5 x - 2$ 5

Correct Answer
verified
\[\begin{array} { l }
f ( g (...
View Answer

Correct Answer
verified

Give the equation of the function g whose graph is described. -The graph of $f ( x ) = x ^ { 3 }$ is shifted $1.3$ units to the right and then vertically shrunk by a factor of $0.9$ .

Correct Answer
verified

Graph the function on your calculator to determine the domain and range from the graph. - $h ( x ) = | x | - 7$

Correct Answer
verified

Choose the one alternative that best completes the statement or answers the question. -What are the $x$ -intercepts of $f ( x + 2 ) ?$

Correct Answer
verified

Correct Answer
verified

Solve the problem. -Estimate graphically the local maximum and local minimum for $f ( x ) = x | 3 x - 2 |$ .

Correct Answer
verified

Choose the one alternative that best completes the statement or answers the question. Write a mathematical expression for the quantity described verbally. -Two more than $5 \%$ of a number $x$

Correct Answer
verified

Match the function with the graph. - $Match the function with the graph. - A) y = \sqrt { x + 3 } B) y = \sqrt { x - 3 } C) y = \sqrt { x - 3 } - 2 D) y = \sqrt { x } - 2$

Correct Answer
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Correct Answer
verified

Correct Answer
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Determine if the function is bounded above, bounded below, bounded on its domain, or unbounded on its domain. - $y = \sqrt { 2 - x ^ { 2 } }$

Correct Answer
verified

Use an equation to solve the problem. -If Gloria received a $4 \%$ raise and is now making $\$ 24,960$ a year, what was her salary before the raise?

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Determine whether the formula determines y as a function of x. - $y = - 7 x ^ { 2 } - 3 x - 7$

Correct Answer
verified

Correct Answer
verified

Determine whether the formula determines y as a function of x. - $y = 5 x - 9$

Correct Answer
verified