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HSF.IF.B.4 Tutor Intake — Key Features of Graphs

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Grade 9·12 problems·~14 min·Common Core Math - HS Functions·group·hsf-if-b-4

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Concepts

A graph of $f(x)$ has three peaks. The leftmost peak reaches $y = 8$ , the
middle peak reaches $y = 15$ , and the rightmost peak reaches $y = 11$ .

Which of the following is true?

Only the middle peak ( $y = 15$ ) is a relative maximum because it is the
highest point on the graph.

All three peaks are relative maxima because each one is higher than the
points immediately around it.

None of the peaks is a relative maximum unless the function is a parabola.

The leftmost and rightmost peaks are not maxima because they are lower
than the middle peak.