Posted by **Brian** on Wednesday, January 18, 2012 at 10:30am.

What is the differnce between a range and domain how can I tell if it is a function or non function. I need a real life example Please help!

- Math -
**Henry**, Friday, January 20, 2012 at 7:59am
Domain: All input values that give a

real output are in the domain.

Y = 35 / (x-2).

All values of x except 2 are within the domain, because 2 gives a denominator of 0 which results in an infinite(undefined) output.

Mathematically: 2 > X > 2.

When a vertical line is drawn through a function, it will intersect at only one point. For example, a vertical line

drawn through the graph of an

x-parabola will intersect at 2 points.

Therefore, it is not a function.

A y-parabola is a function, because it will be intersected at only one point by a vertical line.

The range is all outputs resulting from

inputs within the domain. Therefore, the range of the above function is all

values of y that are greater than negative infinity but less than positive infinitive. So the range includes ALL real numbers.

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