How are trigonometric functions graphed to show the period, midline, and amplitude?

How can a trigonometric function be chosen to model periodic phenomena with specified amplitude, frequency, and midline?

How does replacing f (x) with f (x) + k, k f (x), f (kx), and f (x + k) for specific values of k (both positive and negative) affect the graph?

How does a function model the relationship between two quantities?

What is the rate of change of a function over a specified interval?

How can a function fitted to data be used to solve problems?

Question

Jorge Schroeder

Mathematics

31 October, 09:50

How are trigonometric functions graphed to show the period, midline, and amplitude?

How can a trigonometric function be chosen to model periodic phenomena with specified amplitude, frequency, and midline?

How does replacing f (x) with f (x) + k, k f (x), f (kx), and f (x + k) for specific values of k (both positive and negative) affect the graph?

How does a function model the relationship between two quantities?

What is the rate of change of a function over a specified interval?

How can a function fitted to data be used to solve problems?

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Answers (1)

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Samuel Henderson · Answer 1

Choose trigonometric functions to model periodic phenomena with specified ... + C) + D can be introduced, where A is the amplitude, 2π ⁄|B| is the period, C is the ... Students should also know that the midline is halfway between the maximum and minimum values of the graphs.