Which exponential function is represented by the values in the table? A. f(x) = (4)x B. f(x) = 4(4)x C. f(x) = 4 D. f(x) =

Question

asked Nov 11, 2019 68.6k views

2 Answers

Cvbattum · Answer 1 · 2019-11-17T02:57:58+0000

Here we use the equation

y = a(b)^x

Taking points (0,4), (1,2)

Substituting the point (0,4) , we will get

$4 = a(b)^0 \\ 4 = a(1)  \\ a =4$

Substituting (1,2) we will get

$2 = 4 (b)^1 \\ 2/4 = b \\ b = 1/2$

So we have

a = 4, b = 1/2

Therefore , required equation is

y = 4(1/2)^x