PLEASE HELP! Decide whether the relation defines a function y=(2)/(13-x)

Question

PLEASE HELP!

Decide whether the relation defines a function

y=
`(2)/(13-x)`

Answer 1

yes it is a rational function.

Explanation:

You can easily find out by graphing the function and using the vertical line test. If a vertical line drawn anywhere on the graph (except at vertical asymptotes where values are undefined) intersects the graph at only one point, then the relation is a valid function.

(See attached for graph)

We can see that indeed a vertical line drawn at any point will cut the graph only at one point, hence it is a rational function.

Answer 2

it is

Explanation:

for every x≠13 the function maps each value of the domain (x) to only one corresponding value of the range (y)