Question

The equation of the piecewise function f(x) is below. What is the value of f(3)?

Answer 1

Option B: 5 is the value of f(3)

Explanation:

The equation of the piecewise function is given by

$f(x)=\left\{\begin{aligned}-x^{2}, & x$

We need to find the value of $f(3)$

The value of the function f can be determined when $x=3$ by identifying in which interval does the value of $x=3$ lie in the piecewise function.

Thus, $x=3$ lies in the interval $x\geq 0$ , the function f is given by

$f(x)=x+2$

Substituting $x=3$ in the function $f(x)=x+2$, we get,

$f(3)=3+2$

$f(3)=5$

Thus, the value of $f(3)$ is 5.

Therefore, Option B is the correct answer.