Question 1

Graph Functions by Plotting Points
Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the
graph of f.
-$f(x)=-4 x, g(x)=-4 x-4$

Accepted Answer

A)  g shifts the graph of $f$ vertically down 4 units
 
B)  $g$ shifts the graph of $f$ vertically down 4 units
 
C)  g shifts the graph of $f$ vertically up 4 units
 
D)  $g$ shifts the graph of $f$ vertically up 4 units

Question 2

Evaluate a Function
Evaluate the function at the given value of the independent variable and simplify.
-$f ( x ) = 2 x + 4 ; \quad f ( 6 )$

Accepted Answer

A)  16 
B)  36 
C)  8 
D)  6

Question 3

Determine whether the relation is a function.
-{(-4, -1), (-3, 7), (2, -8), (2, -9)}

Accepted Answer

A) Not a function 
B) Function

Question 4

Determine whether the relation is a function.
-{(-5, 4), (-2, 9), (4, 8), (5, 2)}

Accepted Answer

A) Function 
B) Not a function

Question 5

Give the domain and range of the relation.
-{(6, -5), (3, 2), (4, 6), (-1, 3), (-4, 9)}

Accepted Answer

A) domain = {4, -1, 3, 6, -4}; range = {6, 3, 2, -5, 9} 
B) domain = {6, 3, 2, -5, 9}; range = {4, -1, 3, 6, -4} 
C) domain = {4, 6, -1, 3, 3}; range = {2, 6, -5, -4, 9} 
D) domain = {2, 6, -5, -4, 9}; range = {4, 6, -1, 3, 3}

Question 6

Use the Vertical Line Test to Identify Functions
Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x.
-

Accepted Answer

A)  not a function 
B)  function

Question 7

Evaluate a Function
Evaluate the function at the given value of the independent variable and simplify.
-$$f ( x ) = \frac { x ^ { 2 } - 3 } { x ^ { 3 } - 6 x } ; f ( 2 )$$

Accepted Answer

A)  $- \frac { 1 } { 4 }$ 
B)  $\frac { 1 } { 8 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  - 1

Question 8

Determine whether the equation defines y as a function of x.
-$$| x | - y = 6$$

Accepted Answer

A)  $y$ is a function of $x$ 
B)  $y$ is not a function of $x$

Question 9

Use the Vertical Line Test to Identify Functions
Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x.
-

Accepted Answer

A)  function 
B)  not a function

Question 10

Use the Vertical Line Test to Identify Functions
Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x.
-

Accepted Answer

A)  function 
B)  not a function

Question 11

Determine whether the equation defines y as a function of x.
-x2 + y = 25

Accepted Answer

A) y is a function of x 
B) y is not a function of x

Question 12

Use the Vertical Line Test to Identify Functions
Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x.
-

Accepted Answer

A)  function 
B)  not a function

Question 13

Solve the problem.
-The total cost in dollars for a certain company to produce x empty jars to be used by a jelly producer is given by the function C(x)= 0.3x + 27,000. Find C(90,000), the cost of producing 90,000 jars.

Accepted Answer

A) $54,000 
B) $27,000 
C) $27.30 
D) $90,027

Question 14

Use the Vertical Line Test to Identify Functions
Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x.
-

Accepted Answer

A)  function 
B)  not a function

Question 15

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use
the graph to answer the question. $$\text { Percent of Students in College of Engineering }$$

-

Accepted Answer

A)  domain: $( - \infty , \infty )$
range:([ 0,4 ] 
B)  domain: $( - \infty , \infty )$
range: $[ 2,4 ]$ 
C)  domain: $[ 0,4 ]$
range: $( - \infty , \infty )$ 
D)  domain: $[ 2,4 ]$ )  
range: $( - \infty , \infty )$

Question 16

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use
the graph to answer the question. $$\text { Percent of Students in College of Engineering }$$

-

Accepted Answer

A)  domain: $( - \infty , \infty )$
range: $( - \infty , 4 ]$ 
B)  domain: $( - \infty , \infty )$ 
range: $( - \infty , \infty )$ 
C)  domain: $( - \infty , 5 ]$
range: $( - \infty , 4 ]$ 
D)  domain: $( - \infty , 5 )$ or $( 5 , \infty )$
range: $( - \infty , 4 )$ or $( 4 , \infty )$

Question 17

Determine whether the equation defines y as a function of x.
-$$y = - \sqrt { x - 8 }$$

Accepted Answer

A)  $y$ is a function of $x$ 
B)  $y$ is not $a$ function of $x$

Question 18

Determine whether the relation is a function.
-{(-3, -8), (3, 6), (5, -5), (7, -6), (10, 6)}

Accepted Answer

A) Function 
B) Not a function

Question 19

Give the domain and range of the relation.
-{(6, 6), (11, -5), (3, 4), (3, -3)}

Accepted Answer

A) domain = {6, 3, 11}; range = {6, 4, -5, -3} 
B) domain = {6, 3, 11, -3}; range = {6, 4, -5, -3} 
C) domain = {6, 3, 11, 13}; range = {6, 4, -5, -3} 
D) domain = {6, 4, -5, -3}; range = {6, 3, 11}

Question 20

Graph Functions by Plotting Points
Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the
graph of f.
-$f(x)=|x|, g(x)=|x|+4$

