Question

NEED HELP!!! WILL GIVE MEDAL!!!
What exponential function is the best fit for the data in the table?



x

f(x)

1 -4
3 -1
4 3

Answer 1

answer choices:
f(x) = 4(3)x - 1 + 4

f(x) = 4(3)x - 1 - 4

f(x) = one fourth(3)x - 1 + 4

f(x) = one fourth(3)x - 1 - 4

Answer 2

@ganeshie8

Answer 3

@cambam1323 did you try plugging in x and finding f(x)?

Answer 4

no i have no idea how to find these problems. will that work by plugging in for x and i get fx on the right equation? its just a matter of plugging x?

Answer 5

We are given this
x

f(x)

1 -4
3 -1
4 3

so our answer is the one that will hold true for all of these relations. You can start by putting x=1 and check f(x) for all the options, the ones which give f(x)=-4 may be the answer but the ones which are anything but -4, we can certainly ignore them.
Do you follow? can you try?

Answer 6

yes hang on let me give it a try. i know already that the first two wont work because i tried them.

Answer 7

yes, take your time.

Answer 8

oops each x-1 is supposed to be the ^x-1 of (3)... the first two still don't work though.

Answer 9

could you check second option again?

Answer 10

sure! i was thinking the last one but it doesnt hurt to double check! :)

Answer 11

yes, good ;)

Answer 12

so it is the last one? i just double checked 2 and it didnt work.

Answer 13

but the last one does.

Answer 14

I believe second is also a possible option based on x=1 and f(x)=-4

\[f(x)=4 (x-1)^3-4\]
Let's plugin x=1
\[f(x)=4 (1-1)^3-4\]
\[f(x)=4\times 0 -4\]
\[f(x)=0-4\longrightarrow -4\]

Answer 15

\[f(x)=4(3)^{x-1}-4 \]
is how option two looks.

Answer 16

oh I am sorry, then you are correct

Answer 17

okay yay! thank you for helping me!!! :)

Answer 18

no problem. Apologies for the confusion :/

Answer 19

its okay that happens alot in math and technology for that matter haha

Answer 20

ha ha :D