Question

The piecewise function f(x) is defined below. What is the value of f(–2)?

A. f(–2) = –6
B. f(–2) = –4
C. f(–2) = 0
D. f(–2) = 3

Answer 1

`f(-2)=3`, because
`f(x)=3` for
`-2\leq x\ \textless \ 0`

Answer 2

D.
`f(-2)=3`

Step by step explanation:

We have been given a piece wise function:

`f{x}=\left\{\begin{matrix}-x^(2); &x< -2 \\3;&-2\leq x< 0\\x+2; & x\geq 0\end{matrix}\right`

We are asked to find value of f(-2).

In our piece function when we will input values of x less than -2(
`x<-2`) , it will give us output as
`-x^(2)`

For values greater than or equal to 0 our function will give output as x+2.

We can see from our piece wise function that when x is greater than or equal to -2 and less than 0 our function gives a constant output, that is 3.

Therefore,
`f(-2)=3` and option D is the correct choice.