Chapter 8.4, Problem 79E

To determine

To find whether your friend is correct or not.

Answer to Problem 79E

No, he is incorrect.

Explanation of Solution

Given:

The friend says all absolute functions are even because of their symmetry.

Calculation:

No, my friend is incorrect.

Counter example:-

  $y=\left|x-1\right|$

The above function is symmetric around $x=1$ not $x=0$

Note: $f(1)=0\ne f(-1)=2$ this implies that f is not an even function.