AP Calculus Do Now 10/12

If

 $f\left(x\right)=\frac{x^2+5x-24}{x^2+10x+16}$ 
then  $\lim_{x\rightarrow-8}f\left(x\right)=$   

• 0

• -3/2

• 11/6

• Nonexistent

The function f is given by f(x) = x⁴ + 4x³. On which of the following intervals is f decreasing?

• $\left(0,\ \infty\right)$

• $\left(-3,\ \infty\right)$

• $\left(-\infty,\ -3\right)$

• $\left(-\infty,\ 0\right)$

The value of c that satisfies the Mean Value Theorem for derivatives on the interval [0, 5] for the function f(x) = x³ - 6x is

• $-\frac{5}{\sqrt{3}}$

• 0

• 1

• $\frac{5}{\sqrt{3}}$