THIS USER ASKED πŸ‘‡

Which exponential function goes through the points (1,32) and (4,2048)

THIS IS THE BEST ANSWER πŸ‘‡

y = 8 * 4 ^ x

Step by step explanation:

Let the function be exponential in the form y = A * B ^ x

We want to get a constant of A and B.

So I’m going to give it a use (1,32) 32 = A * B.

I’m going to use (4,2048) giving me 2048 = A * B ^ 4

2048/32 = 64

A * B ^ 4 / A * B = B ^ 3

So If you divide the equation 2048 = A * B ^ 4 by 32 = A * B.

we find 64 = B ^ 3

which gives us B = 4

From 32 = A * B and B = 4 then A = 8

So the answer is y = 8 * 4 ^ x