Relative maximum is the point where the function changes direction from increasing to decreasing. Looks like a peak.
Relative minimum is the point where the function changes direction from decreasing to increasing. Looks like a valley or cusp.
Now, we can clearly see the two peaks of the function. They occur at x-values of:
[tex]x=-3,x=3[/tex]
Now, the sharp turn (cusp) occurs at the y-axis, or at x = 0, which is the relative minimum.
Hence,
Rel Max occurs at x = 3 and x = -3
Rel Min occurs at x = 0
