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## Homework Statement

R = all real numbers

F(x) = { y in R : sin(y) = x}

1. Is F a mapping from R to R

2. Describe the three sets F(5), F(0), F(1).

3.Can F be represtented as a function from R to R

4. Give two different choices of X and Y (take both X and Y to be subsets of ?) so that F can be represented as a function say f X -> Y.

## Homework Equations

N/A

## The Attempt at a Solution

Just double checking my answers and not sure on last 2.

1. No, it is a mapping from -1 to 1.

2. F(5) = Null set, F(0) = 0 and pi, f(1) = pi/2 and 3pi/2

3. No, the range of the function is only from -1 to 1. ?(Not sure on this one)

4. No clue.