THIS USER ASKED ๐
Which exponential function goes through the points (1,32) and (4,2048)
THIS IS THE BEST ANSWER ๐
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
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