Notice that |x| means the absolute value of x. So, the function:
[tex]f(x)=|x|[/tex]takes x to the number with the same magnitude, but with a positive sign.
Thus,
[tex]f(-5)=|-5|=5[/tex]Therefore, the point (-5,5) is on the graph of f(x).
Now, we need to find another point with a y-value of 5.
Observe the graph of f(x):
Notice that another point with a y-value equal to 5 is (5, 5) because
[tex]f(5)=|5|=5[/tex]Therefore, the coordinates of that other point are: (5,5).
