Why is the graph of [b]y = sin(x) [/b]a function? Explain. [i]Be sure to use the terms "input" and "output" in your explanation. [/i]

Move the [b]xMin[/b] point to [math]-2\pi[/math] and move the [b]xMax[/b] point to [math]2\pi[/math]. The equation of the inverse relation with dashed graph is [math]x=\sin y[/math]. Is this dashed graph a function? Explain why or why not. [i]Make sure to use the terms "input" and "output" in your explanation. [/i]

For the function [b]y = sin(x)[/b], move the [b]xMin[/b] and [b]xMax[/b] to restrict the domain of this original function. [i]Is it possible to restrict the domain so the inverse relation (with dashed graph) becomes a function? [/i][br][br]If so, show how this can be done and state this restricted domain below. [br]If not, clearly explain why this is impossible.

Why is the graph of [b]y = cos(x) [/b]a function? Explain. [i]Be sure to use the terms "input" and "output" in your explanation. [/i]

Move the [b]xMin[/b] point to [math]-2\pi[/math] and move the [b]xMax[/b] point to [math]2\pi[/math]. The equation of the inverse relation with dashed graph is [math]x=\cos y[/math]. Is this dashed graph a function? Explain why or why not. [i]Make sure to use the terms "input" and "output" in your explanation. [/i]

For the function [b]y = cos(x)[/b], move the [b]xMin[/b] and [b]xMax[/b] to restrict the domain of this original function. [i]Is it possible to restrict the domain so the inverse relation (with dashed graph) becomes a function? [/i][br][br]If so, show how this can be done and state this restricted domain below. [br]If not, clearly explain why this is impossible.