Question 1

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 
A) function 
B) not a function

Question 2

Find and simplify the difference quotient $$\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$$ for the given function.
-$$f ( x ) = 3 x - 7$$

Accepted Answer

A)  0 
B)  $3 + \frac { - 14 } { h }$ 
C)  3 
D)  $3 + \frac { 6 ( x - 7 ) } { h }$ 
A)  0 
B)  $3 + \frac { - 14 } { h }$ 
C)  3 
D)  $3 + \frac { 6 ( x - 7 ) } { h }$

Question 3

Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph
of f.
-$(x)=x^{2}, g(x)=x^{2}+1$

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 4

Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph
of f.
-$f(x)=\sqrt{x}, g(x)=\sqrt{x}+2$

Accepted Answer

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

Question 5

Use possible symmetry to determine whether the graph is the graph of an even function, an odd function, or a function
that is neither even nor odd.
-

Accepted Answer

A) Neither 
B) Odd 
C) Even 
A) Neither 
B) Odd 
C) Even

Question 6

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 
A) function 
B) not a function

Question 7

Identify the intercepts
-

Accepted Answer

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

Question 8

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the
graph to answer the question.
  
-Does the graph represent a function?

Accepted Answer

A) yes 
B) no 
A) yes 
B) no

Question 9

Solve the problem.
-Suppose a life insurance policy costs $16 for the first unit of coverage and then $4 for each additional unit of coverage. Let C(x)be the cost for insurance of x units of coverage. What will 10 units of coverage cost?

Accepted Answer

A) $24 
B) $40 
C) $56 
D) $52 
A) $24 
B) $40 
C) $56 
D) $52

Question 10

Determine whether the equation defines y as a function of x.
-$$y ^ { 2 } = 5 x$$

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 11

Determine whether the relation is a function.
-{(1, 5), (2, 3), (5, -3), (7, -3), (11, 7)}

Accepted Answer

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

Question 12

Solve the problem.
-Suppose a car rental company charges $88 for the first day and $38 for each additional or partial day. Let S(x) represent the cost of renting a car for x days. Find the value of S(4.5).

Accepted Answer

A) $221 
B) $240 
C) $171 
D) $259 
A) $221 
B) $240 
C) $171 
D) $259

Question 13

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 14

Find and simplify the difference quotient $$\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$$ for the given function.
-$$f ( x ) = 3 x ^ { 2 }$$

Accepted Answer

A)  $\frac { 3 \left( 2 x ^ { 2 } + 2 x h + h ^ { 2 } \right) } { h }$ 
B)  $3 ( 2 x + h )$ 
C)  3 
D)  $\frac { 6 } { h } + x + 3 h$ 
A)  $\frac { 3 \left( 2 x ^ { 2 } + 2 x h + h ^ { 2 } \right) } { h }$ 
B)  $3 ( 2 x + h )$ 
C)  3 
D)  $\frac { 6 } { h } + x + 3 h$

Question 15

Give the domain and range of the relation.
-{(-6, 5), (-6, -7), (5, -6), (6, -1), (-4, -5)}

Accepted Answer

A) domain = {5, -4, 6, -6}; range = {-6, -5, -1, -7, 5} 
B) domain = {5, 13, -4, 6, -6}; range = {-6, -5, -1, -7, 5} 
C) domain = {-6, -5, -1, -7, 5}; range = {5, 5, -4, 6, -6} 
D) domain = {5, -3, -4, 6, -6}; range = {-6, -5, -1, -7, 5} 
A) domain = {5, -4, 6, -6}; range = {-6, -5, -1, -7, 5} 
B) domain = {5, 13, -4, 6, -6}; range = {-6, -5, -1, -7, 5} 
C) domain = {-6, -5, -1, -7, 5}; range = {5, 5, -4, 6, -6} 
D) domain = {5, -3, -4, 6, -6}; range = {-6, -5, -1, -7, 5}

Question 16

Solve the problem.
-A salesperson gets a commission of $1400 for the first $10,000 of sales, and then $700 for each additional $10,000 or partial of sales. Let S(x)represent the commission on x dollars of sales. Find the value of
S(65,000).

Accepted Answer

A) $5600 
B) $4550 
C) $5250 
D) 5950 
A) $5600 
B) $4550 
C) $5250 
D) 5950

Question 17

Give the domain and range of the relation.
-{(-2, 3), (-1, 0), (0, -1), (1, 0), (3, 8)}

Accepted Answer

A) domain: {-2, -1, 1, 3}; range: {3, 0, -1, 8} 
B) domain: {3, 0, -1, 8}; range: {-2, -1, 0, 1, 3} 
C) domain: {3, 0, -1, 8}; range: {-2, -1, 1, 3} 
D) domain: {-2, -1, 0, 1, 3}; range: {3, 0, -1, 8} 
A) domain: {-2, -1, 1, 3}; range: {3, 0, -1, 8} 
B) domain: {3, 0, -1, 8}; range: {-2, -1, 0, 1, 3} 
C) domain: {3, 0, -1, 8}; range: {-2, -1, 1, 3} 
D) domain: {-2, -1, 0, 1, 3}; range: {3, 0, -1, 8}

Question 18

Determine whether the equation defines y as a function of x.
-$$2 x + 3 y = 15$$

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 19

Find the slope of the line that goes through the given points.
-$( - 1,1 )$ and $\left( \frac { 1 } { 2 } , 4 \right)$

Accepted Answer

A)  $\frac { 1 } { 2 }$ 
B)  $- \frac { 1 } { 2 }$ 
C)  $\frac { 10 } { 3 }$ 
D)  2 
A)  $\frac { 1 } { 2 }$ 
B)  $- \frac { 1 } { 2 }$ 
C)  $\frac { 10 } { 3 }$ 
D)  2

