Back to Interpret key features of graphs — Problem 5 · Task Set 8

Exercises: Interpret Key Features of Graphs

Work through each section in order. Show your work where indicated.

Grade 9·20 problems·~30 min·Common Core Math - HS Functions·group·hsf-if-b-4

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Fluency Practice

A graph shows two peaks: one at $(2, 15)$ and one at $(6, 20)$ . A student says the relative maximum is at $(6, 20)$ because it is the absolute highest point visible. Is the student correct?

Yes — the relative maximum must be the highest point on the entire graph.

Partially — $(6, 20)$ is a relative maximum, but $(2, 15)$ is also a relative maximum because it is higher than all nearby points, even though it is not the highest overall.

No — neither point is a relative maximum because the function has a global maximum somewhere else.

No — a graph can have at most one relative maximum.