Exam 2: Polynomial, Power, and Rational Functions

The value of an antique chair is projected to appreciate $\$ 60$ each year. If the chair will be worth $\$ 650$ in 2 years, what will it be worth in 10 years?

Solve the rational equation $\frac{x(2 x+1)}{x-2}=\frac{10}{x-2}-\frac{5}{2}$

Write an equation in standard form for the parabola that has vertex (3,-2) and passes through the point (1,14) .

Find a polynomial of degree 3 whose zeros are $-3, \frac{3}{2}, 2$

$\text { Solve the inequality } \frac{x+5}{|x-2|} \leq 0 \text {. }$ ch02_p13_20 3/31/10 8:49 AM Page 16

Solve the inequality $\frac{3 x+2}{(x+1)(2 x)} \leq 0$

What is the minimum value for the function $y=3 x^{2}-60 x+194 ?$

Find all the asymptotes and the intercepts of the function $f(x)=\frac{x^{2}-3 x+5}{x+2}$ . ch02_p13_20 3/31/10 8:49 AM Page 17 FORM A DATE 2 Chapter Test NAME Directions: Show all work where appropriate. A graphing calculator may be necessary to answer some questions.

Describe the end behavior of the polynomial function $f(x)=-3 x^{5}+2 x^{4}+5 x-3$ f(x) \rightarrow ------- as x \rightarrow-\infty f(x) \rightarrow ------- as x \rightarrow\infty

Solve the inequality $\frac{x-6}{|2 x-4|} 0 .$

Draw the graph of $f(x)=0.05 x^{3}+6 x^{2}-2 x-3$ in the [-15,10] by [-100,175] viewing rectangle. How many real zeros are evident from this graph?

Write a linear factorization of $f(x)=x^{3}+6 x-7$