Question 1

The graph of a function f is given. Use the graph to answer the question.
-How often does the line y = -100 intersect the graph?

Accepted Answer

A)  once 
B)  twice 
C)  three times 
D)  does not intersect 
A)  once 
B)  twice 
C)  three times 
D)  does not intersect

Question 2

Match the function with the graph that best describes the situation.
-The amount of rainfall as a function of time, if the rain fell more and more softly. A)

Accepted Answer

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

Question 3

If y varies directly as x, find a linear function which relates them.
-$y = 3.6$ when $x = 0.9$

Accepted Answer

A)  $f ( x ) = 4 x$ 
B)  $f ( x ) = 0.25 x$ 
C)  $f ( x ) = x + 2.7$ 
D)  $f ( x ) = 0.9 x$ 
A)  $f ( x ) = 4 x$ 
B)  $f ( x ) = 0.25 x$ 
C)  $f ( x ) = x + 2.7$ 
D)  $f ( x ) = 0.9 x$

Question 4

Graph the function.
-$$f ( x ) = x ^ { 2 }$$
 
 A)

Accepted Answer

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

Question 5

Using transformations, sketch the graph of the requested function.
-The graph of a function f is illustrated. Use the graph of f as the first step toward graphing the function F(x), where F(x) = f(x + 2) - 1.   A)

Accepted Answer

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

Question 6

Choose the one alternative that best completes the statement or answers the question.
Graph the function by starting with the graph of the basic function and then using the techniques of shifting,
compressing, stretching, and/or reflecting.
-$f(x)=\sqrt{x-6}+3$

A)

Accepted Answer

B)

C) 
  
D) 
  
B)

C) 
  
D)

Question 7

Graph the function by starting with the graph of the basic function and then using the techniques of shifting,
compressing, stretching, and/or reflecting.
-$$f ( x ) = \frac { 1 } { 7 x }$$
 
 A)

Accepted Answer

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

Question 8

Answer the question about the given function.
-Given the function $f ( x ) = \frac { x ^ { 2 } + 8 } { x - 4 }$, list the $y$-intercept, if there is one, of the graph of $f$.

Accepted Answer

A)  $( 0,4 )$ 
B)  $( 0 , - 2 )$ 
C)  $( 0 , - 8 )$ 
D)  $( - 2,0 )$ 
A)  $( 0,4 )$ 
B)  $( 0 , - 2 )$ 
C)  $( 0 , - 8 )$ 
D)  $( - 2,0 )$

Question 9

Find the value for the function.
-Find $f ( x + h )$ when $f ( x ) = \frac { 9 x + 8 } { 8 x - 3 }$

Accepted Answer

A)  $\frac { 9 x + 8 h } { 8 x - 3 h }$ 
B)  $\frac { 9 x + 9 h + 8 } { 8 x - 3 }$ 
C)  $\frac { 9 x + 17 h } { 8 x + 5 h }$ 
D)  $\frac { 9 x + 9 h + 8 } { 8 x + 8 h - 3 }$ 
A)  $\frac { 9 x + 8 h } { 8 x - 3 h }$ 
B)  $\frac { 9 x + 9 h + 8 } { 8 x - 3 }$ 
C)  $\frac { 9 x + 17 h } { 8 x + 5 h }$ 
D)  $\frac { 9 x + 9 h + 8 } { 8 x + 8 h - 3 }$

Question 10

Solve the problem.
-While traveling at a constant speed in a car, the centrifugal acceleration passengers feel while the car is turning is inversely proportional to the radius of the turn. If the passengers feel an acceleration of 6 feet per second per
Second when the radius of the turn is 50 feet, find the acceleration the passengers feel when the radius of the
Turn is 100 feet.

Accepted Answer

A)  4 feet per second per second 
B)  5 feet per second per second 
C)  6 feet per second per second 
D)  3 feet per second per second 
A)  4 feet per second per second 
B)  5 feet per second per second 
C)  6 feet per second per second 
D)  3 feet per second per second

Question 11

Solve.
-The amount of gas that a helicopter uses is directly proportional to the number of hours spent flying. The helicopter flies for 2 hours and uses 18 gallons of fuel. Find the number of gallons of fuel that the helicopter uses
To fly for 5 hours.

