Question 1

Sketch a graph of a single function that has these properties.
-Find

Accepted Answer

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

Question 2

Provide an appropriate response.
-

Accepted Answer

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

Question 3

Provide an appropriate response.
-Determine the interval(s) where   is decreasing.

Accepted Answer

A)  (0, 6) 
B)  (0, 3) and (3, 6) 
C)    
D)  (0, 3) and (6, ∞) 
A)  (0, 6) 
B)  (0, 3) and (3, 6) 
C)    
D)  (0, 3) and (6, ∞)

Question 4

Graph the function and locate intervals on which the function is increasing or decreasing, open intervals on which the
function is concave up or concave down, and all inflection points.
-

Accepted Answer

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

Question 5

Provide an appropriate response.
-Find the absolute maximum and absolute minimum values of the function   on the interval [0, 3].

Accepted Answer

A)    
B)    
C)  Absolute maximum: f(0) =0; absolute minimum: f(2) = -8 
D)  This function has no absolute maximum or minimum on the given interval. 
A)    
B)    
C)  Absolute maximum: f(0) =0; absolute minimum: f(2) = -8 
D)  This function has no absolute maximum or minimum on the given interval.

Question 6

Provide an appropriate response.
-Use the first derivative test to determine the local extrema, if any, for the function:

Accepted Answer

A)  local min at x = 0 and local max at x = -1 and x = 1 
B)  local max at x = 0 and local min at x = -1 and x = 1 
C)  local max at x = 1 and local min at x = 0 
D)  local max at x = -1 and local min at x = 0 and x = 1 
A)  local min at x = 0 and local max at x = -1 and x = 1 
B)  local max at x = 0 and local min at x = -1 and x = 1 
C)  local max at x = 1 and local min at x = 0 
D)  local max at x = -1 and local min at x = 0 and x = 1

Question 7

Sketch a graph of a single function that has these properties.
-Determine the interval(s) over which   is concave upward.

Accepted Answer

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

Question 8

Provide an appropriate response.
-Find the critical values and determine the intervals where f(x) is increasing and the intervals where f(x) is decreasing for the function

Accepted Answer

A)    decreasing on (-4, 2) 
B)    decreasing on (   
C)    decreasing on (-4, 2) 
D)    increasing on (-4, 2) 
A)    decreasing on (-4, 2) 
B)    decreasing on (   
C)    decreasing on (-4, 2) 
D)    increasing on (-4, 2)

Question 9

Provide an appropriate response.
-Find the critical values and determine the intervals where f(x) is decreasing and the intervals where f(x) is increasing for

Accepted Answer

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

Question 10

Provide an appropriate response.
-Suppose f is a continuous function. Describe the graph of f at (1, f(1)) if f'(1) = 0 and

Accepted Answer

The graph

Question 11

Sketch a graph of the function.
-

Accepted Answer

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

Question 12

Solve the problem.
-The financial analysis department of a software design company determined that the cost of producing x palm
assistants is   The department also determined the associated price-demand equation to be   where p is price in dollars.
a) Obtain the profit function.
b) Determine the maximum profit.

Accepted Answer

The answer of Solve the problem.
-The financial analysis department of...

Question 13

Provide an appropriate response.
-Find the absolute maximum value of   Round your answer to three decimal places.

Accepted Answer

A)  4.689 at x = 4 
B)  4.689 at x = 0 
C)  0.7439 at x = 4 
D)  4 at x = 4.689 
A)  4.689 at x = 4 
B)  4.689 at x = 0 
C)  0.7439 at x = 4 
D)  4 at x = 4.689

Question 14

Solve the problem.
-With x representing the water temperature in degrees Celsius,   approximation to the number of salmon swimming upstream to spawn. Find the temperature that produces the maximum number of salmon.

Accepted Answer

A)  6°C 
B)  20°C 
C)  19°C 
D)  5°C 
A)  6°C 
B)  20°C 
C)  19°C 
D)  5°C

Question 15

Sketch a graph of a single function that has these properties.
-Find the inflection point(s) for

Accepted Answer

A)  (-3, 2) 
B)  (-6, 1) 
C)  (-7, 0) 
D)  There are no points of inflection. 
A)  (-3, 2) 
B)  (-6, 1) 
C)  (-7, 0) 
D)  There are no points of inflection.

Question 16

Provide an appropriate response.
-Find the absolute maximum and minimum values of   on the interval [

Accepted Answer

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

Question 17

Solve the problem.
-A bookstore has an annual demand for 63,000 copies of a best-selling book. It costs $0.40 to store one copy for one year, and it costs $125 to place an order. Find the optimum number of copies per order.

