Question

Evaluate ƒ(x) when x = 6.

A. 6 (NOT the answer)
B. 12
C. 74
D. 218

Answer 1

after trying to do it the hard way, i remembered the easy way.

substitution:

because x = 6 and 6 is in the range of -6 < x < 9, we only need the equation 6x^(2) + 2

f(x) = 6x^(2) + 2
f(6) = 6(6)^(2) + 2
f(6) = 6(36) + 2
f(6) = 216 + 2
f(6) = 218

Answer 2

The value of f(x) at x=6 is
`f(6) = 218`

Therefore, the correct option is D) 218

Explanation:

We need to solve the value of f(x) at x=6

Given step function is
`f(x)=6x^(2)+2` for the range of -6 < x < 9

( 6 is in this range)

Substitute the value x=6 in
`f(x)=6x^(2)+2` :

`f(x) = 6x^(2) + 2`

`f(6) = 6(6)^(2) + 2`

`f(6) = 6* 36+ 2`

`f(6) = 216+ 2`

`f(6) = 218`

Hence, the value of f(x) at x=6 is
`f(6) = 218`

Therefore, the correct option is D) 218