Question

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

Answer 1

Answer:

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($x$) , 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.

Answer 2

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