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Stewart et al - College Algebra 5/e (Homework)

James Finch

Math - College, section 1, Fall 2010

Instructor: Dr. Friendly

Current Score: 2/36

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

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Question
Points
1 2 3 4 5 6 7 8 9
0/3 1/6 0/2 0/1 0/18 0/2 0/1 0/2 1
Total
2/36

Description

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In this assignment we present several textbook question types found in Chapter 3 on Functions in College Algebra 5/e by James Stewart, Lothar Redlin, and Saleem Watson published by Brooks/Cole.


Instructions

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



1. –/3 points Notes Question: SColAlg5 3.1.035.
Question part
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0/3
 
Find f(a), f(a + h), and the difference quotient for the function given below, where h 0.
f(x) = -6 x + 6
f (a) =
f (a + h) =
(f(a+h)-f(a))/h =

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2. 1/6 points All Submissions Notes Question: SColAlg5 3.2.012.
Question part
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1 2 3 4 5 6
0/1 0/1 0/1 0/1 0/1 1
0/50 0/50 0/50 0/50 0/50 1/50
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1/6
 
Sketch the graph of the function by first making a table of values.
f(x) = x2 - 3
xf(x)
-2
Enter an exact number.
-1
Enter an exact number.
0
Enter an exact number.
1
Enter an exact number.
2
Enter an exact number.

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3. 0/2 points All Submissions Notes Question: SColAlg5 3.3.019.
Question part
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1 2
0/1 0/1
1/50 1/50
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0/2
 
The graph of a function is given.
Maple Generated Plot
(a) Determine the interval(s) on which the function is increasing. (Select all that apply.)

Your answer is incorrect.




(b) Determine the interval(s) on which the function is decreasing. (Select all that apply.)

Your answer is incorrect.



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4. –/1 points Notes Question: SColAlg5 3.4.006.
Question part
Points
Submissions
1
0/1
0/50
Total
0/1
 
The graph of a function is given. Determine the average rate of change of the function between the indicated points on the graph.
Enter an exact number as an integer, fraction, or decimal.

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5. –/18 points Notes Question: SColAlg5 3.5.005.
Question part
Points
Submissions
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 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 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50 0/50
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0/18
 
Explain how the graph of g is obtained from the graph of f. If a graph is not supposed to be stretched or shifted in some direction, enter "0" in the corresponding box on the right.
(a) f(x) = x2; g(x) = (x + 6)2
by a factor of
Enter an exact number.
by a factor of
Enter an exact number.
Enter an exact number.
 units
Enter a number.
 units

(b) f(x) = x2; g(x) = x2 + 6
by a factor of
Enter an exact number.
by a factor of
Enter an exact number.
Enter a number.
 units
Enter an exact number.
 units

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6. –/2 points Notes Question: SColAlg5 3.6.023.
Question part
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0/2
 
Use f(x) = 4x - 7 and g(x) = 4 - x2 to evaluate the expression.
(a) (f compose g)(-2)
Enter an exact number.


(b) (g compose f)(-2)
Enter an exact number.

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7. –/1 points Notes Question: SColAlg5 3.6.046.
Question part
Points
Submissions
1
0/1
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0/1
 
Find f compose g compose h.
f(x) = 1/(4 x), text( ) g(x) = -7 x^3, text( ) h(x) = 6 x^2 + 1

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8. –/2 points Notes Question: SColAlg5 3.7.021.
Question part
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1 2
0/1 0/1
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0/2
 
Assume f is a one-to-one function.
(a) If f(10) = -5, find f -1(-5).
Enter a number.

(b) If f -1(4) = -5, find f(-5).
Enter a number.

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9. 1/1 points All Submissions Notes Question: SColAlg5 3.7.038.
Question part
Points
Submissions
1
1
1/50
Total
1/1
 
Find the inverse function of f.
f(x) = 8 + 6x
f -1 (x) = <math><mrow><mfrac><mrow><mi>x</mi><mo>-</mo><mn>8</mn></mrow><mn>6</mn></mfrac></mrow></math> Your answer is correct.

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