Consider the functiony=−2 sin (2x−π)for−π≤x≤3.(a) State the amplitude, period and phase shift, for this function.(b) Solve−2 sin (2x−π) = 0for−π≤x≤3to find the horizontal intercepts (x-intercepts)of the function.(c) Using the properties of trigonometric functions, compute the values ofxfor which themaximum and the minimum values of the function occur.(d) State the range of the function as an interval.(e) Using the information obtained in (a)–(d), draw the graph ofy=−2 sin (2x−π)for−π≤x≤3.
Consider the functiony=−2 sin (2x−π)for−π≤x≤3.(a) State the amplitude, period and phase shift, for this function.(b) Solve−2 sin (2x−π) = 0for−π≤x≤3to find the horizontal intercepts (x-intercepts)of the function.(c) Using the properties of trigonometric functions, compute the values ofxfor which themaximum and the minimum values of the function occur.(d) State the range of the function as an interval.(e) Using the information obtained in (a)–(d), draw the graph ofy=−2 sin (2x−π)for−π≤x≤3.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the functiony=−2 sin (2x−π)for−π≤x≤3.(a) State the amplitude, period and phase shift, for this function.(b) Solve−2 sin (2x−π) = 0for−π≤x≤3to find the horizontal intercepts (x-intercepts)of the function.(c) Using the properties of trigonometric functions, compute the values ofxfor which themaximum and the minimum values of the function occur.(d) State the range of the function as an interval.(e) Using the information obtained in (a)–(d), draw the graph ofy=−2 sin (2x−π)for−π≤x≤3.
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