1. select all points where relative maximum values occur on this graph of a polynomial function.
1. select all points where relative maximum values occur on this graph of a polynomial function.
Answer
Explanation:
Step1: Recall the definition of relative maximum
A relative maximum of a function is a point where the function changes from increasing to decreasing.
Step2: Analyze the graph
Looking at the graph of the polynomial function:
- Point (B) is a relative minimum (function changes from decreasing to increasing).
- Points (A), (C), (E), (G), (H) are not relative maxima ( (A) and (C) are (x -) intercepts, (E) is a relative minimum, (G) is an (x -) intercept, (H) is just a point on the curve with no change from increasing to decreasing).
- Point (D): The function is increasing before (D) and decreasing after (D).
- Point (F): The function is increasing before (F) and decreasing after (F).
Answer:
D. (D), F. (F)