Question

question 9 of 10
which of the following is most likely to be a relative maximum for this graph?
a. (3,0)
b. (2,-4)
c. (-1,8)
d. (-2,0)

Explanation:

Step1: Recall the definition of a relative maximum

A relative maximum is a point on the graph where the function changes from increasing to decreasing. It is a "peak" in the local area of the graph.

Step2: Analyze each option

• Option A: \((3,0)\) is an \(x -\)intercept (where \(y = 0\)), not a relative maximum.
• Option B: \((2,-4)\) is a local minimum (a "valley" where the function changes from decreasing to increasing).
• Option C: \((-1,8)\) is a point where the function changes from increasing to decreasing.
• Option D: \((-2,0)\) is an \(x -\)intercept (where \(y = 0\)), not a relative maximum.

Answer:

C. \((-1,8)\)