5. How do the functions y = 2 sin x, y= 1/2sin x and y = 4sin 2x compare with the function y sin x?. In order to answer this questions, you must draw the graph for each function on he same graph. You must compute a table of values for each with the values of x = 0°, т/6, п/3, п/2, 2п/3, 5п/6, п, 7п/6, 4/3, Зт/2, 5T/3, 11 п/6, 2п. (а) You must complete the ollowing table for the given vales of x: T/ TT/ TT/ 2 5 TT 4 3 11 2 TT/6 3 2 TT/ TT/ 16 TT/ TT/ TT/ TT 3 3 y=sin x y= 2sin
5. How do the functions y = 2 sin x, y= 1/2sin x and y = 4sin 2x compare with the function y sin x?. In order to answer this questions, you must draw the graph for each function on he same graph. You must compute a table of values for each with the values of x = 0°, т/6, п/3, п/2, 2п/3, 5п/6, п, 7п/6, 4/3, Зт/2, 5T/3, 11 п/6, 2п. (а) You must complete the ollowing table for the given vales of x: T/ TT/ TT/ 2 5 TT 4 3 11 2 TT/6 3 2 TT/ TT/ 16 TT/ TT/ TT/ TT 3 3 y=sin x y= 2sin
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Transcribed Image Text:5. How do the functions y = 2 sin x, y= 1/2sin x and y = 4sin 2x compare with the function y
= sin x?. In order to answer this questions, you must draw the graph for each function on
the same graph. You must compute a table of values for each with the values of x = 0°,
п/6, п/3, т/2, 2п/3, 5тI/6, п, 7п/6, 4тт/3, Зтп/2, 5тт/3, 11 т1/6, 2тт. (а) You must complete the
following table for the given vales of x:
%3D
X
TT/
TT/
TT/
2
5
TT
7TT
4
3
11
2
TT/6
3
2
TT/
/6
TT/
TT/
TT/
TT
3
6
3
2
3
y=sin x
y= 2sin
O o
Transcribed Image Text:y =4sin
2х
y = ½sin
(b) After completing the above table the draw the graphs for each defined function on the
same graph (c) What is the maximum and minimum for each of the functions? Hint: For the
function y = a sin x, the maximum function value is Ja| and the minimum function value is -laj.
(d) What is the amplitude for each function?
(e) What are the ranges for each function?
(f) What is the period for each function?
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