the function ( f(x) ) is graphed below. how many points on the graph represent a relative maximum?
the function ( f(x) ) is graphed below. how many points on the graph represent a relative maximum?
Answer
Explanation:
Step1: Recall the definition of relative maximum
A relative maximum of a function (y = f(x)) is a point ((x_0,y_0)) on the graph of the function such that (y_0\geq f(x)) for all (x) in some open interval containing (x_0). Visually, it is a "peak" on the graph.
Step2: Identify the peaks on the graph
Looking at the graph of (y = f(x)), we can see that there are two points that satisfy the condition of a relative maximum. These points are labeled (b) and (e) on the graph.
Answer:
(2)