From personal advice to professional guidance, IDNLearn.com has the answers you seek. Join our knowledgeable community and get detailed, reliable answers to all your questions.

Graph two full periods, highlighting the first period using bold marking and analyze each function.Y = 2 sin (1/2 (x + pi/2) ) + 1

Graph Two Full Periods Highlighting The First Period Using Bold Marking And Analyze Each FunctionY 2 Sin 12 X Pi2 1 class=

Sagot :

Given

[tex]y=2\sin(\frac{1}{2}(x+\frac{\pi}{2}))+1[/tex]

Procedure

Period: 4pi

Interval length: In the graph 2 periods 8pi

Phase shift: -pi/2

1st Per. begins: -pi/2

1st Per. ends: 7pi/2

Amplitude: 2

Domain:

(-∞, ∞)

Range:

[-1,3]

y-intercep:

(0,2.414)

x-intercept:

[tex]x=\frac{11\pi}{6}+4\pi n,\frac{19\pi}{6}+4\pi n,\text{ for any integer of n }[/tex]

View image AdilineO219167