Question

Piecewise defined function.

f(x) = {-x^2+2x+2 if

`x \leqslant - 5`

{-3/4x+3 if

`x > 1`

find what f(-5) = ​

Answer 1

f(-5) = -33

Explanation:

f(x) = {-x^2+2x+2 if x ≤ - 5

{-3/4x+3 if x > 1

find what f(-5) = ​

If x=-5, we use the first equation

f(-5) = -x^2+2x+2 since it has the equal to part

= - (-5)^2 +2(-5) +2

= -25 -10+2

= -35+2

=-33