Question

question 7 of 10
the function whose graph is shown below has the following characteristics.

• two absolute minima
• one relative maximum

a. true
b. false

Explanation:

Step1: Recall definitions of absolute minima and relative maximum

Absolute minimum: The lowest point(s) on the entire graph (lowest y - value). Relative maximum: A point where the function changes from increasing to decreasing (a "peak" in a local region).

Step2: Analyze the graph

• Absolute minima: The two lowest points (the two "valleys") on the graph. They have the same y - value (the lowest y - coordinate), so there are two absolute minima.
• Relative maximum: The peak at \(x = 0\) (the highest point in its local neighborhood) is a relative maximum. So the function has two absolute minima and one relative maximum.

Answer:

A. True