Accepted Answer

A)  10 gallons 
B)  50 gallons 
C)  54 gallons 
D)  45 gallons 
A)  10 gallons 
B)  50 gallons 
C)  54 gallons 
D)  45 gallons

Question 12

Determine algebraically whether the function is even, odd, or neither.
-$f ( x ) = \frac { x } { x ^ { 2 } + 5 }$

Accepted Answer

A)  even 
B)  odd 
C)  neither 
A)  even 
B)  odd 
C)  neither

Question 13

Determine algebraically whether the function is even, odd, or neither.
-$f ( x ) = \sqrt [ 3 ] { x }$

Accepted Answer

A)  even 
B)  odd 
C)  neither 
A)  even 
B)  odd 
C)  neither

Question 14

Solve the problem.
-When the temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 246 cubic inches of a gas at a pressure of 14 pounds per square inch, find the new
Pressure of the gas if the volume is decreased to 41 cubic inches. A) 78 pounds per square inch

Accepted Answer

B)  84 pounds per square inch 
C)  70 pounds per square inch 
D)  $\frac { 41 } { 14 }$ pounds per square inch 
B)  84 pounds per square inch 
C)  70 pounds per square inch 
D)  $\frac { 41 } { 14 }$ pounds per square inch

Question 15

The graph of a function f is given. Use the graph to answer the question.
-For which of the following values of x does f(x) = -16?

Accepted Answer

A)  0 
B)  12 
C)  -16 
D)  8 
A)  0 
B)  12 
C)  -16 
D)  8

Question 16

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: $$\begin{array} { l l } 
\text { Monthly service charge } & \$ 18.00 \
\text { 1st } 50 \text { hours of use } & \text { free } \
\text { Next } 50 \text { hours of use } & \$ 0.25 / \text { hour } \
\text { Over 100 hours of use } & \$ 1.00 / \text { hour }
\end{array}$$ 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

\[\begin{array} { l

Question 17

Choose the one alternative that best completes the statement or answers the question.
Graph the function by starting with the graph of the basic function and then using the techniques of shifting,
compressing, stretching, and/or reflecting.
-$$f ( x ) = ( x + 6 ) ^ { 3 } + 5$$

A)

Accepted Answer

B)

C) 
  
D) 
  
B)

C) 
  
D)

Question 18

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given
interval.
-$$( - 4 , - 2 )$$

Accepted Answer

A)  constant 
B)  decreasing 
C)  increasing 
A)  constant 
B)  decreasing 
C)  increasing

Question 19

Write the word or phrase that best completes each statement or answers the question.
-A cellular phone plan had the following schedule of charges: 
$$\begin{array} { l l } 
\text {Basic service, including 100 minutes of calls } & \$ 20.00 \text { per month  }   \
\text {  2nd 100  minutes of calls}  &\$ 0.075 \text { per minute  }  \

\text { Additional minutes of calls } & \$ 0.10 / \text { per minute  }
\end{array}$$ What is the charge for 200 minutes of calls in one month?
What is the charge for 250 minutes of calls in one month?
Construct a function that relates the monthly charge C for x minutes of calls.

Accepted Answer

\[\begin{array} { l } 
\$ 27.50 \
\$ 32

Question 20

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 local minimum. What are the local minima?   A) $f$ has a local minimum at $x = - \pi$; the local minimum is $- 1$

Accepted Answer

B)  $f$ has a local minimum at $x = 0$; the local minimum is 1 
C)  $f$ has a local minimum at $x = - \pi$ and $\pi$; the local minimum is $- 1$ 
D)  f has no local minimum 
B)  $f$ has a local minimum at $x = 0$; the local minimum is 1 
C)  $f$ has a local minimum at $x = - \pi$ and $\pi$; the local minimum is $- 1$ 
D)  f has no local minimum

The graph of a function f is given. Use the graph to answer the question. -How often does the line y = -100 intersect the graph?

Match the function with the graph that best describes the situation. -The amount of rainfall as a function of time, if the rain fell more and more softly. A) B) C) D)

If y varies directly as x, find a linear function which relates them. - $y = 3.6$ when $x = 0.9$

Using transformations, sketch the graph of the requested function. -The graph of a function f is illustrated. Use the graph of f as the first step toward graphing the function F(x), where F(x) = f(x + 2) - 1. A) B) C) D)

Answer the question about the given function. -Given the function $f ( x ) = \frac { x ^ { 2 } + 8 } { x - 4 }$ , list the $y$ -intercept, if there is one, of the graph of $f$ .

