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Larson et al-Precalculus Functions and Graphs 5/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 5 / 50

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 9 10
2/7 –/5 2/2 –/6 1/1 –/1 –/1 –/7 –/18 –/2
Total
5/50 (10.0%)

  • Instructions

    Here are some textbook questions from Precalculus Functions and Graphs: A Graphing Approach 5/e by Ron Larson, Robert P. Hostetler, and Bruce H. Edwards published by Brooks/Cole. Click here for a list of all of the questions coded in WebAssign. This demo assignment allows many submissions and allows you to try another version of the same question for practice wherever the problem has randomized values.

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1. 2/7 points  |  Previous Answers LarPCalcFGGA5 1.1.072. My Notes
Question Part
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1/1 1/1 –/1 –/1 –/1 –/1 –/1
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The graph below shows the sales (in billions of dollars) for Goodyear Tire for the years 1995 through 2004, when t = 5 represents 1995. (Source: Goodyear Tire)
(a) Use the slopes to determine the years in which the sales for Goodyear Tire showed the greatest increase and smallest increase.
Correct: Your answer is correct. (greatest increase)
Correct: Your answer is correct. (smallest increase)

(b) Find the equation of the line between the years 1995 and 2004.
y =



(c) Interpret the meaning of the slope of the equation from part (b) in the context of the problem. Complete the statement below.
Between 1995 and , the sales (in billions of dollars) at a rate of per year.

(d) Use the equation from part (b) to estimate the sales for Goodyear Tire in the year 2008.
billion dollars

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2. –/5 points LarPCalcFGGA5 1.2.072.SBS. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5
–/1 –/1 –/1 –/1 –/1
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–/5
 
Write the area A of an equilateral triangle as a function of the length s of its sides.

STEP 1: Find the base of the equilateral triangle in terms of s.
b =

STEP 2: The height of an equilateral triangle can be found via the Pythagorean theorem. Use this information to find h in terms of s.
h = √ 2 – 2 =

STEP 3: Recall the formula for the area of a triangle: A = bh/2. Use your results from Step 1 and Step 2 to write A in terms of s.
A =

Click here for help with symbolic formatting.

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3. 2/2 points  |  Previous Answers LarPCalcFGGA5 1.2.076. My Notes
Question Part
Points
Submissions Used
1 2
1/1 1/1
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2/2
 
A rectangle is bounded by the x-axis and the semicircle below.
y = √36 – x2
This is shown in the figure below.
Write the area A of the rectangle as a function of x. (Do not use the absolute value function in your response.)
A =
2x√36 − x2
Correct: Your answer is correct.


Determine the domain of the area function.
     Correct: Your answer is correct.

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4. –/6 points LarPCalcFGGA5 2.1.012.SBS. My Notes
Question Part
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–/6
 
Graph the quadratic function. Plot the vertex and any intercepts.
f(x) = (x + 3)2 + 2
STEP 1: Find the vertex of the parabola.
x =
y =

STEP 2: Find the y-intercept of the parabola.
x =
y =

STEP 3: How many x-intercepts are there?
    


STEP 4: Plot the points and graph the parabola.
No Solution
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Clear Graph
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  • After you add an object to the graph you can use Graph Layers to view and edit its properties.

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5. 1/1 points  |  Previous Answers LarPCalcFGGA5 2.1.030. My Notes
Question Part
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1/1
 
Consider the following.
Vertex: (3, 1)
Point: (5, -7)
Write the standard form of the quadratic function that has the indicated vertex and whose graph passes through the given point. Verify your result with a graphing utility.
y =
−2(x−3)2+1
Correct: Your answer is correct.

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6. –/1 points LarPCalcFGGA5 2.3.102. My Notes
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1
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–/1
 
Consider the following.
x3 − kx2 + 2kx − 15
Find the value of k such that x − 3 is a factor of the above.
k =

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7. –/1 points LarPCalcFGGA5 3.1.014. My Notes
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–/1
 
Use the graph of y = 4x to match the function with its graph.
Maple Generated Plot
A 		Maple Generated Plot
B
Maple Generated Plot
C 		Maple Generated Plot
D
y = 4x – 5
y = 4–x
y = 4x – 2
y = 4x + 4


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8. –/7 points LarPCalcFGGA5 3.1.032. My Notes
Question Part
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–/7
 
Use a graphing calculator to construct a table of values for the function. Then sketch the graph of the function. (Do this on paper. Your instructor may ask you to turn in this work.) Identify any asymptotes of the graph. (Enter NONE in any unused answer blanks.)
x f(x) = 2x – 2 + 3
-1
0
1
2
3

Equation of vertical asymptote


Equation of horizontal asymptote

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9. –/18 points LarPCalcFGGA5 4.3.022.MI.SA. My Notes
Question Part
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Submissions Used
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–/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1
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–/18
 
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.

Tutorial Exercise
Construct an appropriate triangle to complete the table. (0 ≤ θ ≤ 90°, 0 ≤ θ ≤ π/2)
     Function           Function Value     
csc
2
3
3

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10. –/2 points LarPCalcFGGA5 6.5.020. My Notes
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Represent the complex number graphically, and find the trigonometric form of the number.
–7 – 7√3i
No Solution
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1.73
3.46
5.19
6.92
8.65
10.38
12.1
13.8
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