Question

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


x f(x)
3 10
4 16
5 28
f(x) = 3(2)x − 2 + 4

f(x) = 3(2)x − 2 − 4

f(x) = one third(2)x − 2 + 4

f(x) = one third(2)x − 2 − 4

Answer 1

@halorazer @ash2326

Answer 2

@nincompoop

Answer 3

@ganeshie8 plsss help meee

Answer 4

@Rina.r

Answer 5

test each option

Answer 6

lets test option A :-

\(\large f(x) = 3*(2)^{x − 2} + 4\)

Answer 7

test below values in that function. and see if EVERY pair satisfies it.

x f(x)
3 10
4 16
5 28

Answer 8

put x = 3 in the function, do u get 10 ?
\(\large f(x) = 3*(2)^{3 − 2} + 4 = 3*(2)^1 + 4 = 6 + 4 = 10 ~~\color{green}{\checkmark}\)

put x = 4 in the function, do u get 16 ?
\(\large f(x) = 3*(2)^{4 − 2} + 4 = 3*(2)^2 + 4 = 12 + 4 = 16 ~~\color{green}{\checkmark}\)

put x = 5 in the function, do u get 28 ?
\(\large f(x) = 3*(2)^{5 − 2} + 4 = 3*(2)^3 + 4 = 24 + 4 = 28~~\color{green}{\checkmark}\)

Answer 9

so option A is the correct funciton that models the given table of data.

Answer 10

see if that makes some sense

Answer 11

sorry i had went back to the test i jst came back thankyou i understand!