Sketch at least one cycle of the graph of the fun phase shift, and range of the function. Identify five points on the graph. T The phase shift is (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) 4 The range of the function is [-1,1]. (Simplify your answer. Type your answer in interval notation.) The five basic points of the fundamental cycle of y=sin (x) are transformed to five points on the π The point 1 transforms to the point (0,1). graph of the given function. The point (0,0) transforms to the point (Type an ordered pair. Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The point (,0) transforms to the point π (Type an ordered pair. Simplify your answer. Type an exact answer, using it as needed. Use integers or fractions for any numbers in the expression.) R4 .0 T (Type an ordered pair. Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) Зл The point -1 transforms to the point 2 (Type an ordered pair. Simplify your answer. Type an exact answer, using x as needed. Use integers or fractions for any numbers in the expression.)

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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Question
T
Sketch at least one cycle of the graph of the function y = sin 2x+ 4
phase shift, and range of the function. Identify five points on the graph.
T
The phase shift is
(Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any
numbers in the expression.)
T
4
The range of the function is [-1,1].
(Simplify your answer. Type your answer in interval notation.)
The five basic points of the fundamental cycle of y = sin (x) are transformed to five points on the
graph of the given function. The point (0,0) transforms to the point
(Type an ordered pair. Simplify your answer. Type an exact answer, using as needed. Use
integers or fractions for any numbers in the expression.)
3n
Determine the period,
T
TU
The point,
transforms to the point (0,1).
(Type an ordered pair. Simplify your answer. Type an exact answer, using as needed. Use
integers or fractions for any numbers in the expression.)
,0
The point (,0) transforms to the point
(Type an ordered pair. Simplify your answer. Type an exact answer, using as needed. Use
integers or fractions for any numbers in the expression.)
The point -1 transforms to the point
2'
(Type an ordered pair. Simplify your answer. Type an exact answer, using x as needed. Use
integers or fractions for any numbers in the expression.)
Transcribed Image Text:T Sketch at least one cycle of the graph of the function y = sin 2x+ 4 phase shift, and range of the function. Identify five points on the graph. T The phase shift is (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) T 4 The range of the function is [-1,1]. (Simplify your answer. Type your answer in interval notation.) The five basic points of the fundamental cycle of y = sin (x) are transformed to five points on the graph of the given function. The point (0,0) transforms to the point (Type an ordered pair. Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) 3n Determine the period, T TU The point, transforms to the point (0,1). (Type an ordered pair. Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) ,0 The point (,0) transforms to the point (Type an ordered pair. Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The point -1 transforms to the point 2' (Type an ordered pair. Simplify your answer. Type an exact answer, using x as needed. Use integers or fractions for any numbers in the expression.)
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