Question

What exponential function is the best fit for the data in the table?

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

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 1

i plugged in the x's but it just doesn't make sense

Answer 2

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

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

f(x) = 1/4(3)^(x - 1) + 4

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

Answer 3

@wio @precal

Answer 4

What subject is this?

Answer 5

algebra 11

Answer 6

2

Answer 7

First of all, the function is increasing, so the base of the exponent should be \(>1\) ok?

Answer 8

sure

Answer 9

All exponential functions can be of the form :\[
f(x) = b^x+c
\]

Answer 10

In our case, we say \(b>1\).

Answer 11

but we already have our b

Answer 12

dont we?

Answer 13

whoops \[
f(x) = ab^x+c
\]

Answer 14

What is \(b\)?

Answer 15

i believe from the answer choices it would be 3

Answer 16

When \(x = 0\), then we have \[
ab^0+c = a+c
\]

Answer 17

true

Answer 18

It looks like they have \[
ab^{x-1}+c
\]So in this case, \(x=1\) would be where our \(x=0\) would have been.

Answer 19

pretty much but it still does not match the chart

Answer 20

What is closest?

Answer 21

ooooh am i suppose look for the closest?

Answer 22

well the closest is D

Answer 23

D gets -3.75

Answer 24

hmmmm........

Answer 25

nothing else actually works
A = 8
B = 0
C = 4.25
D = -3.75

Answer 26

@wio are you there

Answer 27

well thanks for your help wio you helped me get a 100%

Answer 28

legit

Answer 29

gracias