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Larson-Precalculus Limits:A Graphing Approach 6/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 11 / 29

Due : Sunday, January 27, 2030 00:00 EST

Last Saved : n/a Saving...  ()

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Question
Points
1 2 3 4 5 6 7 8
1/2 3/3 0/4 –/8 –/1 –/4 2/2 5/5
Total
11/29 (37.9%)

  • Instructions

    Here are some textbook questions from Precalculus with Limits: A Graphing Approach 6/e by Ron Larson published by Brooks/Cole. Click here for a list of all of the questions coded in WebAssign.

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1. 1/2 points  |  Previous Answers LarPCalcLimAGA6 1.1.068. My Notes
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1/2
 
Consider the following.
Point      Line
(-4, 3)      x + y = 5
(a) Write the slope-intercept form of the equation of the line through the given point and parallel to the given line.
y =
−x−2
Incorrect: Your answer is incorrect.

(b) Write the slope-intercept form of the equation of the line through the given point and perpendicular to the given line.
y =
x+7
Correct: Your answer is correct.
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2. 3/3 points  |  Previous Answers LarPCalcLimAGA6 1.2.034. My Notes
Question Part
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1 2 3
1/1 1/1 1/1
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3/3
 
Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.)
f(x) = 
x + 7
 + 8
(a)    
f(−7) = Correct: Your answer is correct.


(b)    
f(9) = Correct: Your answer is correct.


(c)    
f(x − 7) =
√x+8
Correct: Your answer is correct.
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3. 0/4 points  |  Previous Answers LarPCalcLimAGA6 1.2.071. My Notes
Question Part
Points
Submissions Used
1 2 3 4
0/1 –/1 0/1 –/1
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0/4
 
An open box of maximum volume is to be made from a square piece of material, 24 centimeters on a side, by cutting equal squares from the corners and turning up the sides as shown below.
(a) The table shows the volume V (in cubic centimeters) of the box for various heights x (in centimeters). Use the table to estimate the maximum volume.
Height, x 1 2 3 4 5 6
Volume, V 484 800 972 1024 980 864

Incorrect: Your answer is incorrect. cubic centimeters

(b) Plot the points (x, V) from the table in part (a). Does the relation defined by the ordered pairs represent V as a function of x?
    

(c) If V is a function of x, write the function. (If V is not a function of x, enter NONE.)
V =
22
Incorrect: Your answer is incorrect.
Determine the domain of the function.
    
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4. –/8 points LarPCalcLimAGA6 1.2.074. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6 7 8
–/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1
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–/8
 
A rectangular package to be sent by the U.S. Postal Service can have a maximum combined length and girth (perimeter of a cross section) of 144 inches (see figure).
(a) Write the volume V of the package as a function of x.
V =


What is the domain of the function?
    

(b) Use a graphing utility to graph your function. Be sure to use an appropriate window setting.



(c) What dimensions will maximize the volume of the package? (Enter your values in increasing order.)
× ×

Explain your answer.
From the graph, the volume occurs when x = .
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5. –/1 points LarPCalcLimAGA6 1.3.056. My Notes
Question Part
Points
Submissions Used
1
–/1
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–/1
 
Sketch the graph of the piecewise-defined function.
f(x) = {(x + 9 text(, ) x <= -2, 2x - 3 text(, ) x>-2)
No Solution
Help
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Clear Graph
Delete Layer
Fill

Graph LayersToggle Open/Closed

  • After you add an object to the graph you can use Graph Layers to view and edit its properties.
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6. –/4 points LarPCalcLimAGA6 1.3.078. My Notes
Question Part
Points
Submissions Used
1 2 3 4
–/1 –/1 –/1 –/1
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–/4
 
Consider the following.
(5a, 5c)
(a) Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even.
(x, y) = 
,


(b) Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is odd.
(x, y) = 
,
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7. 2/2 points  |  Previous Answers LarPCalcLimAGA6 1.3.088.MI. My Notes
Question Part
Points
Submissions Used
1 2
1/1 1/1
1/50 1/50
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2/2
 
Graph the function and determine the interval(s) for which f(x) ≥ 0.
f(x) = 8x + 4
No Solution
Help
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Clear Graph
Delete Layer
Fill

Graph LayersToggle Open/Closed

Submission Data

Correct: Your answer is correct.

Interval for which f(x) ≥ 0:
    

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8. 5/5 points  |  Previous Answers LarPCalcLimAGA6 1.6.010. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5
1/1 1/1 1/1 1/1 1/1
1/50 1/50 1/50 1/50 1/50
Total
5/5
 
Find the inverse function of f informally.
f(x) = x – 1
f -1(x) =
x+1
Correct: Your answer is correct.

Verify that f(f -1(x)) = x and f -1(f(x)) = x.
f(f–1(x)) = f(
x+1
Correct: Your answer is correct. )
 = (
x+1
Correct: Your answer is correct. ) − 1
 = x

f–1(f(x)) = f–1(
x−1
Correct: Your answer is correct. )
 = (
x−1
Correct: Your answer is correct. ) + 1
 = x
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