Write the relation below as a set of ordered pairs and state if it is a function. if it is not a function, explain why.

This is a linear function. Let diameter (inches) be x, circumference (inches) be y, observe that the value of y/x is always 3.14. For example, 15.7/5=31.4/10=...=3.14. Therefore, this is not only a function (one to one correspondence from x to y), it's also a linear function that can be represented as y=3.14x. 

The inverse is g(x) = 3x + 6

Step-by-step explanation:

f(x) = x/3 - 2

y = x/3 - 2

To find the inverse, swap x and y, then put it in y = mx + b

x = y/3 - 2

y/3 = x + 2

y = 3x + 6

g(x) = 3x + 6