In the third graph is absolute value function option (C) is correct after using the concept of graph theory.
What is co-ordinate geometry?
Coordinate geometry is defined as the study of geometry using coordinate points.
Coordinate geometry is required to provide a link between algebra and geometry through the use of line and curve graphs.
Given that:
The parent absolute value function is defined as
f(x)=IxI where x is any real number.
The features of the parent absolute value function are :
1. Domain=(-∞,∞).
2. The function decreases on the interval (-∞,0].
3. The function increases on the interval [0,∞).
4. The function is even because f(-x)=f(x) for any value of x.
5. The graph of an absolute value function is a V-shaped unbroken curve.
So, it is a continuous function.
Therefore, the third graphs are absolute value functions.
Learn more about co-ordinate geometry here:
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