Question 1

Given   , find   .

Accepted Answer

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

Question 2

The federal minimum wage, in dollars per hour, for the years 1955 to 2005 is given in the table below. Using the data from 1955 and 1975, find a linear model that predicts the federal minimum wage for the year t . Round to nearest hundredth. Year Federal Minimum Wage 1955 0.75 1965 1.25 1975 2.10 1985 3.35 1995 4.25 2005 5.15

Accepted Answer

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

Question 3

Determine whether the following scatter diagram suggests a linear relationship between x and y , a nonlinear relationship between x and y , or no relationship between x and y .

Accepted Answer

A) no relationship between x and y 
B) linear relationship between x and y 
C) nonlinear relationship between x and y 
A) no relationship between x and y 
B) linear relationship between x and y 
C) nonlinear relationship between x and y B

Question 4

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

Accepted Answer

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

Question 5

A rental car company purchases an automobile for $18,800. The automobile requires an average cost of $8.15 per day in maintenance. Find a linear function that expresses the total cost C of owning the automobile after t days.

Accepted Answer

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

Question 6

An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is   . The price per parcel, in dollars, the company charges to send x parcels is   . Determine the price per parcel that yields the maximum profit.

Accepted Answer

A) $6.00 
B) $12.44 
C) $18.25 
D) $10.50 
E) $15.00 
A) $6.00 
B) $12.44 
C) $18.25 
D) $10.50 
E) $15.00

Question 7

The table below gives the wingspan, in centimeters, and the average observed flying speeds, in knots, of various birds. Species Wingspan (cm)Flying Speed (knots)House Martin 28 30 Swallow 31 33 Thrush 45 34 Carrion Crow 49 35 Jackdaw 50 32 Based on these data, what is the flying speed of a Starling whose wingspan is 35 centimeters? Do not round any values in your calculations but round the final answer to the nearest knot.

Accepted Answer

A) 32 
B) 31 
C) 35 
D) 34 
E) 33 
A) 32 
B) 31 
C) 35 
D) 34 
E) 33

Question 8

The amount of federal income tax   an individual owed in 2004 is given by   where x is the adjusted gross income tax of the taxpayer. What is the domain of this function? Write answer in interval notation.

Accepted Answer

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

Question 9

For the piecewise-defined function below, find

Accepted Answer

A)    
B) 9 
C)    
D) 6 
E) 20 
A)    
B) 9 
C)    
D) 6 
E) 20

Question 10

Graph the following equation by plotting points that satisfy the equation.

Accepted Answer

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

Question 11

The sum of the length l and the width w of a rectangular region is 200 meters. Write the area A as a function of l .

Accepted Answer

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

Question 12

Evaluate the following composite function if   and   .

Accepted Answer

A) 49 
B) 54 
C) 48 
D) 47 
E) 46 
A) 49 
B) 54 
C) 48 
D) 47 
E) 46

Question 13

A boat was purchased for $39,000. Assuming the boat depreciates at a rate of $4680 per year ( straight-line depreciation )for the first 7 years, write the value v of the boat as a function of the time t (measured in years)for   .

Accepted Answer

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

Question 14

An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is   . The price per parcel, in dollars, the company charges to send x parcels is   . Determine the profit function.

Accepted Answer

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

Question 15

Find the difference quotient of the function   .

Accepted Answer

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

Question 16

Determine the center and radius of the circle with the following equation.

Accepted Answer

A) center:   ; radius: 15 
B) center:   ; radius: 225 
C) center:   ; radius: 15 
D) center:   ; radius:   
E) center:   ; radius: 1 
A) center:   ; radius: 15 
B) center:   ; radius: 225 
C) center:   ; radius: 15 
D) center:   ; radius:   
E) center:   ; radius: 1

Question 17

Find the maximum or the minimum value of   . State whether this value is a maximum or a minimum.

Accepted Answer

A) -40; minimum 
B) 80; maximum 
C) -20; maximum 
D) -20; minimum 
E) 8; maximum 
A) -40; minimum 
B) 80; maximum 
C) -20; maximum 
D) -20; minimum 
E) 8; maximum

Question 18

Find the equation of the line that has y -intercept   and slope 4. Write the equation in the form   .

Accepted Answer

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

Question 19

Given the function below, find the solution of   .

Accepted Answer

A) -2 
B) 2 
C) -7 
D) -12 
E) 7 
A) -2 
B) 2 
C) -7 
D) -12 
E) 7

Question 20

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)

Given , find .

Determine whether the following scatter diagram suggests a linear relationship between x and y , a nonlinear relationship between x and y , or no relationship between x and y .

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

A rental car company purchases an automobile for $18,800. The automobile requires an average cost of $8.15 per day in maintenance. Find a linear function that expresses the total cost C of owning the automobile after t days.

An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is . The price per parcel, in dollars, the company charges to send x parcels is . Determine the price per parcel that yields the maximum profit.

The amount of federal income tax an individual owed in 2004 is given by where x is the adjusted gross income tax of the taxpayer. What is the domain of this function? Write answer in interval notation.

For the piecewise-defined function below, find

Graph the following equation by plotting points that satisfy the equation.

The sum of the length l and the width w of a rectangular region is 200 meters. Write the area A as a function of l .

Evaluate the following composite function if and .

A boat was purchased for $39,000. Assuming the boat depreciates at a rate of $4680 per year ( straight-line depreciation )for the first 7 years, write the value v of the boat as a function of the time t (measured in years)for .

An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is . The price per parcel, in dollars, the company charges to send x parcels is . Determine the profit function.

Find the difference quotient of the function .

Determine the center and radius of the circle with the following equation.

Find the maximum or the minimum value of . State whether this value is a maximum or a minimum.

Find the equation of the line that has y -intercept and slope 4. Write the equation in the form .

Given the function below, find the solution of .

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

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

Exam 2: Functions and Graphs

Given , find .

Determine whether the following scatter diagram suggests a linear relationship between x and y , a nonlinear relationship between x and y , or no relationship between x and y .

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

A rental car company purchases an automobile for $18,800. The automobile requires an average cost of $8.15 per day in maintenance. Find a linear function that expresses the total cost C of owning the automobile after t days.

An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is . The price per parcel, in dollars, the company charges to send x parcels is . Determine the price per parcel that yields the maximum profit.

The amount of federal income tax an individual owed in 2004 is given by where x is the adjusted gross income tax of the taxpayer. What is the domain of this function? Write answer in interval notation.

For the piecewise-defined function below, find

Graph the following equation by plotting points that satisfy the equation.

The sum of the length l and the width w of a rectangular region is 200 meters. Write the area A as a function of l .

Evaluate the following composite function if and .

A boat was purchased for $39,000. Assuming the boat depreciates at a rate of $4680 per year ( straight-line depreciation )for the first 7 years, write the value v of the boat as a function of the time t (measured in years)for .

An air freight company has determined that the cost, in dollars, of delivering x parcels per flight is . The price per parcel, in dollars, the company charges to send x parcels is . Determine the profit function.

Find the difference quotient of the function .

Determine the center and radius of the circle with the following equation.

Find the maximum or the minimum value of . State whether this value is a maximum or a minimum.

Find the equation of the line that has y -intercept and slope 4. Write the equation in the form .

Given the function below, find the solution of .

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

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