Question

write the x value for each relative maximum and relative minimum.(please label your answers as relative min or relative max)

Answer 1

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:

`x=-3,x=3`

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