Find the value for the function. -Find $f ( x + h )$ when $f ( x ) = \frac { 9 x + 8 } { 8 x - 3 }$

Solve. -The amount of gas that a helicopter uses is directly proportional to the number of hours spent flying. The helicopter flies for 2 hours and uses 18 gallons of fuel. Find the number of gallons of fuel that the helicopter uses To fly for 5 hours.

Determine algebraically whether the function is even, odd, or neither. - $f ( x ) = \frac { x } { x ^ { 2 } + 5 }$

Determine algebraically whether the function is even, odd, or neither. - $f ( x ) = \sqrt [ 3 ] { x }$

The graph of a function f is given. Use the graph to answer the question. -For which of the following values of x does f(x) = -16?

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. - $( - 4 , - 2 )$

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometric Functions

Polar Coordinates; Vectors

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

A Preview of Calculus: the Limit, Derivative, and Integral of a Function

Review

Filters

Exam 1: Functions and Their Graphs

The graph of a function f is given. Use the graph to answer the question. -How often does the line y = -100 intersect the graph?

Match the function with the graph that best describes the situation. -The amount of rainfall as a function of time, if the rain fell more and more softly. A) B) C) D)

If y varies directly as x, find a linear function which relates them. - y=3.6y = 3.6y=3.6 when x=0.9x = 0.9x=0.9

Graph the function. - f(x)=x2f ( x ) = x ^ { 2 }f(x)=x2 A) B) C) D)

Using transformations, sketch the graph of the requested function. -The graph of a function f is illustrated. Use the graph of f as the first step toward graphing the function F(x), where F(x) = f(x + 2) - 1. A) B) C) D)

Choose the one alternative that best completes the statement or answers the question. Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f(x)=x−6+3f(x)=\sqrt{x-6}+3f(x)=x−6​+3 A) B) C) D)

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f(x)=17xf ( x ) = \frac { 1 } { 7 x }f(x)=7x1​ A) B) C) D)

Answer the question about the given function. -Given the function f(x)=x2+8x−4f ( x ) = \frac { x ^ { 2 } + 8 } { x - 4 }f(x)=x−4x2+8​ , list the yyy -intercept, if there is one, of the graph of fff .

Find the value for the function. -Find f(x+h)f ( x + h )f(x+h) when f(x)=9x+88x−3f ( x ) = \frac { 9 x + 8 } { 8 x - 3 }f(x)=8x−39x+8​

Solve. -The amount of gas that a helicopter uses is directly proportional to the number of hours spent flying. The helicopter flies for 2 hours and uses 18 gallons of fuel. Find the number of gallons of fuel that the helicopter uses To fly for 5 hours.

Determine algebraically whether the function is even, odd, or neither. - f(x)=xx2+5f ( x ) = \frac { x } { x ^ { 2 } + 5 }f(x)=x2+5x​

Determine algebraically whether the function is even, odd, or neither. - f(x)=x3f ( x ) = \sqrt [ 3 ] { x }f(x)=3x​

The graph of a function f is given. Use the graph to answer the question. -For which of the following values of x does f(x) = -16?

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. - (−4,−2)( - 4 , - 2 )(−4,−2)

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometric Functions

Polar Coordinates; Vectors

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

A Preview of Calculus: the Limit, Derivative, and Integral of a Function

Review

Filters

If y varies directly as x, find a linear function which relates them. - $y = 3.6$ when $x = 0.9$

Answer the question about the given function. -Given the function $f ( x ) = \frac { x ^ { 2 } + 8 } { x - 4 }$ , list the $y$ -intercept, if there is one, of the graph of $f$ .

Find the value for the function. -Find $f ( x + h )$ when $f ( x ) = \frac { 9 x + 8 } { 8 x - 3 }$

Determine algebraically whether the function is even, odd, or neither. - $f ( x ) = \frac { x } { x ^ { 2 } + 5 }$

Determine algebraically whether the function is even, odd, or neither. - $f ( x ) = \sqrt [ 3 ] { x }$

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. - $( - 4 , - 2 )$