QuestionFind $f(-1)$ for the piecewise function defined as $f(x)=3x+2$ if $x<0$ and $f(x)=3x+5$ if $x \geq 0$ .

Studdy Solution

STEP 1

Assumptions1. The function $f(x)$ is defined as a piecewise function. . For $x<0$ , the function is defined as $f(x) =3x +$ .
3. For $x \geq0$ , the function is defined as $f(x) =3x +5$ .

STEP 2

We are asked to find the value of the function when $x = -1$ . Since $-1$ is less than $0$ , we use the first part of the piecewise function to find $f(-1)$ .
$f(-1) =(-1) +2$

STEP 3

Calculate the value of $f(-1)$ .
$f(-1) =3(-1) +2 = -3 +2 = -1$ So, $f(-1) = -1$ .

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