Mathematics: What exponential function is the best fit for the data in the table? x f(x)2 -33 04 12a. f(x) = 4(4)^x - 1 + 4b. f(x) =4(4)^ x - 1 - 4c. f(x) = 1/4(4)^x -1 + 4d. f(x) = 1/4(4)^ x - 1 - 4

1, 3, 4Step-by-step explanation:i m pretty sure that it s right, not 100% though.....

What exponential function is the best fit for the

quanharris2k19

15.03.2022

option D.

Step-by-step explanation:

Data given in the table is

x 2 3 4

f(x) -3 0 12

Now we will plug in the values of x in the given functions to find the correct exponential function.

For x =2

A). f(x) = 4(4) $^{(x-1)}$ + 4

f(2) = 4(4) $^{2-1}$ + 4 = 4 × 4 + 4 = 20

B). f(x) = 4(4) $^{(2-1)}$ - 4

f(2) = 4(4) $^{2-1}$ - 4 = (4)(4) - 4 = 16 - 4 = 12

C). f(x) = 1/4(4) $^{x-1}$ +4

1/4(4) $^{2-1}$ + 4 = $\frac{1}{4}$ × 4 + 4

= 1 + 4 = 5

D). f(x) = $\frac{1}{4}(4)^{x-1}-4$

f(2) = $\frac{1}{4} (4)^{2-1}-4=\frac{1}{4}(4)-4$

= 1 - 4 = -3

We find option D in which f(2) = (-3). so the answer would be option D.

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