Question

For the graphed function f(x) = (2)^x + 2 + 1, calculate the average rate of change from x = -2 to x = 0

Answer 1

X1=-2 and x2=0
We need to find y1 and y2 so
F(-2)=2^(-2+2)+1=2
The point(x1,y1)=(-2,2)
F(0)=2^(0+2)+1=5
The point(x2,y2)=(0,5)
Now, calculate the average rate of change (slope):
m = (y2 – y1) / (x2 – x1) =(5-2)/(0-(-2))
m=3/2
The answer is c
Hope it helps