Let f(x) = x2+4 Find f(a+b) Draw a secant line of the function f(x) = x2+4 that intersects the function at (0,4) and (2, 8)

What is the average rate of change of the function f(x) = x2 from x=2 to x=4? 12 6 -4

Given f(x) = x2, evaluate and simplify g(x) = 𝑓 𝑥+2 −𝑓(𝑥) 2 4𝑥− 𝑥 2 2 2 𝑥 2 +2 4 𝑥 2 +4𝑥+4 2x+2

Using f(x) = x2, find g(2) when 𝑔 𝑥 = 𝑓 𝑥+2 −𝑓(𝑥) 2 6 𝑓 𝑥+2 −𝑓 2 2 g(f(2)) 12

Using f(x) = x2, find f(x+h) 𝑥 2 + ℎ 2 2x-2h 𝑥 2 +2ℎ𝑥+ ℎ 2 x+2h

If f(x) = x2, find and simplify 𝑔 𝑥 = 𝑓 𝑥+ℎ −𝑓(𝑥) ℎ 𝑔 𝑥 =2𝑥+ℎ 𝑔 𝑥 =4𝑥−4 𝑔 𝑥 = 𝑥 2 + ℎ 2 𝑔 𝑥 = 𝑥 2 +2ℎ𝑥 ℎ

Using 𝑔 𝑥 = 𝑓 𝑥+ℎ −𝑓(𝑥) ℎ from the previous problem, evaluate g(x) when x=2 and h=2. 12−2 6 16 2