Business calculus

Question

You are given the graph of a function f. Determine the relative maxima and relative minima, if any.

The graph looks like....

\/\/

the bottom points are -4 and 4 the top point is 2.

relative minimum smaller x value (x,y)= (______)

relative minimum larger x-value (x,y)= (______)

relative maximum (x,y)= (_______)

Answer 1

You have a relative minimum if a function is continuous and the value increases as you move away from the point. You have a relative maximum if a function is continuous and the value is decreasing as you move away from the point.

What you refer to as bottom points are relative minima and what you refer to as top points are relative maxima.