question 6 of 10 which of the following is most likely to be a relative maximum for this graph? a. (3,0) b…
question 6 of 10 which of the following is most likely to be a relative maximum for this graph? a. (3,0) b. (-2,0) c. (-1,8) d. (2,-4)
Answer
Explanation:
Step1: Recall relative - maximum definition
A relative maximum is a point on the graph where the function changes from increasing to decreasing.
Step2: Analyze each point
- For point A. $(3,0)$: The function is decreasing before and after this point, not a relative maximum.
- For point B. $(-2,0)$: The function is increasing before and decreasing after this point, but we need to check all options.
- For point C. $(-1,8)$: The function is increasing before $x = - 1$ and decreasing after $x=-1$, and the $y$-value is higher than other candidate points.
- For point D. $(2,-4)$: The function is decreasing before and increasing after this point, so it's a relative minimum.
Answer:
C. (-1,8)