THIS USER ASKED πŸ‘‡

Which of the following exponential functions goes through the points (1, 6) and (2, 12)? (2 points) Group of answer choices

THIS IS THE BEST ANSWER πŸ‘‡

1 is the right choice.

Step by step explanation:

If the exponential function passes through a point it means that the points fulfill the function.

If the exponential functions pass through the points (1, 6) and (2, 12). It means that the value of the function at x = 1 is 6 and 12 the value of the function at x = 2.

It is the first function

f (x) = 3 (2) ^ x

Add x = 1

f (x) = 3 (2) ^ 1 = 6

Add x = 2

f (x) = 3 (2) ^ 2 = 12

This function satisfies both points so 1 is the correct choice.

It is the second function

f (x) = 2 (3) ^ x

Add x = 1

f (x) = 2 (3) ^ 1 = 6

Add x = 2

f (x) = 2 (3) ^ 2 = 18

This equation does not satisfy the second point so option 2 is incorrect.

Since the power is negative, so at x = 2 the value of the function is in the form of a fraction, so options 3 and 4 are wrong.