Question

Can you give me two examples of a absolute value parent function

Answer 1

SOLUTION:

Step 1:

In this question, we are given the following:

Can you give me two examples of an absolute value parent function?

Step 2:

What is the parent function for absolute value?

An absolute value function is a function that contains an algebraic expression within absolute value symbols. Recall that the absolute value of a number is its distance from 0 on the number line.

Examples include:

1. The absolute value parent function, written as: f(x)=| x |, is defined as:f(x)={x if x>00 if x=0−x if x<0.

$f(x)\text{ =}\lvert x\rvert$

, is defined as:

$f(x)\text{ =}\lvert x\rvert$

$\begin{gathered} f(x)\text{ =}\lvert x\rvert \\ \text{if x > 0, then f(x) = x} \\ \text{if x < 0, then f(x) = x} \end{gathered}$

2. The second example of absolute value function is:

$f(x)\text{ =}\lvert\sin x\rvert$