Question 1

Find the slope of the line that goes through the given points.
-(6, -1), (2, -1)

Accepted Answer

A)  0 
B)  $- \frac { 1 } { 4 }$ 
C)  Undefined 
D)  $\frac { 1 } { 2 }$ 
A)  0 
B)  $- \frac { 1 } { 4 }$ 
C)  Undefined 
D)  $\frac { 1 } { 2 }$

Question 2

Write the word or phrase that best completes each statement or answers the question.
-One Internet service provider has the following rate schedule for high-speed Internet service: $$\begin{array} { l l } 
\text { Monthly service charge } & \$ 18.00 \
& \
1 \text { st } 50 \text { hours of use } & \text { free } \
\text { Next } 50 \text { hours of use } & \$ 0.25 / \text { hour } \
\text { Over } 100 \text { hours of use } & \$ 1.00 / \text { hour }
\end{array}$$ What is the charge for 50 hours of high-speed Internet use in one month?
What is the charge for 75 hours of high-speed Internet use in one month?
What is the charge for 135 hours of high-speed Internet use in one month?

Accepted Answer

$18.00
$24

Question 3

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

Question 4

Find and simplify the difference quotient $$\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$$ for the given function.
-$$f ( x ) = x ^ { 2 } + 8 x - 9$$

Accepted Answer

A)  $2 x + h - 9$ 
B)  $2 x + h + 8$ 
C)  1 
D)  $\frac { 2 x ^ { 2 } + 2 x + 2 x h + h ^ { 2 } + h - 18 } { h }$ 
A)  $2 x + h - 9$ 
B)  $2 x + h + 8$ 
C)  1 
D)  $\frac { 2 x ^ { 2 } + 2 x + 2 x h + h ^ { 2 } + h - 18 } { h }$

Question 5

Evaluate the function at the given value of the independent variable and simplify.
-$$f ( x ) = \frac { x ^ { 3 } + 3 } { x ^ { 2 } - 5 } ; \quad f ( 5 )$$

Accepted Answer

A)  $\frac { 128 } { 25 }$ 
B)  $\frac { 32 } { 5 }$ 
C)  $\frac { 7 } { 5 }$ 
D)  $\frac { 25 } { 4 }$ 
A)  $\frac { 128 } { 25 }$ 
B)  $\frac { 32 } { 5 }$ 
C)  $\frac { 7 } { 5 }$ 
D)  $\frac { 25 } { 4 }$

Question 6

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the
graph to answer the question.
  
-If f(x)= 15%, what year is represented by x?

Accepted Answer

A) 1975 
B) 1970 
C) 1985 
D) 1980 
A) 1975 
B) 1970 
C) 1985 
D) 1980

Question 7

Identify the intervals where the function is changing as requested.
-Constant

Accepted Answer

A)  $( 1,2 )$ 
B)  $( - 1,1 )$ 
C)  $( - 2 , - 1 )$ 
D)  $( 2 , \infty )$ 
A)  $( 1,2 )$ 
B)  $( - 1,1 )$ 
C)  $( - 2 , - 1 )$ 
D)  $( 2 , \infty )$

Question 8

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 relative maximum. What are the relative maxima?

Accepted Answer

A) f has a relative maximum at x = 0; the relative maximum is 1 
B) f has a relative maximum at x = 3; the relative maximum is 1 
C) f has a relative maximum at x = -3 and 3; the relative maximum is 0 
D) f has no relative maximum 
A) f has a relative maximum at x = 0; the relative maximum is 1 
B) f has a relative maximum at x = 3; the relative maximum is 1 
C) f has a relative maximum at x = -3 and 3; the relative maximum is 0 
D) f has no relative maximum

Question 9

Evaluate the piecewise function at the given value of the independent variable.
-$$f ( x ) = \left\{ \begin{array} { l l } 
x + 4 & \text { if } - 8 \leq x  3
\end{array} \right.$$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 10

Find the slope of the line that goes through the given points.
-(-8, -9), (-8, -3)

Accepted Answer

A)  $\frac { 3 } { 8 }$ 
B)  $\frac { 3 } { 4 }$ 
C)  Undefined 
D)  0 
A)  $\frac { 3 } { 8 }$ 
B)  $\frac { 3 } { 4 }$ 
C)  Undefined 
D)  0

Question 11

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 
A) not a function 
B) function

Question 12

Use the graph to determine the function's domain and range.
-

Accepted Answer

A)  domain: $( - \infty , \infty )$
 range: $( - \infty , 3 ]$ 
B)  domain: $( - \infty , 3 ]$ 
range: $( - \infty , 3 ]$ 
C)  domain: $( - \infty , 3 )$ or $( 3 , \infty )$
 range: $( - \infty , 3 )$ or $( 3 , \infty )$ 
D)  domain: $( - \infty , \infty )$
range: $( - \infty , \infty )$ 
A)  domain: $( - \infty , \infty )$
 range: $( - \infty , 3 ]$ 
B)  domain: $( - \infty , 3 ]$ 
range: $( - \infty , 3 ]$ 
C)  domain: $( - \infty , 3 )$ or $( 3 , \infty )$
 range: $( - \infty , 3 )$ or $( 3 , \infty )$ 
D)  domain: $( - \infty , \infty )$
range: $( - \infty , \infty )$

Question 13

Determine whether the relation is a function.
-{(-6, 1), (-3, -6), (4, -6), (4, -3)}

Accepted Answer

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

Question 14

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 
A) not a function 
B) function

Question 15

Use the given conditions to write an equation for the line in slope-intercept form.
-For a culture of 70,000 bacteria of a certain strain, the number of bacteria $\mathrm { N }$ that will survive $x$ hours is modeled by the formula $N = 7000 \sqrt { 100 - x }$. After how many hours will 63,000 bacteria survive?

