Problem preview
F-TF.5 Warmup M3-036-A02-V01

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

Find the midline of a sinusoidal function from its maximum and minimum values

Problem

What is the midline of a sinusoid with these graph features: \(\text{maximum}~8\), \(\text{minimum}~2\)?

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What this problem is really about

The midline is the horizontal level exactly halfway between a sinusoid's maximum and minimum. Average those two output values, then verify that the result is equally far from both extremes. Since the requested object is a horizontal line rather than just a height, state it as an equation involving the output variable.

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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 midline of a sinusoidal function from its maximum and minimum values