True or False.

Question

1. Every function is a relation.

2. When you switch the inputs and outputs of any function, the resulting relation is a function.

Answer 1

I suppose a function is a relation
However if you switch inputs and outputs of a function (take the inverse) you may not get a function. For example y = sin x is a function. There is a y for every x. However for any y between -1 and + 1 there are an infinite number of x values, so if you input x = 0 for example you get y =0, pi (180 deg), 2 pi, 3 pi, etc