SOLUTION: Hi, Can someone please help me with this. Thanks y = + square root (2x-3) Explain the why this is a function State the domain and range

Algebra ->  Rational-functions -> SOLUTION: Hi, Can someone please help me with this. Thanks y = + square root (2x-3) Explain the why this is a function State the domain and range       Log On


   



Question 386971: Hi, Can someone please help me with this. Thanks
y = + square root (2x-3)
Explain the why this is a function
State the domain and range

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
y = + square root (2x-3)
Explain the why this is a function
State the domain and range
-------------------------
That "plus" sign in front of the square root says
you are only going to have one y-value for each
value of sqrt(2x-3). That makes it a function.
------
Domain:
2x-3 must be non-negative.
Solve 2x-3>=0
x >= 3/2
Domain: All Real Numbers >= 3/2
-----
Range:
Since y is never negative,
Range: All Real Numbers >= 0
==========
Cheers,
Stan H.