Unit 2 AP Calculus Quiz Review

Whats is the average rate of change of the function $$f\left(x\right)\ =\ -x^2+\ 1\ at\ the\ interval\ x\ =\ -2\ and\ x\ =\ 1?$$  

(a)  

Whats is the average rate of change of the function $$f\left(x\right)\ =\ 2x^2+\ 1\ at\ the\ interval\ x\ =\ 0\ and\ x\ =\ 1?$$  

(a)  

f'(x)=

$$\lim_{h\rightarrow0}\left(\frac{5\left(x+h\right)^2-5x^2}{h}\right)$$  

$$\lim_{x\rightarrow2}\left(\frac{x^2-4}{x-2}\right)$$  

Consider the graph of f(x).  The function is discontinuous at the following values EXCEPT

A function $$f\left(x\right)$$  has to be continuous at $$x=a$$  if the $$\lim_{x\rightarrow a}\ f\left(x\right)$$  exists.