Question 1

Provide an appropriate response.
-How can the graph of   be obtained from the graph of

Accepted Answer

A)  Shift it horizontally 1 units to the left. Reflect it across the y-axis. 
B)  Shift it horizontally -1 units to the left. Reflect it across the x-axis. 
C)  Shift it horizontally 1 units to the left. Reflect it across the x-axis. 
D)  Shift it horizontally 1 units to the right. Reflect it across the x-axis. 
A)  Shift it horizontally 1 units to the left. Reflect it across the y-axis. 
B)  Shift it horizontally -1 units to the left. Reflect it across the x-axis. 
C)  Shift it horizontally 1 units to the left. Reflect it across the x-axis. 
D)  Shift it horizontally 1 units to the right. Reflect it across the x-axis.

Question 2

Solve graphically to two decimal places using a graphing calculator.
-

Accepted Answer

A)  x  2.57 
B)  -0.96  0.96 
A)  x  2.57 
B)  -0.96  0.96

Question 3

Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in the figure.
-

Accepted Answer

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

Question 4

Find the vertex form for the quadratic function. Then find each of the following:
(A) Intercepts
(B) Vertex
(C) Maximum or minimum
(D) Range
-

Accepted Answer

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

Question 5

Determine whether the relation represents a function. If it is a function, state the domain and range.
-

Accepted Answer

A)  function domain: {Bob, Ann, Dave}
Range: {carrots, peas, squash} 
B)  function domain: {carrots, peas, squash}
Range: {Bob, Ann, Dave} 
C)  not a function 
A)  function domain: {Bob, Ann, Dave}
Range: {carrots, peas, squash} 
B)  function domain: {carrots, peas, squash}
Range: {Bob, Ann, Dave} 
C)  not a function

Question 6

Provide an appropriate response.
-(6, 1) and (6, - 4)

Accepted Answer

A)  - 4 
B)    
C)  0 
D)  Undefined 
A)  - 4 
B)    
C)  0 
D)  Undefined

Question 7

Write in terms of simpler forms.
-

Accepted Answer

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

Question 8

Graph the function.
-

Accepted Answer

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

Question 9

The graph that follows is the graph of a polynomial function. (i) What is the minimum degree of a polynomial function
that could have the graph? (ii) Is the leading coefficient of the polynomial negative or positive?
-

Accepted Answer

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

Question 10

Solve the problem.
-In North America, coyotes are one of the few species with an expanding range. The future population of coyotes in a region of Mississippi valley can be modeled by the equation P = 59 + 12 · ln(18t + 1), where t is time in
Years. Use the equation to determine when the population will reach 170. (Round your answer to the nearest
Tenth year.)

Accepted Answer

A)  586.2 years 
B)  583.1 years 
C)  578.0 years 
D)  581.3 years 
A)  586.2 years 
B)  583.1 years 
C)  578.0 years 
D)  581.3 years

Question 11

Use the properties of logarithms to solve.
-

Accepted Answer

A)  2 
B)  24 
C)  7 
D)  6 
A)  2 
B)  24 
C)  7 
D)  6

Question 12

Write an equation of the line with the indicated slope and y intercept.
-

Accepted Answer

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

Question 13

Provide an appropriate response.
-Graph the linear function defined by   and indicate the slope and intercepts.

Accepted Answer

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

Question 14

Provide an appropriate response.
-Write the equation of a line that passes through (-1, 4) and (5, -1). Write the final answer in the form Ax + By = C where A, B, and C are integers with no common divisors (other than ±1) and A > 0.

Accepted Answer

A)  5x + 6y = -19 
B)  -5x + 6y = 19 
C)  5x - 6y = 19 
D)  5x + 6y = 19 
A)  5x + 6y = -19 
B)  -5x + 6y = 19 
C)  5x - 6y = 19 
D)  5x + 6y = 19

Question 15

Provide an appropriate response.
-The following graph represents the result of applying a sequence of transformations to the graph of a basic
function. Identify the basic function and describe the transformation(s). Write the equation for the given graph.

Accepted Answer

Basic function is @#IMG-DLM& s

Question 16

Solve the problem.
-Since life expectancy has increased in the last century, the number of Alzheimer's patients has increased dramatically. The number of patients in the United States reached 4 million in 2000. Using data collected since
2000, it has been found that the data can be modeled by the exponential function   x, where
X is the years since 2000. Estimate the Alzheimer's patients in 2025. Round to the nearest tenth.

