End Behavior and Polynomial Functions LC

$$x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$$ "Falls left"

$$x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$$  "Rises left"

$$x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$  "Falls right"

$$x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$  "Rises Right"

$$x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$$ "Falls left"

$$x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$$ "Rises left"

$$x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$ "Falls right"

$$x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$ "Rises Right"

$$f\left(x\right)=-x\left(x+3\right)\left(x-2\right)$$

$$f\left(x\right)=\left(x+3\right)\left(x-2\right)\left(x\right)$$

$$f\left(x\right)=-x^2\left(x+3\right)\left(x-2\right)^2$$

$$f\left(x\right)=-\left(x+3\right)^3\left(x-2\right)^2$$

$$\frac{1}{100}\left(x+4\right)^2\left(x+1\right)\left(x-3\right)^3$$

$$\frac{1}{100}\left(x+4\right)\left(x+1\right)\left(x-3\right)$$

$$-\frac{1}{100}\left(x-3\right)^3\left(x+4\right)^2\left(x+1\right)$$

$$\frac{1}{100}\left(x+4\right)^2\left(x+1\right)\left(x-3\right)$$

$$-\frac{1}{100}\left(x+4\right)^2\left(x+1\right)\left(x-3\right)$$

2

3

4

5

Degree is Even, Leading Coefficient is Positive

Degree is Odd, Leading Coefficient is Negative

Degree is Even, Leading Coefficient is Negative

Degree is Odd, Leading Coefficient is Positive