Question 764040: a) identify it as odd or even
b) give the period
c) give the amplitude, the minimum and maxium
d) graph the function.
1. y=1+cos x
2. y= -1+3sin(2x)
i know this has already been asked, but i am so very confused.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! a) identify it as odd or even
b) give the period
c) give the amplitude, the minimum and maxium
d) graph the function.
1. y=1+cos x
2. y= -1+3sin(2x)
***
Equation of cos function: y=Acos(Bx-C), A=amplitude, Period=2π/B, Phase shift=C/B
Equation of sin function: y=Asin(Bx-C), A=amplitude, Period=2π/B, Phase shift=C/B
..
a) identify it as odd or even
(y=1+cos x) is an even function: (cos(x)=cos(-x)
(y= -1+3sin(2x)) is an odd function: (sin(x)=-sin(-x)
..
b) give the period
(y=1+cos x)
B=1
Period=2π/B=2π
..
y= -1+3sin(2x)
B=2
Period=2π/B=π
..
c) give the amplitude, the minimum and maxium
(y=1+cos x)
Amplitude: max=2, min=0
..
y= -1+3sin(2x)
Amplitude: max=2, min=-4
..
d) graph the function.
see graphs below:
(y=1+cos x)
..
y= -1+3sin(2x)
|
|
|
