Gustafson and Frisk - College Algebra 9/e (Homework)

James Finch

Math - College, section 1, Fall 2010

Instructor: Dr. Friendly

Current Score: 8/42

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

About this Assignment

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Question

Points

1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
1	1	3	0/1	1	0/1	1	0/2	0/1	0/1	0/4	0/1	1	0/1	0/1	0/13	0/2	0/2	0/3	0/1

Total

8/42

Description

Create your course assignments by selecting questions from our bank of 1500 end-of-section exercises, as well as enhanced interactive examples with videos.

While doing their homework, students can link to the relevant interactive examples from the book and work through them again and again for additional practice before answering the question.

Students can view and hear additional instruction through the 2-5 minute Watch It links. Students will also find helpful links to online excerpts from their textbook, online-live help, tutorials, and videos.

Read It - relevant textbook pages

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In this assignment we present several textbook question types found in Chapter 3 on functions in College Algebra 9/e by R. David Gustafson and Peter D. Frisk 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: GFColAlg9 4.3.016.

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Vocabulary and Concepts In the expression ln(x), the base is understood to be Your answer is correct.

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2. 1/1 points All Submissions Notes Question: GFColAlg9 4.3.006.

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Vocabulary and Concepts The inverse of an exponential function is called a Your answer is correct.

function.

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3. 3/3 points All Submissions Notes Question: GFColAlg9 4.3.022.

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3/3

Practice Write the equation in exponential form by filling in the answer blanks below.

^{Answer is not case sensitive.

2} = Your answer is correct.

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4. –/1 points Notes Question: GFColAlg9 4.3.092.

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Practice Use a calculator to find y to four decimal places. (If the value is undefined, then enter UNDEFINED.)

ln y = log 6

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5. 1/1 points All Submissions Notes Question: GFColAlg9 4.3.064.

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Practice Find the value of x.

x^{log₃ 9} = 9

x =

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6. –/1 points Notes Question: GFColAlg9 4.3.080.

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Practice Use a calculator to find the value below to four decimal places. (If the value is undefined, then enter UNDEFINED.)

log(ln(0.001))

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7. 1/1 points All Submissions Notes Question: GFColAlg9 4.3.114.

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Discovery and Writing Consider the following graphs. Which is larger, a or b and why?

a is larger b is larger when x is between 0 and 1, and a is larger from 1 to

. b is larger a is larger when x is between 0 and 1, and b is larger from 1 to

. a and b are equal

Your answer is correct.

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8. –/2 points Notes Question: GFColAlg9 2.4.096.

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Applications Two 22 inch diameter tires stand against a wall, as shown in the illustration. Find the equations of the circular boundaries of the tires.

left tire		0 =	1
right tire		0 =	2

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9. 0/1 points All Submissions Notes Question: GFColAlg9 5.3.058.

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Review Simplify the following radical expression. Assume that all variables represent positive numbers.

$<math><mrow><mfrac><mrow><mfenced close=")" open="("><msqrt><mn>5</mn></msqrt><mo>+</mo><msqrt><mi>x</mi></msqrt></mfenced><mfenced close=")" open="("><msqrt><mn>5</mn></msqrt><mo>+</mo><msqrt><mi>x</mi></msqrt></mfenced></mrow><mrow><mn>5</mn><mo>-</mo><mi>x</mi></mrow></mfrac></mrow></math>$ Your answer is incorrect.

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10. –/1 points Notes Question: GFColAlg9 3.1.050.

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Practice Evaluate the difference quotient for the function f(x) = 2x - 1.

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11. –/4 points Notes Question: GFColAlg9 3.1.036.

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Practice Let the function f be defined by y = f(x), where x and f(x) are real numbers.

f(x) = 2x + 6

Find f(2).

Find f(-3).

Find f(k).

Find f(k²-1). (Expand and simplify your answer fully.)

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12. 0/1 points All Submissions Notes Question: GFColAlg9 3.2.030.

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Applications The rectangular garden shown has a width of x and a perimeter of 151 feet. Find x such that the area of the rectangle is maximum.
Your answer is incorrect.

feet

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13. 1/1 points All Submissions Notes Question: GFColAlg9 3.3.004.

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Vocabulary and Concepts If the graph of a function is symmetric about the Your answer is correct.

, it is called an even function.

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14. 0/1 points All Submissions Notes Question: GFColAlg9 3.3.026.

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Practice Determine whether the following function is even or odd. If it is neither, so indicate.

f(x) = (8x)³ - (5x)²

even odd both neither

Your answer is incorrect.

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15. –/1 points Notes Question: GFColAlg9 3.4.004.

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Vocabulary and Concepts The graph of y = f(x + 3) is identical to the graph of y = f(x) except that it is translated 3 units to the .

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16. –/13 points Notes Question: GFColAlg9 3.5.054.

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Practice Find all vertical, horizonal, and slant asymptotes, x- and y-intercepts, and symmetries, and then graph the function. (If one of the asymptotes does not exist, type NONE. If one of the intercepts does not exist, also type NONE. If there is more than one intercept, list the one with the smaller value first. Do this graph on paper. Your instructor may ask you to turn this in.) Check your work with a graphing calculator.

Vertical:	1 Enter a number. 2
Horizontal:	3 Answer is not case sensitive. 4
Slant:	5 Enter a mathematical expression. 6
x-intercepts:	( Enter a number. 7, Enter an exact number. 8), ( Enter a number. 9, Enter an exact number. 10)
y-intercepts:	( Enter an exact number. 11, Enter a number. 12)
Symmetry:	13

Click here for help with symbolic formatting.

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17. –/2 points Notes Question: GFColAlg9 3.6.060.

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Practice Let f(x) and g(x) be defined below.

Determine the domain of the composite function below by selecting the intervals below which compose the domain.

f)(x)

, 24) (-

, 0) (4.17,

) (24,

) (-

, 4) (4, 4.17) (0,

) (-

)

Find the composite function.
(g

f)(x) =

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18. –/2 points Notes Question: GFColAlg9 3.7.030.

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Practice The equation below defines a one-to-one function f. Determine f^-1 and verify that f

f^-1 and f^-1

f are the identity function.

f^-1 =

f

f^-1 = f^-1

f =

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19. –/3 points Notes Question: GFColAlg9 3.7.046.

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Practice The function f defined by the given equation is one-to-one on the given domain. Find f^-1(x).

(x > 0)

f^-1(x) = , x

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20. –/1 points Notes Question: GFColAlg9 3.R.034.

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Let f(x) = x² - 1 and g(x) = 2x + 6. Find the following function. (Expand your answer fully.)
(f

g)(x) =

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Gustafson and Frisk - College Algebra 9/e (Homework)

Current Score: 8/42