Math Snap

STEP 1

Assumptions1. The function $f(x)$ is defined as a piecewise function with three different expressions for different ranges of $x$.
. We need to find the values of $f(x)$ for $x=-1$, $x=0$, and $x=4$.

STEP 2

We start by finding $f(-1)$. Since $-1$ is less than $0$, we use the expression $x^{2}$.
$$f(-1) = (-1)^{2}$$

STEP 3

Calculate the value of $f(-1)$.
$$f(-1) = (-1)^{2} =1$$

STEP 4

Next, we find $f(0)$. Since $0$ is equal to $0$, we use the expression $0$.
$$f(0) =0$$

STEP 5

Calculate the value of $f(0)$.
$$f(0) =0$$

STEP 6

Finally, we find $f(4)$. Since $4$ is greater than $0$, we use the expression $3x+3$.
$$f(4) =3(4) +3$$

Calculate the value of $f(4)$.
$$f(4) =3(4) +3 =15$$So, $f(-1) =1$, $f(0) =0$, and $f(4) =15$.