Question 1

Use the graph to find the indicated function value.
-y = f(x). Find f(-4)

Accepted Answer

A)  0 
B)  9 
C)  4 
D)  3 
A)  0 
B)  9 
C)  4 
D)  3

Question 2

Identify the intercepts.
-

Accepted Answer

A)  $( - 2,0 ) , ( 0,6 )$ 
B)  $( 2,0 ) , ( 0,6 )$ 
C)  $( - 2,0 ) , ( 0 , - 6 )$ 
D)  $( - 6,0 ) , ( 0,6 )$ 
A)  $( - 2,0 ) , ( 0,6 )$ 
B)  $( 2,0 ) , ( 0,6 )$ 
C)  $( - 2,0 ) , ( 0 , - 6 )$ 
D)  $( - 6,0 ) , ( 0,6 )$

Question 3

Determine whether the relation is a function.
-{(-7, -1), (-3, -6), (-2, -7), (2, -2)}

Accepted Answer

A) Function 
B) Not a function 
A) Function 
B) Not a function

Question 4

Determine whether the relation is a function.
-{(-6, 8), (-6, -5), (2, -8), (6, -8), (9, 6)}

Accepted Answer

A) Not a function 
B) Function 
A) Not a function 
B) Function

Question 5

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.
-$f(x)=x, g(x)=x+1$

Accepted Answer

A)  $g$ shifts the graph of $f$ vertically up 1 unit
  
B)  $g$ shifts the graph of $f$ vertically down 1 unit
  
C)  g shifts the graph of $f$ vertically down 1 unit
  
D)  g shifts the graph of $f$ vertically up 1 unit
  
A)  $g$ shifts the graph of $f$ vertically up 1 unit
  
B)  $g$ shifts the graph of $f$ vertically down 1 unit
  
C)  g shifts the graph of $f$ vertically down 1 unit
  
D)  g shifts the graph of $f$ vertically up 1 unit

Question 6

Determine whether the relation is a function.
-{(1, -2), (1, -4), (4, -3), (9, -1), (12, 5)}

Accepted Answer

A) Not a function 
B) Function 
A) Not a function 
B) Function

Question 7

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

Question 8

Evaluate a Function
Evaluate the function at the given value of the independent variable and simplify.
-$$h ( x ) = | x - 11 | ; \quad h ( 15 )$$

Accepted Answer

A)  4 
B)  $- 26$ 
C)  26 
D)  $- 4$ 
A)  4 
B)  $- 26$ 
C)  26 
D)  $- 4$

Question 9

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.
-$f(x)=\sqrt{x}, g(x)=\sqrt{x-1}$

Accepted Answer

A)  $g$ shifts the graph of $f 1$ unit to the right
  
B)  g shifts the graph of $f 1$ unit to the left
  
C)  g shifts the graph of $f$ vertically up 1 unit
  
D)  g shifts the graph of $f$ vertically down 1 unit
  
A)  $g$ shifts the graph of $f 1$ unit to the right
  
B)  g shifts the graph of $f 1$ unit to the left
  
C)  g shifts the graph of $f$ vertically up 1 unit
  
D)  g shifts the graph of $f$ vertically down 1 unit

Question 10

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.
-$f(x)=\sqrt{x}, g(x)=\sqrt{x}-1$

