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Stewart et al - Algebra and Trigonometry 2/e (Homework)

James Finch

Math - College, section 1, Fall 2010

Instructor: Dr. Friendly

Current Score: 2/19

Due: Wednesday, October 6, 2010 21:00 EDT

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Question
Points
1 2 3 4 5 6 7 8
2/3 0/1 0/2 0/7 0/1 0/2 0/1 0/2
Total
2/19

Description

Here are some textbook questions from Algebra and Trigonometry 2/e by James Stewart, Lothar Redlin, and Saleem Watson published by Brooks/Cole Publishing. Click here for a list of all of the questions coded in WebAssign.


Instructions

This demo assignment allows many submissions and allows you to try another version of the same question for practice.



1. 2/3 points All Submissions Notes Question: SAlgTrig2 3.1.030.
Question part
Points
Submissions
1 2 3
1 1 0/1
1/50 1/50 1/50
Total
2/3
 
Find f (a), f (a + h), and the difference quotient for the function given below, where h 0.
f (x) = 4x2 + 2

f (a) = <math><mrow><mn>4</mn><msup><mi>a</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn></mrow></math> Your answer is correct.
f (a + h) = <math><mrow><mn>4</mn><msup><mfenced close=')' open='('><mi>a</mi><mo>+</mo><mi>h</mi></mfenced><mn>2</mn></msup><mo>+</mo><mn>2</mn></mrow></math> Your answer is correct.
(f(a+h)-f(a))/h = <math><mrow><mfrac><mrow><mn>2</mn><mi>a</mi><mo>+</mo><mi>h</mi></mrow><mi>h</mi></mfrac></mrow></math> Your answer is incorrect.

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2. –/1 points Notes Question: SAlgTrig2 3.2.066.
Question part
Points
Submissions
1
0/1
0/50
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0/1
 
Determine whether the equation defines y as a function of x. If it does, state y as a function of x. If it does not, enter NONE.
5x2 + y = 14
y =

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3. –/2 points Notes Question: SAlgTrig2 3.4.024.
Question part
Points
Submissions
1 2
0/1 0/1
0/50 0/50
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0/2
 
Explain how the graph of g is obtained from the graph of f. (For each, select all that apply.)
(a) f (x) = x3, g(x) = (x - 7)3



(b) f (x) = x3, g(x) = x3 - 2



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4. –/7 points Notes Question: SAlgTrig2 3.5.018.
Question part
Points
Submissions
1 2 3 4 5 6 7
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/50 0/50 0/50 0/50 0/50 0/50 0/50
Total
0/7
 
A quadratic function of f is given.
f (x) = 3x2 + 6x - 9

(a) Express this function in standard form.
f (x) =

(b) Find its vertex and its x- and y-intercept(s). If there is only one x-intercept, enter NONE in the second box; if there are no x-intercepts, enter NONE in both boxes.
(
Enter an exact number.
,
Enter an exact number.
) (vertex)
y = (y-intercept)
x = (leftmost x-intercept)
x = (rightmost x-intercept)


(c) Sketch its graph.

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5. –/1 points Notes Question: SAlgTrig2 3.6.042.
Question part
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Submissions
1
0/1
0/50
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0/1
 
Find the function f compose g compose h.
f (x) = 7/ x
g(x) = x3
h(x) = x2 + 6
(f compose g compose h)(x) =

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6. –/2 points Notes Question: SAlgTrig2 3.7.018.
Question part
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Submissions
1 2
0/1 0/1
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0/2
 
Assume f is a one-to-one function.
(a) If f (2) = 8, find f -1(8).
Enter an exact number.

(b) If f -1(30) = 15, find f (15).
Enter an exact number.

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7. –/1 points Notes Question: SAlgTrig2 3.7.038.
Question part
Points
Submissions
1
0/1
0/50
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0/1
 
Find the inverse function of f.
f(x) = (x-6)/(x+6)
f -1 (x) =

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8. –/2 points Notes Question: SAlgTrig2 3.FOM.024.
Question part
Points
Submissions
1 2
0/1 0/1
0/50 0/50
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0/2
 
A rancher with 900 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle (see the figure).
(a) Find a function that models the total area of the four pens. (Use w to represent the width of the field, and write the function A in terms of w.)
A(w) =

(b) Find the largest possible total area of the four pens.
Enter an exact number.
 square feet

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