Question

Explain why a function has at most one y-intercept? Can a function have more than one x-intercept? Can a function have no x-intercepts?

Answer 1

Yes to both of the last questions...a function takes "in" one value and has one and only one "out" value. The x is the independent value and y is the dependent variable.

If the graph for an equation crosses the y-intercept in more than one spot, then that means it has at least two different y-values for the same x value, 0. That means it can't be a function at all

Answer 2

thanks for the response

Answer 3

No problem :)