SOLUTION: What are and HOW would I find the x and y intercepts, domain and range, and graph of y=sinx, -2pi less than or equal to x less than or equal to positive 2pi I don't have the sy

Algebra ->  Trigonometry-basics -> SOLUTION: What are and HOW would I find the x and y intercepts, domain and range, and graph of y=sinx, -2pi less than or equal to x less than or equal to positive 2pi I don't have the sy      Log On


   



Question 1090262: What are and HOW would I find the x and y intercepts, domain and range, and graph of y=sinx, -2pi less than or equal to x less than or equal to positive 2pi
I don't have the symbols with the equal to sign included but to verify the equation is : y=sinx, -2pi < x < 2pi

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
+y=sin%28x%29+, +-2pi+%3C=+x+%3C=+2pi+
The domain is the possible x values and is specified as +-2pi+%3C=+x+%3C=+2pi+ ( without qualifications, the domain of "sin(x)" is all real x values, however, some will say this problem is domain restricted to -2pi+%3C=+x+%3C=+2pi+ )
The range is all the values y can take on for values of x in its domain. Since y=sin(x) can only take on values between -1 and 1 inclusive, the range is +-1+%3C=+y+%3C=+1+

The y intercept is found by setting x=0: y = sin(0) = 0
y intercept is +highlight%280%29+

The x intercept(s) are found by setting y=0: 0 = sin(x)
Where does sin(x) = 0?
At +x=0+, +x=-pi+, +x=-2pi, +x=pi, and +x=2pi+
x intercepts are +highlight%28x=0%29+, +highlight%28x=-pi%29+, +highlight%28x=-2pi%29, +highlight%28x=pi%29, and +highlight%28x=2pi%29+


A graph may help with the visualization:

+%0D%0A++graph%28+300%2C+300%2C+-6.283%2C+6.283%2C+-2%2C+2%2C+sin%28x%29+%29%0D%0A%0D%0A