Accepted Answer

A)  $81 \mathrm { hr }$ 
B)  $37 \mathrm { hr }$ 
C)  $19 \mathrm { hr }$ 
D)  $91 \mathrm { hr }$ 
A)  $81 \mathrm { hr }$ 
B)  $37 \mathrm { hr }$ 
C)  $19 \mathrm { hr }$ 
D)  $91 \mathrm { hr }$

Question 16

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 17

Evaluate the function at the given value of the independent variable and simplify.
-$$h ( x ) = | x - 15 | ; \quad h ( 20 )$$

Accepted Answer

A)  $- 35$ 
B)  5 
C)  $- 5$ 
D)  35 
A)  $- 35$ 
B)  5 
C)  $- 5$ 
D)  35

Question 18

Identify the intervals where the function is changing as requested.
-Increasing

Accepted Answer

A)  $( - 3,3 )$ 
B)  $( - 2,2 )$ 
C)  $( - 2 , \infty )$ 
D)  $( - 3 , \infty )$ 
A)  $( - 3,3 )$ 
B)  $( - 2,2 )$ 
C)  $( - 2 , \infty )$ 
D)  $( - 3 , \infty )$

Question 19

Determine whether the equation defines y as a function of x.
-x + y = 36

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 20

Find the slope of the line that goes through the given points.
-$\left( \frac { 1 } { 5 } , 3 \right)$ and $\left( \frac { 1 } { 5 } , 0 \right)$

Accepted Answer

A)  $\frac { 15 } { 7 }$ 
B)  $- \frac { 7 } { 15 }$ 
C)  $- \frac { 15 } { 7 }$ 
D)  Undefined 
A)  $\frac { 15 } { 7 }$ 
B)  $- \frac { 7 } { 15 }$ 
C)  $- \frac { 15 } { 7 }$ 
D)  Undefined

Find the slope of the line that goes through the given points. -(6, -1), (2, -1)

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. -

Find and simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$ for the given function. - $f ( x ) = x ^ { 2 } + 8 x - 9$

Evaluate the function at the given value of the independent variable and simplify. - $f ( x ) = \frac { x ^ { 3 } + 3 } { x ^ { 2 } - 5 } ; \quad f ( 5 )$

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. -If f(x)= 15%, what year is represented by x?

Identify the intervals where the function is changing as requested. -Constant

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 relative maximum. What are the relative maxima?

Find the slope of the line that goes through the given points. -(-8, -9), (-8, -3)

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 graph to determine the function's domain and range. -

Determine whether the relation is a function. -{(-6, 1), (-3, -6), (4, -6), (4, -3)}

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 determine whether or not the graph is a graph in which y is a function of x. -

Evaluate the function at the given value of the independent variable and simplify. - $h ( x ) = | x - 15 | ; \quad h ( 20 )$

Identify the intervals where the function is changing as requested. -Increasing

Determine whether the equation defines y as a function of x. -x + y = 36

Find the slope of the line that goes through the given points. - $\left( \frac { 1 } { 5 } , 3 \right)$ and $\left( \frac { 1 } { 5 } , 0 \right)$

Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Filters

Exam 2: Functions and Graphs

Find the slope of the line that goes through the given points. -(6, -1), (2, -1)

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. -

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)=x2+8x−9f ( x ) = x ^ { 2 } + 8 x - 9f(x)=x2+8x−9

Evaluate the function at the given value of the independent variable and simplify. - f(x)=x3+3x2−5;f(5)f ( x ) = \frac { x ^ { 3 } + 3 } { x ^ { 2 } - 5 } ; \quad f ( 5 )f(x)=x2−5x3+3​;f(5)

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. -If f(x)= 15%, what year is represented by x?

Identify the intervals where the function is changing as requested. -Constant

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 relative maximum. What are the relative maxima?

Find the slope of the line that goes through the given points. -(-8, -9), (-8, -3)

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 graph to determine the function's domain and range. -

Determine whether the relation is a function. -{(-6, 1), (-3, -6), (4, -6), (4, -3)}

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 determine whether or not the graph is a graph in which y is a function of x. -

Evaluate the function at the given value of the independent variable and simplify. - h(x)=∣x−15∣;h(20)h ( x ) = | x - 15 | ; \quad h ( 20 )h(x)=∣x−15∣;h(20)

Identify the intervals where the function is changing as requested. -Increasing

Determine whether the equation defines y as a function of x. -x + y = 36

Find the slope of the line that goes through the given points. - (15,3)\left( \frac { 1 } { 5 } , 3 \right)(51​,3) and (15,0)\left( \frac { 1 } { 5 } , 0 \right)(51​,0)

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. - $f ( x ) = x ^ { 2 } + 8 x - 9$

Evaluate the function at the given value of the independent variable and simplify. - $f ( x ) = \frac { x ^ { 3 } + 3 } { x ^ { 2 } - 5 } ; \quad f ( 5 )$

Evaluate the function at the given value of the independent variable and simplify. - $h ( x ) = | x - 15 | ; \quad h ( 20 )$

Find the slope of the line that goes through the given points. - $\left( \frac { 1 } { 5 } , 3 \right)$ and $\left( \frac { 1 } { 5 } , 0 \right)$