Chapter 4.7, Problem 38PPS

To determine

To Find:

The equation of the graph from the given options.

Answer to Problem 38PPS

Option C is correct match.

Explanation of Solution

Given Information:

The graph is :

  

Concept Used:

ABSOLUTE VALUE FUNCTION :

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

It is “V” shaped.

Parent Function : $f(x)=\left|x\right|=\{\begin{array}{l}x;x>0\\ -x;x\le 0\end{array}$

Domain : All real numbers

Range : All non-negative real numbers

Graph :

   $f(x)=\left|x\right|$

Calculation:

The given graph is “V” shape and hence an Absolute Value Function.

The function has minimum value at (0,-1) and hence it matches the option C

Equation is :

  $y=\left|2x\right|-1$