Verified Answer :

meerkat18

The exponential function that goes through  (1, 8) and (4, 64) is determined by substituting the points to the given functions:
a.  y = f(x) = 4(2)^1 = 8    y = f(x) = 4(2)^4 = 64
Since a already answered the question, the answer is A. f(x)=4(2)x 

SociometricStar

Answer:

\(f(x)=4(2)^x\) is the correct exponential graph.

Step-by-step explanation:

We have been given the points (1, 8) and (4, 64) and we have to determine from which exponential function these point are passing through.

The y-coordinate in both the points is greater than the y-coordinate. Hence, we must have positive exponent on x. Then only we can get a higher value.

Hence, options c and d can be discarded.

Let us substitute the values for x and y in the first option.

For x = 1

\(y=4(2)^1=8\)

And for x=4.

\(y=4(2)^4=64\)

It satisfied the equation.

Therefore, \(f(x)=4(2)^x\) is the correct exponential graph.

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