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Gustafson et al - College Algebra 10/e (Homework)

James Finch

Math - College, section 1, Fall 2010

Instructor: Dr. Friendly

Current Score: 13/13

Due: Monday, September 6, 2010 19:00 EDT

Question
Points
1 2 3 4 5 6 7 8 9 10
1 1 1 1 2 1 1 1 2 2
Total
13/13

Description

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In this assignment we present several textbook question types found in Chapter 3 on functions in College Algebra 10/e by R. David Gustafson, Peter D. Frisk, and Jeff Hughes 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. 1/1 points All Submissions Notes Question: GFHColAlg10 3.4.012.
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The graph of the function is a translation of the graph of f(x) = x2. Graph the function.
$ g(x) = (x - {\color{red}10})^2 $

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2. 1/1 points All Submissions Notes Question: GFHColAlg10 3.4.020.
Question part
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1/1
 
The graph of the function is a translation of the graph of f(x) = x3. Graph the function. (Select the correct graph.)
$ g(x) = x^3 - {\color{red}2} $

Your answer is correct.

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3. 1/1 points All Submissions Notes Question: GFHColAlg10 3.4.098.
Question part
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1
1
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1/1
 
Perform the division and write the answer in quotient + remainder/divisor form.
$$ \frac{x^2 + {\color{red}3}}{x + {\color{red}6}} $$
<math><mrow><mi>x</mi><mo>-</mo><mn>6</mn><mo>+</mo><mfrac><mn>39</mn><mrow><mi>x</mi><mo>+</mo><mn>6</mn></mrow></mfrac></mrow></math> Your answer is correct.

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4. 1/1 points All Submissions Notes Question: GFHColAlg10 3.5.018.
Question part
Points
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1
1
1/50
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1/1
 
Suppose the cost (in dollars) of removing p% of the pollution in a river is given by the following function.
c = f(p) = 
51810p
100 − p
     (0 ≤ p < 100)
Find the cost of removing 80% of the pollution. (Round your answer to the nearest cent.)
$
Enter a number.
Your answer is correct.

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5. 2/2 points All Submissions Notes Question: GFHColAlg10 3.5.034.
Question part
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Submissions
1 2
1 1
1/50 1/50
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2/2
 
Find the vertical asymptotes, if any, of the rational function. Do not graph the function. (If an answer does not exist, enter DNE.)
$$ f(x) = \frac{x + {\color{red}7}}{x^2 - {\color{red}11}x - {\color{red}12}} $$
x =
Enter an exact number.
Your answer is correct. (smaller value)
x =
Enter an exact number.
Your answer is correct. (larger value)

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6. 1/1 points All Submissions Notes Question: GFHColAlg10 3.6.026.
Question part
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1
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1/1
 
Let f(x) = x26 and g(x) = 5x5. Find the value, if possible. (If not possible, enter IMPOSSIBLE.)
(f/g)(t) = <math><mrow><mfrac><mrow><msup><mi>t</mi><mn>2</mn></msup><mo>-</mo><mn>6</mn></mrow><mrow><mn>5</mn><mi>t</mi><mo>-</mo><mn>5</mn></mrow></mfrac></mrow></math> Your answer is correct.

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7. 1/1 points All Submissions Notes Question: GFHColAlg10 3.6.068.
Question part
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1
1
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1/1
 
Let f(x) = x3. Find the function g(x) such that h(x) = (x3)3 can be expressed as (f compose g)(x).
g(x) = <math><mrow><mi>x</mi><mo>-</mo><mn>3</mn></mrow></math> Your answer is correct.

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8. 1/1 points All Submissions Notes Question: GFHColAlg10 3.6.084.
Question part
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1
1
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1/1
 
Let g(x) equal the following.
$$ g(x) = \frac{x}{x - {\color{red}15}} $$
Find (g compose g)(x).
(g compose g)(x) = <math><mrow><mfrac><mi>x</mi><mrow><mo>-</mo><mn>14</mn><mi>x</mi><mo>+</mo><mn>225</mn></mrow></mfrac></mrow></math> Your answer is correct.

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9. 2/2 points All Submissions Notes Question: GFHColAlg10 3.7.038.
Question part
Points
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1 2
1 1
1/50 2/50
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2/2
 
Find the inverse of the one-to-one function.
$$ y = \frac{{\color{red}5}}{2}x $$
f -1(x) = <math><mrow><mfrac><mrow><mn>2</mn><mi>x</mi></mrow><mn>5</mn></mfrac></mrow></math> Your answer is correct.

Graph both the function and its inverse on the same set of coordinate axes.

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10. 2/2 points All Submissions Notes Question: GFHColAlg10 3.R.024.
Question part
Points
Submissions
1 2
1 1
1/50 1/50
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2/2
 
Find the vertex of the parabola.
$$ f(x) = -2(x + {\color{red}9})^2  - {\color{red}9} $$
(x, y) = (
Enter an exact number.
Your answer is correct.,
Enter an exact number.
Your answer is correct.)