(04.07)
which of the following exponential functions goes through the points (1, 6) and (2, 12)? (2 points)

f(x) = 3(2)x
f(x) = 2(3)x
f(x) = 3(2)−x
f(x) = 2(3)−x

The correct option is 1.

Step-by-step explanation:

If the exponential function passing through a point  it means the points satisfies the function.

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

The first function is

Put x=1

Put x=2

Both points are satisfied by this function therefore the correct option is 1.

The second function is

Put x=1

Put x=2

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

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

aloha~! my name is zalgo and i am here to you out on this amazing day. to answer your question, yes, nonzero numbers can have a greatest common factor and that would be 1. still don't get it? let me considering every number is divisible by 1 and hence every number has 1 as a factor of theirs. so, if 2 nonzero numbers didn't share any gcf (greatest common factor), they would still have a factor in common and that would be 1.

i hope that this ! : p

"stay and stay proud! " - zalgo

(by the way, do you mind marking me as brainliest? i'd greatly appreciate it! mahalo! x3)