Question 1

Use the graph of n, shown below, to sketch the graph of the function below. n

Accepted Answer

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

Question 2

If   and   , find   and state the domain.

Accepted Answer

A)    ;   
B)    ;   
C)    ;   
D)    ; all real numbers 
E)    ;   
A)    ;   
B)    ;   
C)    ;   
D)    ; all real numbers 
E)    ;

Question 3

Use the graph of   , shown below, to sketch the graph of the function below.

Accepted Answer

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

Question 4

Use the method of completing the square to find the standard form of the quadratic function below. State the vertex and axis of symmetry of the graph of the function.

Accepted Answer

A)    , vertex   , axis of symmetry   
B)    , vertex   , axis of symmetry   
C)    , vertex   , axis of symmetry   
D)    , vertex   , axis of symmetry   
E)    , vertex   , axis of symmetry   
A)    , vertex   , axis of symmetry   
B)    , vertex   , axis of symmetry   
C)    , vertex   , axis of symmetry   
D)    , vertex   , axis of symmetry   
E)    , vertex   , axis of symmetry

Question 5

Given   , find   .

Accepted Answer

A) -5 
B) 1 
C)    
D) -7 
E)    
A) -5 
B) 1 
C)    
D) -7 
E)

Question 6

The sum of the length l and the width w of a rectangular region is 250 meters. Find the dimensions that produce the greatest area.

Accepted Answer

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

Question 7

Evaluate   where   and   .

Accepted Answer

A) 131 
B) 59 
C) 96 
D) 61 
E) 31 
A) 131 
B) 59 
C) 96 
D) 61 
E) 31

Question 8

Find the difference quotient of the function   .

Accepted Answer

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

Question 9

Evaluate   where   and   .

Accepted Answer

A) -12 
B) 12 
C) 4 
D) 0 
E) -61 
A) -12 
B) 12 
C) 4 
D) 0 
E) -61

Question 10

Use the graph of g, shown below, to sketch the graph of the function below. g

Accepted Answer

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

Question 11

A water tank has the shape of a right circular cone with height 18 feet and radius 14 feet. Water is running into the tank so that the radius r (in feet)of the surface of the water is given by   where t is the time (in minutes)that the water has been running. The volume V of the water is given by   Find   and use it to determine the volume of the water when   minutes. Round to the nearest tenth.

Accepted Answer

A) 150.8 cubic feet 
B) 193.9 cubic feet 
C) 938.3 cubic feet 
D) 2326.6 cubic feet 
E) 1407.4 cubic feet 
A) 150.8 cubic feet 
B) 193.9 cubic feet 
C) 938.3 cubic feet 
D) 2326.6 cubic feet 
E) 1407.4 cubic feet

Question 12

Determine whether the graph of   is symmetric with respect to the origin.

Accepted Answer

A) True 
 B)False

Question 13

An open box is to be made from a square piece of cardboard having dimensions 20 inches by 20 inches by cutting out squares of area   from each corner as shown in the figure below. Express the volume V of the box as a function of x .

Accepted Answer

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

Question 14

Find the slope of the line that passes through the points   .

Accepted Answer

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

Question 15

The table below shows the velocities, in feet per second, of a ball that is thrown horizontally from the top of a 50 foot building and the distances, in feet, that it lands from the base of the building. Compute the linear regression equation for these data, rounding to 5 decimal places, and then using this model, find the expected distance a ball will travel when the velocity is 53 feet per second. Round your final answer to the nearest foot.

Accepted Answer

A) 166 
B) 169 
C) 170 
D) 164 
E) 167 
A) 166 
B) 169 
C) 170 
D) 164 
E) 167

Question 16

The height in feet of a projectile with an initial velocity of 128 feet per second and an initial height of 60 feet is a function of time t , in seconds, given by   . Find the maximum height of the projectile.

Accepted Answer

A) 165 ft 
B) 414 ft 
C) 316 ft 
D) 508 ft 
E) 413 ft 
A) 165 ft 
B) 414 ft 
C) 316 ft 
D) 508 ft 
E) 413 ft

Question 17

Graph y as a function of x by finding the slope and y-intercept of the line below.

Accepted Answer

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

Question 18

Determine the domain of the following function.

Accepted Answer

A)    
B)    
C)    
D)    
E) all real numbers 
A)    
B)    
C)    
D)    
E) all real numbers

Question 19

Plot the points below whose coordinates are given on a Cartesian coordinate system.

Accepted Answer

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

Question 20

A rock attached to a string is whirled horizontally about the origin in a counterclockwise circular path with radius 5 feet. When the string breaks, the rock travels on a linear path perpendicular to the radius OP and hits the wall which is   feet away. If the string breaks when the rock is at   , find the x -coordinate of the point at which the rock hits the wall.

Accepted Answer

A) -6 
B) -4 
C) -7 
D) -5 
E) -8 
A) -6 
B) -4 
C) -7 
D) -5 
E) -8

Use the graph of n, shown below, to sketch the graph of the function below. n

If and , find and state the domain.

Use the graph of , shown below, to sketch the graph of the function below.

Use the method of completing the square to find the standard form of the quadratic function below. State the vertex and axis of symmetry of the graph of the function.

Given , find .

The sum of the length l and the width w of a rectangular region is 250 meters. Find the dimensions that produce the greatest area.

Evaluate where and .

Find the difference quotient of the function .

Evaluate where and .

Use the graph of g, shown below, to sketch the graph of the function below. g

Determine whether the graph of is symmetric with respect to the origin.

An open box is to be made from a square piece of cardboard having dimensions 20 inches by 20 inches by cutting out squares of area from each corner as shown in the figure below. Express the volume V of the box as a function of x .

Find the slope of the line that passes through the points .

The height in feet of a projectile with an initial velocity of 128 feet per second and an initial height of 60 feet is a function of time t , in seconds, given by . Find the maximum height of the projectile.

Graph y as a function of x by finding the slope and y-intercept of the line below.

Determine the domain of the following function.

Plot the points below whose coordinates are given on a Cartesian coordinate system.

Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Trigonometric Identities and Equations

Applications of Trigonometry

Topics in Analytic Geometry

Systems of Equations and Inequalities

Matrices

Sequences, Series, and Probability

Preliminary Concepts

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Exam 2: Functions and Graphs

Use the graph of n, shown below, to sketch the graph of the function below. n

If and , find and state the domain.

Use the graph of , shown below, to sketch the graph of the function below.

Use the method of completing the square to find the standard form of the quadratic function below. State the vertex and axis of symmetry of the graph of the function.

Given , find .

The sum of the length l and the width w of a rectangular region is 250 meters. Find the dimensions that produce the greatest area.

Evaluate where and .

Find the difference quotient of the function .

Evaluate where and .

Use the graph of g, shown below, to sketch the graph of the function below. g

Determine whether the graph of is symmetric with respect to the origin.

An open box is to be made from a square piece of cardboard having dimensions 20 inches by 20 inches by cutting out squares of area from each corner as shown in the figure below. Express the volume V of the box as a function of x .

Find the slope of the line that passes through the points .

The height in feet of a projectile with an initial velocity of 128 feet per second and an initial height of 60 feet is a function of time t , in seconds, given by . Find the maximum height of the projectile.

Graph y as a function of x by finding the slope and y-intercept of the line below.

Determine the domain of the following function.

Plot the points below whose coordinates are given on a Cartesian coordinate system.

Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Trigonometric Identities and Equations

Applications of Trigonometry

Topics in Analytic Geometry

Systems of Equations and Inequalities

Matrices

Sequences, Series, and Probability

Preliminary Concepts

Filters