. In the Gizmo, select sine wave so the parent function is f(x) = sin (x). A. The sine wave is a periodic function, meaning its y-values repeat at constant intervals. (The period is the length of the interval before the values repeat again.) Approximately what is the period of the sine curve? B. Drag the a slider. What happens to the graph as a changes? 4 y D. What happens to the graph when a is negative? 2 f(x) = sin(x) Amplitude is half the distance between the maximum and minimum y-values of a periodic curve, such as the sine wave function. C. How does the value of a relate to the amplitude?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. In the Gizmo, select sine wave so the parent function is f(x) = sin (x).
A. The sine wave is a periodic function, meaning its y-values
repeat at constant intervals. (The period is the length of the
interval before the values repeat again.)
Approximately what is the period of the sine curve?
B. Drag the a slider. What happens to the graph as a changes?
2
D. What happens to the graph when a is negative?
y
-2
f(x) = sin(x)
Amplitude is half the distance between the maximum and minimum y-values of a
periodic curve, such as the sine wave function.
C. How does the value of a relate to the amplitude?
Transcribed Image Text:1. In the Gizmo, select sine wave so the parent function is f(x) = sin (x). A. The sine wave is a periodic function, meaning its y-values repeat at constant intervals. (The period is the length of the interval before the values repeat again.) Approximately what is the period of the sine curve? B. Drag the a slider. What happens to the graph as a changes? 2 D. What happens to the graph when a is negative? y -2 f(x) = sin(x) Amplitude is half the distance between the maximum and minimum y-values of a periodic curve, such as the sine wave function. C. How does the value of a relate to the amplitude?
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