Question

Evaluate f(-2) for the function f(x)= -1/2x^2 + x + 1

Answer 1

f(-2) = -3

Explanation:

`f(x)=-(1)/(2) x^(2) +x+1`

Just plug in x = -2

`f(-2)=-(1)/(2) (-2)^(2) -2+1`

`f(-2)=-(1)/(2) (4) -1`

4 can be rewritten as
`(4)/(1)` or
`(8)/(2)` so it has a common denominator.

`f(-2)=-(1)/(2) * (8)/(2) -1`

`f(-2)=-(4)/(2) -1`

`f(-2)=-2-1`

`f(-2)=-3`