How would i graph: . ?
Square both sides: .
This is a circle: center at the origin, with radius
Then: . .is the upper semicircle.
The domain consists of all legal values for x given that the function must be a real number. So, must be nonnegative. For what values of x is this true?
The range consists of all the values the function can take on its domain. To start, consider what the largest possible value for would be. Can the function give a negative result?
The zeroes of the function will be the same as the zeroes of . For what values of x is the function equal to zero?
Whether or not the function is even or odd depends on whether or not or , respectively.
Given that , is either of these statements true?
If the function is periodic with period p, then for every integer n. Is a semicircle periodic?
If the function is one-to-one, then every y value must be matched by exactly one x value. Is this the case for a semicircle?