Question

Which of the following exponential functions goes through the points (1, 12) and (2, 36)?

f(x) = 4(3)−x
f(x) = 3(4)−x
f(x) = 3(4)x
f(x) = 4(3)x

Answer 1

Right off the bat, lets look at the points. Do they go up or down?

Answer 2

up

Answer 3

So we can eliminate
\(f(x) = 4(3)^{−x}\) and \(f(x) = 3(4)^{−x}\)

Answer 4

yeah

Answer 5

To check which one is right we can substitute each point into the equations (If you dont have access to a graphing calculator)
Ex. (To check for answer choice D)
\(f(x)=4(3)^x=>~~12=4(3)^1\)
and
\(36=4(3)^2\)

If you do it should look something like this https://www.desmos.com/calculator/xvcyxstsha

Answer 6

ohh okay

Answer 7

hm

Answer 8

now what?

Answer 9

Do can you use graphing calculators?

Answer 10

no i can't

Answer 11

\(\color{#0cbb34}{\text{Originally Posted by}}\) @dude
To check which one is right we can substitute each point into the equations (If you dont have access to a graphing calculator)
Ex. (To check for answer choice D)
\(f(x)=4(3)^x=>~~12=4(3)^1\)
and
\(36=4(3)^2\)

\(\color{#0cbb34}{\text{End of Quote}}\)

Then let's solve for these
\(12=4(3)^1\)
\(36=4(3)^2\)

Answer 12

im sorry i have to go now thanks for everything you've helped with ill be on later bye!

Answer 13

Alright

Answer 14

@dude hey could you help?

Answer 15

nvm i think my answer is D thanks for everything though!