Question

Which of the following equals 8 when you evaluate f(2) ? Select all that apply

A) f(x)=2x+1

B) f(x)=3x-2

C) f(x)=x(5x-2)

D) f(x)=3x-2x+4

E) f(x)=|x-8|+2

Answer 1

E)
`f(x)=|x-8|+2`

Explanation:

We will check each of the given choices by finding
`f(2)` of the given functions.

In order to find
`f(2)`, we plugin
`x=2` in the function.

A)
`f(x)=2x+1`

`f(2)=2(2)+1`

`f(2)=4+1`

`f(2)=5`

B)
`f(x)=3x-2`

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

`f(2)=6-2`

`f(2)=4`

C)
`f(x)=x(5x-2)`

`f(2)=2(5(2)-2)`

`f(2)=2(10-2)`

`f(2)=2(8)`

`f(2)=16`

D)
`f(x)=3x-2x+4`

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

`f(2)=6-4+4`

`f(2)=6`

E)
`f(x)=|x-8|+2`

`f(2)=|2-8|+2`

`f(2)=|-6|+2`

`f(2)=6+2` [Since absolute value of any number is positive]

`f(2)=8`

So, the function in E has value =8 for
`f(2)`