1. 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)

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

3. 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

4. Using f(x) = x2, find g(2) when 𝑔 𝑥 = 𝑓 𝑥+2 −𝑓(𝑥) 26
𝑓 𝑥+2 −𝑓 2 2
g(f(2)) 12

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

6. 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

7. 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