Question 20

Give the domain and range of the relation.
-{(-6, -2), (10, -6), (9, -5), (9, 8)}

Accepted Answer

A) domain = {10, 9, -6, -9}; range = {-6, -5, -2, 8} 
B) domain = {-6, -5, -2, 8}; range = {10, 9, -6} 
C) domain = {10, 9, -6}; range = {-6, -5, -2, 8} 
D) domain = {10, 9, -6, 19}; range = {-6, -5, -2, 8} 
A) domain = {10, 9, -6, -9}; range = {-6, -5, -2, 8} 
B) domain = {-6, -5, -2, 8}; range = {10, 9, -6} 
C) domain = {10, 9, -6}; range = {-6, -5, -2, 8} 
D) domain = {10, 9, -6, 19}; range = {-6, -5, -2, 8}

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

Find and simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$ for the given function. - $f ( x ) = 3 x - 7$

Use possible symmetry to determine whether the graph is the graph of an even function, an odd function, or a function that is neither even nor odd. -

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

Identify the intercepts -

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. -Does the graph represent a function?

Solve the problem. -Suppose a life insurance policy costs $16 for the first unit of coverage and then $4 for each additional unit of coverage. Let C(x)be the cost for insurance of x units of coverage. What will 10 units of coverage cost?

Determine whether the equation defines y as a function of x. - $y ^ { 2 } = 5 x$

Determine whether the relation is a function. -{(1, 5), (2, 3), (5, -3), (7, -3), (11, 7)}

Solve the problem. -Suppose a car rental company charges $88 for the first day and $38 for each additional or partial day. Let S(x) represent the cost of renting a car for x days. Find the value of S(4.5).

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

Find and simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$ for the given function. - $f ( x ) = 3 x ^ { 2 }$

Give the domain and range of the relation. -{(-6, 5), (-6, -7), (5, -6), (6, -1), (-4, -5)}

Solve the problem. -A salesperson gets a commission of $1400 for the first $10,000 of sales, and then $700 for each additional $10,000 or partial of sales. Let S(x)represent the commission on x dollars of sales. Find the value of S(65,000).

Give the domain and range of the relation. -{(-2, 3), (-1, 0), (0, -1), (1, 0), (3, 8)}

Determine whether the equation defines y as a function of x. - $2 x + 3 y = 15$

Find the slope of the line that goes through the given points. - $( - 1,1 )$ and $\left( \frac { 1 } { 2 } , 4 \right)$

Give the domain and range of the relation. -{(-6, -2), (10, -6), (9, -5), (9, 8)}

Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Filters

Exam 2: Functions and Graphs

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

Find and simplify the difference quotient f(x+h)−f(x)h,h≠0\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0hf(x+h)−f(x)​,h=0 for the given function. - f(x)=3x−7f ( x ) = 3 x - 7f(x)=3x−7

Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph of f. - (x)=x2,g(x)=x2+1(x)=x^{2}, g(x)=x^{2}+1(x)=x2,g(x)=x2+1

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+2f(x)=\sqrt{x}, g(x)=\sqrt{x}+2f(x)=x​,g(x)=x​+2

Use possible symmetry to determine whether the graph is the graph of an even function, an odd function, or a function that is neither even nor odd. -

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

Identify the intercepts -

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. -Does the graph represent a function?

Solve the problem. -Suppose a life insurance policy costs $16 for the first unit of coverage and then $4 for each additional unit of coverage. Let C(x)be the cost for insurance of x units of coverage. What will 10 units of coverage cost?

Determine whether the equation defines y as a function of x. - y2=5xy ^ { 2 } = 5 xy2=5x

Determine whether the relation is a function. -{(1, 5), (2, 3), (5, -3), (7, -3), (11, 7)}

Solve the problem. -Suppose a car rental company charges $88 for the first day and $38 for each additional or partial day. Let S(x) represent the cost of renting a car for x days. Find the value of S(4.5).

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

Find and simplify the difference quotient f(x+h)−f(x)h,h≠0\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0hf(x+h)−f(x)​,h=0 for the given function. - f(x)=3x2f ( x ) = 3 x ^ { 2 }f(x)=3x2

Give the domain and range of the relation. -{(-6, 5), (-6, -7), (5, -6), (6, -1), (-4, -5)}

Solve the problem. -A salesperson gets a commission of $1400 for the first $10,000 of sales, and then $700 for each additional $10,000 or partial of sales. Let S(x)represent the commission on x dollars of sales. Find the value of S(65,000).

Give the domain and range of the relation. -{(-2, 3), (-1, 0), (0, -1), (1, 0), (3, 8)}

Determine whether the equation defines y as a function of x. - 2x+3y=152 x + 3 y = 152x+3y=15

Find the slope of the line that goes through the given points. - (−1,1)( - 1,1 )(−1,1) and (12,4)\left( \frac { 1 } { 2 } , 4 \right)(21​,4)

Give the domain and range of the relation. -{(-6, -2), (10, -6), (9, -5), (9, 8)}

Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Filters

Find and simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$ for the given function. - $f ( x ) = 3 x - 7$

Determine whether the equation defines y as a function of x. - $y ^ { 2 } = 5 x$

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

Find and simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$ for the given function. - $f ( x ) = 3 x ^ { 2 }$

Determine whether the equation defines y as a function of x. - $2 x + 3 y = 15$

Find the slope of the line that goes through the given points. - $( - 1,1 )$ and $\left( \frac { 1 } { 2 } , 4 \right)$