Is y = square root of (x - 1) is a function? Explain why.?

Answer 1

No it's not.

A function may never have more than one y-value associated with any given x-value. For the equation you've given, if x=2, y can be either +1 or -1.

Answer 2

It is a function. Some people seem to be a bit confused here: (2, -1) is not a solution of this equation because √(2-1) = √1 = 1 ≠ -1. If this had been written y=±√(x-1), or y² = x-1, then it would not be a function, but neither of those things were written. What is written is y=√(x-1), which is a function, because the symbol √x refers only to the unique _nonnegative_ real number whose square is x, not to any real number whose square is x. Thus as mentioned above, √1 = 1, not ±1, and y=√(x-1) is a function.

Answer 3

Y Square Root Of X

Answer 4

Here is how it is worked out. lol...You decide if it is a function or not. I can't do it all for you..lol..

y=2*(x-1)

Multiply 2 by (x-1) to get 2(x-1).
y=2(x-1)

Multiply 2 by each term inside the parenthesis (x-1).
y=(2(x)+2(-1))

Complete the multiplication of 2 by each term inside the parenthesis.
y=(2x-2)

Remove the parenthesis around the expression 2x-2.
y=2x-2

Answer 5

Yes it is a function because it is a one to one relation. That means that for each value of x there is a unique y value.
If you graph it , it is half of a parabola on its side which passes the vertical line test.

Answer 6

Yes. I don't remember offhand the definition of a function, but this equation describes y as a function of x, i.e. the value of y is based on the value of x.

Answer 7

As stated, it is NOT a function.

Clairebear... if you graph it you get a complete parabola opening to the right. It does NOT pass the vertical line test.

Multiple y's for each x.

Answer 8

No it is not... It gives multiple answers e.g. sqrt(4)=2,-2