Accepted Answer

A)  $g$ shifts the graph of $f$ vertically down 1 unit
  
B)  $g$ shifts the graph of $f$ vertically up 1 unit
  
C)  $g$ shifts the graph of $f$ vertically down 1 unit
  
D)  $g$ shifts the graph of $f$ vertically up 1 unit
  
A)  $g$ shifts the graph of $f$ vertically down 1 unit
  
B)  $g$ shifts the graph of $f$ vertically up 1 unit
  
C)  $g$ shifts the graph of $f$ vertically down 1 unit
  
D)  $g$ shifts the graph of $f$ vertically up 1 unit

Question 11

Determine whether the equation defines y as a function of x.
-x + y = 49

Accepted Answer

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

Question 12

Identify the intercepts.
-

Accepted Answer

A)  $( 5,0 ) , ( - 5,0 ) , ( 0,4 ) , ( 0 , - 4 )$ 
B)  $( 5,0 ) , ( - 5,0 )$ 
C)  $( 0,4 ) , ( 0 , - 4 )$ 
D)  $( 4,0 ) , ( - 4,0 ) , ( 0,5 ) , ( 0 , - 5 )$ 
A)  $( 5,0 ) , ( - 5,0 ) , ( 0,4 ) , ( 0 , - 4 )$ 
B)  $( 5,0 ) , ( - 5,0 )$ 
C)  $( 0,4 ) , ( 0 , - 4 )$ 
D)  $( 4,0 ) , ( - 4,0 ) , ( 0,5 ) , ( 0 , - 5 )$

Question 13

Determine whether the relation is a function.
-{(-6, 3), (-1, 3), (1, -1), (1, 1)}

Accepted Answer

A) Not a function 
B) Function 
A) Not a function 
B) Function

Question 14

Determine whether the equation defines y as a function of x.
-$$x = y ^ { 2 }$$

Accepted Answer

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

Question 15

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

Accepted Answer

A) domain = {4, -5, -1, 9}; range = {-4, 3, -1, 9, 1} 
B) domain = {4, -4, -5, -1, 9}; range = {-4, 3, -1, 9, 1} 
C) domain = {4, 14, -5, -1, 9}; range = {-4, 3, -1, 9, 1} 
D) domain = {-4, 3, -1, 9, 1}; range = {4, 4, -5, -1, 9} 
A) domain = {4, -5, -1, 9}; range = {-4, 3, -1, 9, 1} 
B) domain = {4, -4, -5, -1, 9}; range = {-4, 3, -1, 9, 1} 
C) domain = {4, 14, -5, -1, 9}; range = {-4, 3, -1, 9, 1} 
D) domain = {-4, 3, -1, 9, 1}; range = {4, 4, -5, -1, 9}

Question 16

Determine whether the equation defines y as a function of x.
-$$y ^ { 2 } = 6 x$$

Accepted Answer

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

Question 17

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.
-$f(x)=2 x^{2}, g(x)=2 x^{2}-2$

Accepted Answer

A)  g shifts the graph of $f$ vertically down 2 units
  
B)  $g$ shifts the graph of $f$ vertically down 2 units
  
C)  g shifts the graph of $f$ vertically up 2 units
  
D)  g shifts the graph of $f$ vertically up 2 units
  
A)  g shifts the graph of $f$ vertically down 2 units
  
B)  $g$ shifts the graph of $f$ vertically down 2 units
  
C)  g shifts the graph of $f$ vertically up 2 units
  
D)  g shifts the graph of $f$ vertically up 2 units

Question 18

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.
-$f(x)=x^{2}, g(x)=x^{2}+1$

Accepted Answer

A)  g shifts the graph of $f$ vertically up 1 unit
  
B)  $g$ shifts the graph of $f$ vertically down 1 unit
  
C)  $g$ shifts the graph of $f$ vertically down 1 unit
  
D)  $g$ shifts the graph of $f$ vertically up 1 unit
  
A)  g shifts the graph of $f$ vertically up 1 unit
  
B)  $g$ shifts the graph of $f$ vertically down 1 unit
  
C)  $g$ shifts the graph of $f$ vertically down 1 unit
  
D)  $g$ shifts the graph of $f$ vertically up 1 unit

Question 19

Give the domain and range of the relation.
-{(-2, 6), (-1, 3), (0, 2), (1, 3), (3, 11)}

Accepted Answer

A) domain: {-2, -1, 0, 1, 3}; range: {6, 3, 2, 11} 
B) domain: {-2, -1, 1, 3}; range: {6, 3, 2, 11} 
C) domain: {6, 3, 2, 11}; range: {-2, -1, 0, 1, 3} 
D) domain: {6, 3, 2, 11}; range: {-2, -1, 1, 3} 
A) domain: {-2, -1, 0, 1, 3}; range: {6, 3, 2, 11} 
B) domain: {-2, -1, 1, 3}; range: {6, 3, 2, 11} 
C) domain: {6, 3, 2, 11}; range: {-2, -1, 0, 1, 3} 
D) domain: {6, 3, 2, 11}; range: {-2, -1, 1, 3}