Accepted Answer

A)  $g$ shifts the graph of $f$ vertically up 4 units
 
B)  $g$ shifts the graph of $f$ vertically down 4 units
 
C)  g shifts the graph of $f$ vertically down 4 units
 
D)  g shifts the graph of $f$ vertically up 4 units

Exam 2: Functions and Graphs

Graph Functions by Plotting Points Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph of f. - $f(x) =-4 x, g(x) =-4 x-4$

Evaluate a Function Evaluate the function at the given value of the independent variable and simplify. - $f ( x ) = 2 x + 4 ; \quad f ( 6 )$

Determine whether the relation is a function. -{(-4, -1) , (-3, 7) , (2, -8) , (2, -9) }

Determine whether the relation is a function. -{(-5, 4) , (-2, 9) , (4, 8) , (5, 2) }

Give the domain and range of the relation. -{(6, -5) , (3, 2) , (4, 6) , (-1, 3) , (-4, 9) }

Use the Vertical Line Test to Identify Functions Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x. -

Evaluate a Function Evaluate the function at the given value of the independent variable and simplify. - $f ( x ) = \frac { x ^ { 2 } - 3 } { x ^ { 3 } - 6 x } ; f ( 2 )$

Determine whether the equation defines y as a function of x. - $| x | - y = 6$

Use the Vertical Line Test to Identify Functions Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x. -

Use the Vertical Line Test to Identify Functions Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x. -

Determine whether the equation defines y as a function of x. -x2 + y = 25

Use the Vertical Line Test to Identify Functions Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x. -

Solve the problem. -The total cost in dollars for a certain company to produce x empty jars to be used by a jelly producer is given by the function C(x) = 0.3x + 27,000. Find C(90,000) , the cost of producing 90,000 jars.

Use the Vertical Line Test to Identify Functions Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x. -

Determine whether the equation defines y as a function of x. - $y = - \sqrt { x - 8 }$

Determine whether the relation is a function. -{(-3, -8) , (3, 6) , (5, -5) , (7, -6) , (10, 6) }

Give the domain and range of the relation. -{(6, 6) , (11, -5) , (3, 4) , (3, -3) }

Graph Functions by Plotting Points Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph of f. - $f(x) =|x|, g(x) =|x|+4$

Exam 2: Functions and Graphs

Graph Functions by Plotting Points Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph of f. - f(x) =−4x,g(x) =−4x−4f(x) =-4 x, g(x) =-4 x-4f(x) =−4x,g(x) =−4x−4

Evaluate a Function Evaluate the function at the given value of the independent variable and simplify. - f(x) =2x+4;f(6) f ( x ) = 2 x + 4 ; \quad f ( 6 ) f(x) =2x+4;f(6)

Determine whether the relation is a function. -{(-4, -1) , (-3, 7) , (2, -8) , (2, -9) }

Determine whether the relation is a function. -{(-5, 4) , (-2, 9) , (4, 8) , (5, 2) }

Give the domain and range of the relation. -{(6, -5) , (3, 2) , (4, 6) , (-1, 3) , (-4, 9) }

Use the Vertical Line Test to Identify Functions Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x. -

Evaluate a Function Evaluate the function at the given value of the independent variable and simplify. - f(x) =x2−3x3−6x;f(2) f ( x ) = \frac { x ^ { 2 } - 3 } { x ^ { 3 } - 6 x } ; f ( 2 ) f(x) =x3−6xx2−3​;f(2)

Determine whether the equation defines y as a function of x. - ∣x∣−y=6| x | - y = 6∣x∣−y=6

Use the Vertical Line Test to Identify Functions Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x. -

Use the Vertical Line Test to Identify Functions Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x. -

Determine whether the equation defines y as a function of x. -x2 + y = 25

Use the Vertical Line Test to Identify Functions Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x. -

Solve the problem. -The total cost in dollars for a certain company to produce x empty jars to be used by a jelly producer is given by the function C(x) = 0.3x + 27,000. Find C(90,000) , the cost of producing 90,000 jars.

Use the Vertical Line Test to Identify Functions Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x. -

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. Percent of Students in College of Engineering \text { Percent of Students in College of Engineering } Percent of Students in College of Engineering -

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. Percent of Students in College of Engineering \text { Percent of Students in College of Engineering } Percent of Students in College of Engineering -

Determine whether the equation defines y as a function of x. - y=−x−8y = - \sqrt { x - 8 }y=−x−8​

Determine whether the relation is a function. -{(-3, -8) , (3, 6) , (5, -5) , (7, -6) , (10, 6) }

Give the domain and range of the relation. -{(6, 6) , (11, -5) , (3, 4) , (3, -3) }

Graph Functions by Plotting Points Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph of f. - f(x) =∣x∣,g(x) =∣x∣+4f(x) =|x|, g(x) =|x|+4f(x) =∣x∣,g(x) =∣x∣+4

Graph Functions by Plotting Points Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph of f. - $f(x) =-4 x, g(x) =-4 x-4$

Evaluate a Function Evaluate the function at the given value of the independent variable and simplify. - $f ( x ) = 2 x + 4 ; \quad f ( 6 )$

Evaluate a Function Evaluate the function at the given value of the independent variable and simplify. - $f ( x ) = \frac { x ^ { 2 } - 3 } { x ^ { 3 } - 6 x } ; f ( 2 )$

Determine whether the equation defines y as a function of x. - $| x | - y = 6$

Determine whether the equation defines y as a function of x. - $y = - \sqrt { x - 8 }$

Graph Functions by Plotting Points Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph of f. - $f(x) =|x|, g(x) =|x|+4$