QuestionFind $f(0)$ for the piecewise function $f(x)=\left\{\begin{array}{ll} x-4 & \text{if } x<2 \\ 8-x & \text{if } x \geq 2 \end{array}\right.$ .

Studdy Solution

STEP 1

Assumptions1. The function $f(x)$ is defined piecewise, with different expressions for $x<$ and $x \geq$ . . We are asked to evaluate the function at $x=0$ .

STEP 2

First, we need to determine which part of the piecewise function to use. Since we are evaluating the function at $x=0$ , and $0<2$ , we use the first part of the piecewise function.
$f(x) = x -4 \text{ for } x<2$

STEP 3

Now, we substitute $x=0$ into the expression.
$f(0) =0 -$

STEP 4

Finally, we calculate the value of the function at $x=0$ .
$f(0) =0 -4 = -4$ So, $f(0) = -4$ .

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms