Precalculus Honors Chapter 2 Quiz

What are the domain and range of the function $f\left(x\right)=\frac{1}{3}x^{-2}$  ?

•  $D=\left(-\infty,\ \infty\right);\ R=\left(-\infty,\ \infty\right)$  

•  $D=\left(-\infty,\ \infty\right);\ R=\left(0,\ \infty\right)$  

•  $D=\left(-\infty,\ 0\right)\cup\left(0,\ \infty\right);\ R=\left(0,\ \infty\right)$  

•  $D=\left(-\infty,\ 0\right)\cup\left(0,\ \infty\right);\ R=\left(-\infty,\ \infty\right)$  

The graph of  $f\left(x\right)=-\frac{1}{2}x^5$  is shown. What is the domain of the function?

•  $\left(-\infty,\ \infty\right)$  

•  $\left(0,\ \infty\right)$  

•  $\left(-\infty,\ 0\right)or\ \left(0,\ \infty\right)$  

•  $\left(-\infty,\ 0\right)$  

Solve.

• 9

• 5

• -3

• -13

• A

• B

• C

• D

• 1

• 2

• 3

• 4

State the number of possible real zeros of $f\left(x\right)=\ x^{4\ }-\ 2x^2\ +1$ 

• 1

• 2

• 3

• 4

Which binomial is NOT a factor of $x^4+5x^3-7x^2-29x+30$  ?

•  $\left(x-5\right)$  

•  $\left(x-2\right)$  

•  $\left(x-1\right)$  

•  $\left(x+3\right)$  

Factor $x^4-2x^3-33x^2+50x+200\$  completely using the given factor  $x^2-25$  .

Use synthetic substitution to find f(3) given that $f\left(x\right)=-x^4+3x^3+x^2-8x-16$