Definitions of Relative Minimum & Relative Maximum

[nycmathguy]

Section 1.5
Page 53

See attachment.

Can you explain the following using words? I am trying to make sense of the relative min and relative max definitions.

 

[MathLover1]

A relative maximum point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph).
Similarly, a relative minimum point is a point where the function changes direction from decreasing to increasing (making that point a "bottom" in the graph).

 

[nycmathguy]

A relative maximum point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph).
Similarly, a relative minimum point is a point where the function changes direction from decreasing to increasing (making that point a "bottom" in the graph).

We can say a relative max is the top of a mountain.
We can also say that a relative min is the valley.

Yes?