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

James Finch

Math - College, section 1, Fall 2010

Instructor: Dr. Friendly

Current Score: 3/32

Due: Friday, September 10, 2010 22:00 EDT

About this Assignment

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Question

Points

1	2	3	4	5	6	7	8	9
1/7	2/5	0/2	0/6	0/1	0/1	0/1	0/7	0/2

Total

3/32

Description

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.

Instructions

This demo assignment allows many submissions and makes the answer key available after the first submission so you can see the correct answers. (Typically, the answer key is posted after the due date!)

1. 1/7 points All Submissions Notes Question: LarPCalcFGGA5 1.1.072.

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1/7

The graph below shows the sales (in billions of dollars) for Goodyear Tire for the years 1995 through 2004, when t = 5 represents 1995.

(a) Use the slopes to determine the years in which the sales for Goodyear Tire showed the greatest increase.
Your answer is correct.

2003-2004

Use the slopes to determine the years in which the sales showed the 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. 2/5 points All Submissions Notes Question: LarPCalcFGGA5 1.2.072.SBS.

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2/5

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.

$<math><mrow><mfrac><mn>1</mn><mn>2</mn></mfrac><mi>s</mi></mrow></math>$ Your answer is incorrect.

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

<math><mrow><msqrt><mn>3</mn></msqrt><mi>s</mi><mo>&div;</mo><mn>2</mn></mrow></math>

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.

$<math><mrow><mfrac><mn>1</mn><mn>4</mn></mfrac><msqrt><mn>3</mn></msqrt><msup><mi>s</mi><mn>2</mn></msup></mrow></math>$ Your answer is correct.

Click here for help with symbolic formatting.

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3. –/2 points Notes Question: LarPCalcFGGA5 1.2.076.

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0/2

4. –/6 points Notes Question: LarPCalcFGGA5 2.1.012.SBS.

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0/6

Graph the quadratic function. Plot the vertex and any intercepts.

f(x) = (x + 1)² + 3

STEP 1:	Find the vertex of the parabola. x = Enter an exact number. 1 y = Enter an exact number. 2
STEP 2:	Find the y-intercept of the parabola. x = Enter an exact number. 3 y = Enter an exact number. 4
STEP 3:	How many x-intercepts are there? 5 0 1 2
STEP 4:	Plot the points and graph the parabola. 6 Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website.

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5. –/1 points Notes Question: LarPCalcFGGA5 2.1.030.

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0/1

Consider the following.

Vertex: (5, 1)
Point: (7, -11)

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 =

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6. –/1 points Notes Question: LarPCalcFGGA5 2.3.102.

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0/1

Consider the following.

x³ - kx² + 2kx - 12

Find the value of k such that x - 3 is a factor of the above.
k =

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7. –/1 points Notes Question: LarPCalcFGGA5 3.1.014.

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0/1

Use the graph of y = 4^x to match the function with its graph.

A	B
C	D

y = 4^{x – 5}
y = 4^x + 3
y = 4^–x
y = 4^x – 5

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8. –/7 points Notes Question: LarPCalcFGGA5 3.1.032.

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0/7

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) = 4^{x – 4} + 5
0	Enter a number. 1
1	Enter a number. 2
2	Enter a number. 3
3	Enter a number. 4
4	Enter a number. 5

Equation of vertical asymptote

Equation of horizontal asymptote

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9. –/2 points Notes Question: LarPCalcFGGA5 6.5.020.

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0/2

Represent the complex number graphically, and find the trigonometric form of the number.

–7 – 7√3i

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

Current Score: 3/32