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Connally et al-Functions Modeling Change 4/e (Homework)

Chris Read

Wiley, section 1, Fall 2011

Instructor: Mr. Wiley

Current Score : 0 / 27

Due : Sunday, August 21, 2011 08:00 PM EDT

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  • Description

    Here are some textbook questions from Functions Modeling Change: A Preparation for Calculus 4/e by Eric Connally, Deborah Hughes Hallett, and Andrew Gleason published by John Wiley & Sons, Inc. Click here for a list of all of the questions coded in WebAssign.

  • Instructions

    This demo assignment allows more submissions than recommended.

    For this assignment, questions that are randomized can be answered for practice before submitting for grading.

Assignment Submission

For this assignment, the number of submissions for each answer box is counted independently. The number of submissions remaining changes only if you submit a new or changed answer.

1. –/5 points Notes Question: CHGFuncMod3 1.2.016.
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Let f(x) = 25 – x2.
(a) Compute each of the following expressions.
(i)
f(1) – f(0)
1 − 0
=
Enter an exact number.
(ii)
f(5) – f(1)
5 − 1
=
Enter an exact number.
(iii)
f(5) – f(0)
5 − 0
=
Enter a number.
(b) Graph f(x). Illustrate each ratio in part (a) by sketching the line segment with the given slope.

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(c) Over which interval is the average rate of decrease the greatest?
    

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2. –/3 points Notes Question: CHGFuncMod3 2.1.027.
Question part
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0/3
 
Consider the following.
f(x) =
x
x − 12
(a) Find and simplify the following.
(i)   f ( 12 ) =
Enter a mathematical expression.
Click here to preview your answer.
t
(ii)   f ( 12 ) =
Enter a mathematical expression.
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t + 4
(b) Solve f(x) = 6.
x =
Enter an exact number as an integer, fraction, or decimal.

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3. –/13 points Notes Question: CHGFuncMod3 2.3.016.
Question part
Points
Submissions
1 2 3 4 5 6 7 8 9 10 11 12 13
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
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0/13
 
A floor-refinishing company charges $1.26 per square foot to strip and refinish a tile floor for up to 1000 square feet. There is an additional charge of $255 for toxic waste disposal for any job which includes more than 200 square feet of tile.
(a) Express the cost, y, of refinishing a floor as a function of the number of square feet, x, to be refinished.
f(x) = {
Enter a mathematical expression.
Click here to preview your answer.,
Enter an exact number.
 ≤ x ≤
Enter an exact number.
Enter a mathematical expression.
Click here to preview your answer.,
Enter an exact number.
 < x ≤
Enter a number.

(b) Graph the function.

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(c) Give the domain and range.
The domain is
Enter an exact number.
 ≤ x ≤
Enter an exact number.
.
The range is
Enter an exact number.
 ≤ y ≤
Enter a number.
 or
Enter a number.
 < y ≤
Enter a number.
.

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4. –/2 points Notes Question: CHGFuncMod3 3.3.038.
Question part
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The population of a colony of rabbits grows exponentially. The colony begins with 10 rabbits; seven years later there are 560 rabbits.
(a) Give a formula for the population of the colony of rabbits as a function of the time.
P(t) =
Enter a mathematical expression.
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(b) Use a graph to find how long it takes for the population of the colony to reach 1700 rabbits. (Give your answer correct to two decimal places.)
Enter a number.
 years

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5. –/1 points Notes Question: CHGFuncMod3 4.1.039.
Question part
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1
0/1
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0/1
 
Solve the equation exactly for x.
ex + 4 = 9 · 8x
x =
Enter a mathematical expression.
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6. –/2 points Notes Question: CHGFuncMod3 6.4.030.
Question part
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Submissions
1 2
0/1 0/1
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0/2
 
Consider the following.
(a) Write an expression for the slope of the line segment joining S and T in the figure shown above.
Enter a mathematical expression.
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(b) Evaluate your expression for a = 1.9, h = 0.12. Round your answer to two decimal places.
Enter a number.

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7. –/1 points Notes Question: CHGFuncMod3 9.3.004.
Question part
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Submissions
1
0/1
0/50
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0/1
 
Find the zeros of the function. (Separate multiple answers by commas.)
y = (x2 + 5x – 9)(x3 + 4x2 – 21x)
Enter a mathematical expression or equation with exact values.
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