Question

Part 1: Create a relation of five ordered pairs that is a function. In complete sentences explain why this relation is a function.
Part 2: Create a relation of five ordered pairs that is not a function. In complete sentences explain why this relation is not a function.

Answer 1

What do you need help with?

Answer 2

i don't know how to do it

Answer 3

Okay, so a function is defined as having every unique input produce the same output. So if you have a function with the solutions (1,2) and (1,3) this would contradict because you have the same input, that produces different outputs.

Answer 4

However, a function can have the same output for two different inputs.

Answer 5

so does it matter what the numbers are as long as the input numbers aren't the same

Answer 6

Nope, it doesn't. You can have (1,3) (2,3) (3,3) (4,3) (5,3) and those outputs are all valid.
You can see this better on a graph, if you take a pen and lay it vertically so that it is parallel to the y axis, you'll notice that your pen should never touch two places on a line. This will work for every real function.

Answer 7

thank you

Answer 8

It's pretty intuitive, just sometimes math teachers don't explain it very well. Good luck.

Answer 9

I'm home schooled haha

Answer 10

Oh okay. (You're probably still getting a better education than public schools)

Answer 11

it is way more advanced and informative i used to have D's and F's in public school and I'm not a straight A student