Is my answer correct for a value of x where two (or more) values of y can be assigned in siny=x? Any tips are helpful, thank you!

Question

Provide a specific value of x where two (or more) values of y can be assigned for the example which is not a function:

siny=x

Note: when I choose x=1, some of the values I get are pi/2, 5pi/2, and 9pi/2.

I used the vertical line test to see those values being touched by the line and I also used the equation, y=pi/2+2pi n (I plugged integers for n).

I just want to double-check my work since this new topic that we are learning tends to confuse me a little in class. Any tips are helpful!

Thank you! :D

Answer 1

Usually the function is sin(x) = y

If sin(y) = x, then any value of x between -1 and 1 can be produced by infinitely many input values.

If sin(x) = y, then there are no values of x that can have two or more outputs because it is a function.