For the graphed exponential equation, calculate the average rate of change from x = 0 to x = 1.

graph of f of x equals 2 to the x plus 2 power, minus 5.

three halves
seven thirds
3
4

Respuesta :

I think the answer is 3/2 but I will update this answer when I get my results back for the question

Answer:  4

Step-by-step explanation:

Here the given function,

[tex]f(x) = 2^{x+2} - 5[/tex]

For x= 0, y-coordinate = [tex]f(0) = 2^{0+2} - 5 = 2^2-5 = -1[/tex]

For x = 1, y-coordinate = [tex]f(1) = 2^{1+2} - 5 = 2^3-5 = 3[/tex]

Thus,  The average rate of change from x = 0 to x = 1

= [tex]\frac{f(1)-f(0)}{1-0}[/tex]

= [tex]\frac{3-(-1)}{1-0}[/tex]

= [tex]\frac{3+1}{1}[/tex]

= 4