Accepted Answer

A)  7.8 million 
B)  8.0 million 
C)  4.8 million 
D)  3.9 million 
A)  7.8 million 
B)  8.0 million 
C)  4.8 million 
D)  3.9 million

Question 17

Provide an appropriate response.
-(-5, 2) and (0, 2)

Accepted Answer

A)  0 
B)    
C)    
D)  Undefined 
A)  0 
B)    
C)    
D)  Undefined

Question 18

Solve the problem.
-The level of a sound in decibels (db) is determined by the formula N = 10 · log(I × 1012) db, where I is the intensity of the sound in watts per square meter. A certain noise has an intensity of 8.49 × 10-4 watts per square
Meter. What is the sound level of this noise? (Round your answer to the nearest decibel.)

Accepted Answer

A)  89 db 
B)  206 db 
C)  79 db 
D)  9 db 
A)  89 db 
B)  206 db 
C)  79 db 
D)  9 db

Question 19

Solve the problem.
-To estimate the ideal minimum weight of a woman in pounds multiply her height in inches by 4 and subtract 130. Let W = the ideal minimum weight and h = height. W is a linear function of h. Find the ideal minimum
Weight of a woman whose height is 62 inches.

Accepted Answer

A)  120 lb 
B)  378 lb 
C)  118 lb 
D)  130 lb 
A)  120 lb 
B)  378 lb 
C)  118 lb 
D)  130 lb

Question 20

Graph the linear equation and determine its slope, if it exists.
-

Accepted Answer

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

Provide an appropriate response. -How can the graph of be obtained from the graph of

Solve graphically to two decimal places using a graphing calculator. -

Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in the figure. -

Find the vertex form for the quadratic function. Then find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range -

Determine whether the relation represents a function. If it is a function, state the domain and range. -

Provide an appropriate response. -(6, 1) and (6, - 4)

Write in terms of simpler forms. -

Graph the function. -

The graph that follows is the graph of a polynomial function. (i) What is the minimum degree of a polynomial function that could have the graph? (ii) Is the leading coefficient of the polynomial negative or positive? -

Use the properties of logarithms to solve. -

Write an equation of the line with the indicated slope and y intercept. -

Provide an appropriate response. -Graph the linear function defined by and indicate the slope and intercepts.

Provide an appropriate response. -Write the equation of a line that passes through (-1, 4) and (5, -1). Write the final answer in the form Ax + By = C where A, B, and C are integers with no common divisors (other than ±1) and A > 0.

Provide an appropriate response. -The following graph represents the result of applying a sequence of transformations to the graph of a basic function. Identify the basic function and describe the transformation(s). Write the equation for the given graph.

Provide an appropriate response. -(-5, 2) and (0, 2)

Solve the problem. -To estimate the ideal minimum weight of a woman in pounds multiply her height in inches by 4 and subtract 130. Let W = the ideal minimum weight and h = height. W is a linear function of h. Find the ideal minimum Weight of a woman whose height is 62 inches.

Graph the linear equation and determine its slope, if it exists. -

Limits and the Derivative

Additional Derivative Topics

Graphing and Optimization

Integration

Additional Integration Topics

Multivariable Calculus

Trigonometric Functions

Differential Equations

Taylor Polynomials and Infinite Series

Probability and Calculus

Basic Algebra Review

Special Topics

Filters

Exam 1: Functions and Graphs

Provide an appropriate response. -How can the graph of be obtained from the graph of

Solve graphically to two decimal places using a graphing calculator. -

Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in the figure. -

Find the vertex form for the quadratic function. Then find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range -

Determine whether the relation represents a function. If it is a function, state the domain and range. -

Provide an appropriate response. -(6, 1) and (6, - 4)

Write in terms of simpler forms. -

Graph the function. -

The graph that follows is the graph of a polynomial function. (i) What is the minimum degree of a polynomial function that could have the graph? (ii) Is the leading coefficient of the polynomial negative or positive? -

Use the properties of logarithms to solve. -

Write an equation of the line with the indicated slope and y intercept. -

Provide an appropriate response. -Graph the linear function defined by and indicate the slope and intercepts.

Provide an appropriate response. -Write the equation of a line that passes through (-1, 4) and (5, -1). Write the final answer in the form Ax + By = C where A, B, and C are integers with no common divisors (other than ±1) and A > 0.

Provide an appropriate response. -The following graph represents the result of applying a sequence of transformations to the graph of a basic function. Identify the basic function and describe the transformation(s). Write the equation for the given graph.

Provide an appropriate response. -(-5, 2) and (0, 2)

Solve the problem. -To estimate the ideal minimum weight of a woman in pounds multiply her height in inches by 4 and subtract 130. Let W = the ideal minimum weight and h = height. W is a linear function of h. Find the ideal minimum Weight of a woman whose height is 62 inches.

Graph the linear equation and determine its slope, if it exists. -

Limits and the Derivative

Additional Derivative Topics

Graphing and Optimization

Integration

Additional Integration Topics

Multivariable Calculus

Trigonometric Functions

Differential Equations

Taylor Polynomials and Infinite Series

Probability and Calculus

Basic Algebra Review

Special Topics

Filters