1. Determine the amplitude, the period, and phase shift for the given functions. Graph the function over one period. Indicate the x-intercepts and the coordinates of the highest and lowest points on the graph. Use the graph to determine the domain and range of each function. a) y-sin(2.x) 3 IT X -sin(2rx) 4 с) у--2сos(лх +л) b) y= 2sin +1 4 IT d) y=1- cos| 2x- 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 29E
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1. Determine the amplitude, the period, and phase shift for the given functions.
Graph the function over one period. Indicate the x-intercepts and the
coordinates of the highest and lowest points on the graph. Use the graph to
determine the domain and range of each function.
3
a) y =
JT X
b) y= 2sin
IT
sin(2zx)
-sin(2xx)
с) у--2сos(лх+л)
%3D
4
d) у%3D1-сos| 2x-
Transcribed Image Text:1. Determine the amplitude, the period, and phase shift for the given functions. Graph the function over one period. Indicate the x-intercepts and the coordinates of the highest and lowest points on the graph. Use the graph to determine the domain and range of each function. 3 a) y = JT X b) y= 2sin IT sin(2zx) -sin(2xx) с) у--2сos(лх+л) %3D 4 d) у%3D1-сos| 2x-
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