91Ó°ÊÓ

OPEN ENDED Sketch a graph of a function that has one relative maximum point and two relative minimum points.

Write a polynomial function of least degree with integral coefficients that has the given zeros. \(6,2+2 i\)

If \(2^{r+5}=2^{2 r-1},\) what is the value of \(r ?\)

PERSONAL FINANCE For Exercises \(38-41,\) use the following information. Zach has purchased some home theater equipment for \(\$ 2000,\) which he is financing through the store. He plans to pay \(\$ 340\) per month and wants to have the balance paid off after six months. The formula \(B(x)=2000 x^{6}-\) 340\(\left(x^{5}+x^{4}+x^{3}+x^{2}+x+1\right)\) represents his balance after six months if \(x\) represents 1 plus the monthly interest rate (expressed as a decimal). Find his balance after 6 months if the annual interest rate is 9.6\(\%\)

Find \(p(4)\) and \(p(-2)\) for each function. \(p(x)=\frac{1}{8} x^{3}-\frac{1}{4} x^{2}-\frac{1}{2} x+5\)

GEOMETRY The width of a rectangular prism is \(w\) centimeters. The height is 2 centimeters less than the width. The length is 4 centimeters more than the width. If the volume of the prism is 8 times the measure of the length, find the dimensions of the prism.

What value of \(r\) makes \(y^{28}=y^{3 r} \cdot y^{7}\) true?

E-SALES. For Exercises 38 and \(39,\) use the following information. A small online retailer estimates that the cost, in dollars, associated with selling \(x\) units of a particular product is given by the expression \(0.001 x^{2}+5 x+500 .\) The revenue from selling \(x\) units is given by 10\(x\) . Find the profit from sales of 1850 units.

For Exercises \(39-41,\) sketch a graph of each polynomial. odd-degree polynomial function with one relative maximum and one relative minimum; the leading coefficient is negative

Simplify \(\left(c^{2}-6 c d-2 d^{2}\right)+\left(7 c^{2}-c d+8 d^{2}\right)-\left(-c^{2}+5 c d-d^{2}\right)\)