Just a little math help :))?

Question

is a function always a relation? is a relation always a function? Explain your reasoning.

Thanks...

Answer 1

try this website to help you out...

http://library.thinkquest.org/C0110248/a...

Answer 2

It's only a function if each x-value has a distinct y-value

so, a function is always a relation but a relation is not always a function

Answer 3

A relation is a set of ordered pairs (think rectangle).  A function is a special kind of relation - it is a set of ordered pairs with x, y or domain and range pairs (think square - a special type of rectangle).  I am sure you know that each x in a function can have only ONE y value.

SO, a function is always a relation (square is always a rectangle) but a relation is not always a function (rectangle is not always a square).

Answer 4

a function is always a relation. A relation, however, is NOT always a function.

a circle is a relation, but not a function. For a relation to be a function there must be ONE number in the range for every number in the domain. The relation must pass the 'vertical line test' to be a function.

For example, with a circle or ellipse, if I draw a vertical line, it'll intersect more than once thus failing the vertical line test - NOT a function. To pass the vertical line test, the vertical line can only intersect the graph once.