f(x)= ± (sqrt of ( x - 5)

Question

IS THE EQUATION A FUNCTION OR NOT A FUNCTION

Answer 1

A function has ONE y-value for each x-value. Let's say f(x) = x + 5. No matter what x-value I input, I'm only going to get one y-value.

Because we have ±, this means we'll have at least two y-values.

y = √(41 - 5)

y = √36

y = ±6

Well, that's 2 different y-values, so this is not a function.