COLLEGE ALGEBRA HW NEED ANSWERS WITH SHOWN WORK

12 questions with all work shown
covers:
division of polynomials
real zeros of polynomials functions
fundamental theorem of algebra
rational functions and models
equations and inequalities
Radical equations and power functions
combining functions
inverse functions
exponential functions and models
logarithmic functions and models
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College Algebra Exam 3

Answer all questions to the best of your ability. Show all work. If you choose to solve a problem

graphically, you must copy all graphs to a separate piece of paper with the problem number written by

the graph and turn in this sheet. Do not use a graphing calculator on problem 4.

1. Solve

2. Solve

3. Let and . Find the following:

a.

b.

c.

4. DO NOT USE THE GRAPHING FEATURES OF YOUR CALCULATOR FOR THIS PROBLEM. Graph the

function .

5. Let . Find the inverse function of . State the inverse function’s

domain and range.

6. Find the quotient and remainder when is divided by .

7. Solve

8. Let . Find the rational zeros of using the rational zeros

theorem (note: if you like, you can find one of the zeros using the rational zeros theorem then

find the other 2 by other techniques)

9. Suppose there is a Acme is a company that makes widgets. The revenue from selling widgets,

in dollars, is given by . The cost of making widgets, in dollars, is given by

. Assuming the company sells all the widgets it makes, for what values of does

the company make a profit (note: the answer is an interval)?

10. Suppose is a polynomial of degree 4. Its only real zero is . It has a complex zero

. The leading coefficient of is . Write the complete factored form of .

11. The formula approximates the recommended minimum weight for a person

inches tall, where .

a. Does represent a one-to-one function? Why or why not?

b. If is one-to-one, find a formula for the inverse.

12. Suppose . Given that is a zero of , find the other zero(s)

(note: they may be imaginary zeros).