Problem preview
F-TF.5 Warmup M3-036-A01-V01

Choose trig functions to model periodic phenomena using amplitude, frequency, and midline.

Find the amplitude of a sinusoid from its maximum and minimum values

Problem

What is the amplitude of a sinusoid with these graph features: \(\text{maximum}~9\), \(\text{minimum}~3\)?

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What this problem is really about

Amplitude measures the distance from a sinusoid's centerline to either extreme, not the entire top-to-bottom span. Subtract the minimum from the maximum and halve that vertical distance. As a check, average the extremes to find the midline and confirm that each extreme lies the same nonnegative distance from it.

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Four variants of this problem type
Curriculum context
Course
Math III
Standard
F-TF.5
Category
Functions
Domain
Trigonometric Functions
Objective
Choose trig functions to model periodic phenomena using amplitude, frequency, and midline.
Problem type
Find the amplitude of a sinusoid from its maximum and minimum values