Accepted Answer

A)  5,648 copies 
B)  6,275 copies 
C)  9,922 copies 
D)  8,099 copies 
A)  5,648 copies 
B)  6,275 copies 
C)  9,922 copies 
D)  8,099 copies

Question 18

Sketch a graph of a single function that has these properties.
-Find

Accepted Answer

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

Question 19

Solve the problem.
-A carpenter is building a rectangular room with a fixed perimeter of 180 ft. What are the dimensions of the largest room that can be built? What is its area?

Accepted Answer

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

Question 20

Sketch a graph of the function.
-

Accepted Answer

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

Sketch a graph of a single function that has these properties. -Find

Provide an appropriate response. -

Provide an appropriate response. -Determine the interval(s) where is decreasing.

Graph the function and locate intervals on which the function is increasing or decreasing, open intervals on which the function is concave up or concave down, and all inflection points. -

Provide an appropriate response. -Find the absolute maximum and absolute minimum values of the function on the interval [0, 3].

Provide an appropriate response. -Use the first derivative test to determine the local extrema, if any, for the function:

Sketch a graph of a single function that has these properties. -Determine the interval(s) over which is concave upward.

Provide an appropriate response. -Find the critical values and determine the intervals where f(x) is increasing and the intervals where f(x) is decreasing for the function

Provide an appropriate response. -Find the critical values and determine the intervals where f(x) is decreasing and the intervals where f(x) is increasing for

Provide an appropriate response. -Suppose f is a continuous function. Describe the graph of f at (1, f(1)) if f'(1) = 0 and

Sketch a graph of the function. -

Provide an appropriate response. -Find the absolute maximum value of Round your answer to three decimal places.

Solve the problem. -With x representing the water temperature in degrees Celsius, approximation to the number of salmon swimming upstream to spawn. Find the temperature that produces the maximum number of salmon.

Sketch a graph of a single function that has these properties. -Find the inflection point(s) for

Provide an appropriate response. -Find the absolute maximum and minimum values of on the interval [

Solve the problem. -A bookstore has an annual demand for 63,000 copies of a best-selling book. It costs $0.40 to store one copy for one year, and it costs $125 to place an order. Find the optimum number of copies per order.

Sketch a graph of a single function that has these properties. -Find

Solve the problem. -A carpenter is building a rectangular room with a fixed perimeter of 180 ft. What are the dimensions of the largest room that can be built? What is its area?

Sketch a graph of the function. -

Functions and Graphs

Limits and the Derivative

Additional Derivative Topics

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 4: Graphing and Optimization

Sketch a graph of a single function that has these properties. -Find

Provide an appropriate response. -

Provide an appropriate response. -Determine the interval(s) where is decreasing.

Graph the function and locate intervals on which the function is increasing or decreasing, open intervals on which the function is concave up or concave down, and all inflection points. -

Provide an appropriate response. -Find the absolute maximum and absolute minimum values of the function on the interval [0, 3].

Provide an appropriate response. -Use the first derivative test to determine the local extrema, if any, for the function:

Sketch a graph of a single function that has these properties. -Determine the interval(s) over which is concave upward.

Provide an appropriate response. -Find the critical values and determine the intervals where f(x) is increasing and the intervals where f(x) is decreasing for the function

Provide an appropriate response. -Find the critical values and determine the intervals where f(x) is decreasing and the intervals where f(x) is increasing for

Provide an appropriate response. -Suppose f is a continuous function. Describe the graph of f at (1, f(1)) if f'(1) = 0 and

Sketch a graph of the function. -

Provide an appropriate response. -Find the absolute maximum value of Round your answer to three decimal places.

Solve the problem. -With x representing the water temperature in degrees Celsius, approximation to the number of salmon swimming upstream to spawn. Find the temperature that produces the maximum number of salmon.

Sketch a graph of a single function that has these properties. -Find the inflection point(s) for

Provide an appropriate response. -Find the absolute maximum and minimum values of on the interval [

Solve the problem. -A bookstore has an annual demand for 63,000 copies of a best-selling book. It costs $0.40 to store one copy for one year, and it costs $125 to place an order. Find the optimum number of copies per order.

Sketch a graph of a single function that has these properties. -Find

Solve the problem. -A carpenter is building a rectangular room with a fixed perimeter of 180 ft. What are the dimensions of the largest room that can be built? What is its area?

Sketch a graph of the function. -

Functions and Graphs

Limits and the Derivative

Additional Derivative Topics

Integration

Additional Integration Topics

Multivariable Calculus

Trigonometric Functions

Differential Equations

Taylor Polynomials and Infinite Series

Probability and Calculus

Basic Algebra Review

Special Topics

Filters