Y=square root (4x-3)?

Question

determine whether the equation defines y as a function of x.

a. y is a function x

b. y is not a function of x

Answer 1

b. A sq rt has 2 values in general that's why.

Answer 2

a

The way you have it written

y = √(4x-3) this is indeed a function because for each value of x, there is exactly one mapping to a y. This is called the principle root, and with the way you have it written, you only take the positive square root.

What bskelkar is referring to is if you were actually asked

y²= 4x-3.

When you solve for y

y = ±√(4x-3) in which case, this is not a function because for every value of x, there are two answers for y. But this is not what you wrote.

So for your problem, YES it is a function because each x value maps to EXACTLY one y value.