HW 2.2 Graphing Polynomials

A

B

C

D

$$As\ x\ \rightarrow\infty\ f\left(x\right)\rightarrow\infty$$
$$As\ x\ \rightarrow\ -\infty\ f\left(x\right)\ \rightarrow-\infty$$

$$As\ x\ \rightarrow\ \infty\ f\left(x\right)\ \rightarrow-\infty$$
$$As\ x\ \rightarrow\ -\infty\ f\left(x\right)\rightarrow-\infty$$

$$As\ x\ \rightarrow\infty\ f\left(x\right)\ \rightarrow\infty$$
$$As\ x\ \rightarrow-\infty\ f\left(x\right)\rightarrow\infty$$

$$As\ x\ \rightarrow\infty\ f\left(x\right)\rightarrow\ -\infty$$
$$As\ x\ \rightarrow-\infty\ f\left(x\right)\ \rightarrow\infty$$

Even Degree

Odd Degree

Positive Leading Coefficient

Negative Leading Coefficient

Even Degree

Odd Degree

Positive Leading Coefficient

Negative Leading Coefficient

-1

-3

-120

4

0 (Mult of 2), 2 (Mult of 3), 7 (mult 1)

2 (Mult of 3), 7 (mult 1)

0, 2, 7

2 (mult of 2), 7 (mult of 3)