Question 20

Use the graph to find the indicated function value.
-y = f(x). Find f(4)

Accepted Answer

A)  9 
B)  7 
C)  $- 9$ 
D)  $1.5$ 
A)  9 
B)  7 
C)  $- 9$ 
D)  $1.5$

Use the graph to find the indicated function value. -y = f(x). Find f(-4)

Identify the intercepts. -

Determine whether the relation is a function. -{(-7, -1), (-3, -6), (-2, -7), (2, -2)}

Determine whether the relation is a function. -{(-6, 8), (-6, -5), (2, -8), (6, -8), (9, 6)}

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. - $f(x)=x, g(x)=x+1$

Determine whether the relation is a function. -{(1, -2), (1, -4), (4, -3), (9, -1), (12, 5)}

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. - $f(x)=|x|, g(x)=|x|-4$

Evaluate a Function Evaluate the function at the given value of the independent variable and simplify. - $h ( x ) = | x - 11 | ; \quad h ( 15 )$

Determine whether the equation defines y as a function of x. -x + y = 49

Identify the intercepts. -

Determine whether the relation is a function. -{(-6, 3), (-1, 3), (1, -1), (1, 1)}

Determine whether the equation defines y as a function of x. - $x = y ^ { 2 }$

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

Determine whether the equation defines y as a function of x. - $y ^ { 2 } = 6 x$

Give the domain and range of the relation. -{(-2, 6), (-1, 3), (0, 2), (1, 3), (3, 11)}

Use the graph to find the indicated function value. -y = f(x). Find f(4)

Equations and Inequalities

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Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants

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Exam 2: Functions and Graphs

Use the graph to find the indicated function value. -y = f(x). Find f(-4)

Identify the intercepts. -

Determine whether the relation is a function. -{(-7, -1), (-3, -6), (-2, -7), (2, -2)}

Determine whether the relation is a function. -{(-6, 8), (-6, -5), (2, -8), (6, -8), (9, 6)}

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+1f(x)=x, g(x)=x+1f(x)=x,g(x)=x+1

Determine whether the relation is a function. -{(1, -2), (1, -4), (4, -3), (9, -1), (12, 5)}

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

Evaluate a Function Evaluate the function at the given value of the independent variable and simplify. - h(x)=∣x−11∣;h(15)h ( x ) = | x - 11 | ; \quad h ( 15 )h(x)=∣x−11∣;h(15)

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−1f(x)=\sqrt{x}, g(x)=\sqrt{x-1}f(x)=x​,g(x)=x−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)=x,g(x)=x−1f(x)=\sqrt{x}, g(x)=\sqrt{x}-1f(x)=x​,g(x)=x​−1

Determine whether the equation defines y as a function of x. -x + y = 49

Identify the intercepts. -

Determine whether the relation is a function. -{(-6, 3), (-1, 3), (1, -1), (1, 1)}

Determine whether the equation defines y as a function of x. - x=y2x = y ^ { 2 }x=y2

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

Determine whether the equation defines y as a function of x. - y2=6xy ^ { 2 } = 6 xy2=6x

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)=2x2,g(x)=2x2−2f(x)=2 x^{2}, g(x)=2 x^{2}-2f(x)=2x2,g(x)=2x2−2

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)=x2,g(x)=x2+1f(x)=x^{2}, g(x)=x^{2}+1f(x)=x2,g(x)=x2+1

Give the domain and range of the relation. -{(-2, 6), (-1, 3), (0, 2), (1, 3), (3, 11)}

Use the graph to find the indicated function value. -y = f(x). Find f(4)

Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants

Conic Sections

Sequences, Induction, and Probability

Filters

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. - $f(x)=x, g(x)=x+1$

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. - $f(x)=|x|, g(x)=|x|-4$

Evaluate a Function Evaluate the function at the given value of the independent variable and simplify. - $h ( x ) = | x - 11 | ; \quad h ( 15 )$

Determine whether the equation defines y as a function of x. - $x = y ^ { 2 }$

Determine whether the equation defines y as a function of x. - $y ^ { 2 } = 6 x$