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Friday, November 20, 2009 20:54 EST

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Sullivan - Precalculus 8/e (Homework)

James Finch

Math - College, section 1, Fall 2010

Instructor: Dr. Friendly

Current Score: 0/27

Due: Monday, November 15, 2010 21:30 EST

Question
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1 2 3 4 5 6 7
0/1 0/1 0/4 0/4 0/10 0/6 0/1
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0/27

Description

Here are some textbook questions from Precalculus 8/e by Michael Sullivan published by Prentice Hall. 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. –/1 points Notes Question: SulPreCalc8 1.3.129.
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Which of the following equations might have the graph shown? (Select all that apply.)




2. –/1 points Notes Question: SulPreCalc8 2.1.080.
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Find the difference quotient of f, that is, find (f(x + h) - f(x))/h  ,  h != 0, for this function. Be sure to simplify.
f(x) = 1/(x+ 2)
Enter a mathematical expression.
Click here to preview your answer.
Click here for help with symbolic formatting.

3. –/4 points Notes Question: SulPreCalc8 2.3.063.
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An open box with a square base is to be made from a square piece of cardboard 30 inches on a side by cutting out a square from each corner and turning up the sides. Consult the figure below where A = 30.
(a) Express the volume V of the box as a function of the length x of the side of the square cut from each corner.
V(x) =
Enter a mathematical expression.
Click here to preview your answer.
Click here for help with symbolic formatting.

(b) What is the volume if a 2 inch square is cut out?
V =
Enter a number.

(c) What is the volume if a 10 inch square is cut out?
V =
Enter a number.

(d) Graph V = V(x). For what value of x is V largest?
x =
Enter a number.
inches


4. –/4 points Notes Question: SulPreCalc8 3.2.020.
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A researcher would like to estimate the linear function relating the gestation period of an animal, G, and its life expectancy, L. She collects the following data. Let G represent the independent variable and L the dependent variable.
(a) Use a graphing utility to draw a scatter diagram.
(b) Use a graphing utility to find the line of best fit to the data.
L(G) =
Enter a mathematical expression.
Click here to preview your answer.
(c) Interpret the slope.
For each 1 day increase in gestation period, the life expectancy by
Enter a number.
years.
(d) Predict the life expectancy of an animal whose gestation period is 92 days.
Enter a number.
years
Click here for help with symbolic formatting.

5. –/10 points Notes Question: SulPreCalc8 4.1.055.
Question part
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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
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0/10
 
You are given this polynomial function.
f(x) = -2x2(x2 - 5)
(a) List each real zero and its multiplicity.
Enter a number.
, multiplicity
Enter a number.
(smallest zero value)
Enter an exact number.
, multiplicity
Enter a number.

Enter a number.
, multiplicity
Enter a number.
(largest zero value)

(b) Determine whether the graph crosses or touches the x-axis at each x-intercept.
The graph at the smallest value.
The graph at the middle value.
The graph at the largest value.

(c) Find the power function that the graph of f resembles for large values of |x|.
y =
Enter a mathematical expression.
Click here to preview your answer.
Click here for help with symbolic formatting.

6. –/6 points Notes Question: SulPreCalc8 5.1.008.
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0/1 0/1 0/1 0/1 0/1 0/1
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0/6
 
Evaluate each expression using the values given in the table below.
x -3 -2 -1 0 1 2 3
f(x) 12 9 8 4 3 1 -1
g(x) -17 -3 0 5 0 -3 -17
(a) (fg)(1)
Enter a number.

(b) (fg)(2)
Enter a number.

(c) (gf)(2)
Enter an exact number.

(d) (gf)(3)
Enter an exact number.

(e) (gg)(1)
Enter a number.

(f) (ff)(3)
Enter a number.



7. –/1 points Notes Question: SulPreCalc8 5.3.034.
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The graph of a exponential is given. Match the graph to one of the following functions.