Question

In which function is x = 2 mapped to 32?

A. f(x) = -3x^2-4
B. g(x) = 4(x+3)^2-68
C. h(x) = 3x
D. j(x) = 2x-62

Answer 1

B. Let P(x) be any polynomial, take P(2)
if P(2)=32 then that is ur answer

Answer 2

Option B -
`g(x) = 4(x+3)^2-68`

Explanation:

Given : Function is x = 2 mapped to 32.

To find : Which function is it ?

Solution : We put x=2 in every function and which result to 32 is the answer.

A.
`f(x) = -3x^2-4`

`f(2) = -3(2)^2-4`

`f(2) = -3(4)-4`

`f(2) = -12-4`

`f(2) = -16`

B.
`g(x) = 4(x+3)^2-68`

`g(2) = 4(2+3)^2-68`

`g(2) = 4(5)^2-68`

`g(2) = 4(25)-68`

`g(2) = 100-68`

`g(2) = 32`

C.
`h(x) = 3x`

`h(2) = 3(2)`

`h(2) = 6`

D.
`j(x) = 2x-62`

`j(2) = 2(2)-62`

`j(2) = 4-62`

`j(2) =-58`

Option B -
`g(x) = 4(x+3)^2-68` gave you the result
`g(2) = 32`

Therefore, Option B is correct.