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

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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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2. –/1 points Notes Question: SulPreCalc8 2.1.080.

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Find the difference quotient of f, that is, find

, for this function. Be sure to simplify.

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) =

(b) What is the volume if a 2 inch square is cut out?
V =
(c) What is the volume if a 10 inch square is cut out?
V =
(d) Graph V = V(x). For what value of x is V largest?
x = 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) =

(c) Interpret the slope.
For each 1 day increase in gestation period, the life expectancy by years.
(d) Predict the life expectancy of an animal whose gestation period is 92 days.
years

5. –/10 points Notes Question: SulPreCalc8 4.1.055.

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You are given this polynomial function.

f(x) = -2x²(x² - 5)

(a) List each real zero and its multiplicity.
, multiplicity (smallest zero value)
, multiplicity
, multiplicity (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 =

6. –/6 points Notes Question: SulPreCalc8 5.1.008.

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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) (f

g)(1)

(b) (f

g)(2)

(c) (g

f)(2)

(d) (g

f)(3)

(e) (g

g)(1)

(f) (f

f)(3)

7. –/1 points Notes Question: SulPreCalc8 5.3.034.

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Sullivan - Precalculus 8/e (Homework)

Current Score: 0/27