Question

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

f(x) = 3(2)x

f(x) = 2(3)x

f(x) = 3(2)−x

f(x) = 2(3)−x

Answer 1

just substitute the x values to see if you get the y values

1st point x = 1 and f(1) = 6

so does

\[6 = 3 \times 2^1\]

is it's true, then use the 2nd point x = 2 and f(x) = 12

and see if it's true again...

two trues will give the correct answer

Answer 2

Is it b? @campbell_st

Answer 3

well looking at A 6 = 3 x 2 which is true

in B you have

\[6 = 2 \times 3^1\] which is also true...

so take the 2nd point x = 2 and f(2) = 12 and see which of A or B is true...

Answer 4

Oh okay is it a? @campbell_st

Answer 5

is that a guess or because you calculated an answer

Answer 6

I calculated @campbell_st

Answer 7

or at least i tried

Answer 8

so you didn't need to ask... you have the answer

A.

\[12 = 3 \times 2^2\]

B.

\[12 = 2 \times 3^2\]

Answer 9

oh ok thank you!