Question

Find f (-4) in this equation

Answer 1

f(-4) = -6

Explanation:

- From the step wise function given, -4 is in range of the first function;

`{ \tt{f(x) = - {(x + 1)}^(2) + 3 }} \\ \\ { \tt{f( - 4) = - \{( - 4) + 1) {}^(2) + 3}} \\ \\ { \tt{f( - 4) = - ( - 3) { }^(2) + 3}} \\ \\ { \tt{f( - 4) = - 9 + 3}} \\ \\ { \tt{f( - 4) = - 6}}`

Answer 2

f(- 4) = - 6

Explanation:

f(- 4) with x = - 4 is in the interval - 4 ≤ x < - 1 , then f(x) = - (x + 1)² + 3

thus

f(- 4) = - (- 4 + 1)² + 3

= - (- 3)² + 3

= - 9 + 3

= - 6

then f(- 4) = - 6