Question

Help with a few questions?

http://prntscr.com/jexvfp

Answer 1

Here's Help!

Explanation:

In order for a set of points to be a function, there must be only one `y` output for every `x` input . I could express it like this:

For a data set to be a proper function: `(x_1,y_1) " and " (x_1,y_2)` cannot exist.

Or think about it this way: If you were for example, graphing the path of a single ball through the air, if `x` is the amount to time passed, and `y` is the height of the ball in meters. If the ball is 10 meters from the ground after 5 seconds `(5,10)`, then it can't also be at 5 meters from the ground `(5,5)` after 5 seconds, because that ball can't exist in two different spots at once! Hope that makes sense.

TO ANSWER YOUR QUESTION

The first question provides a table listing the points:

(-4,0)(-1,-3)(-3,5)(-1,1)

Within the points, `-4` has one `y` output, `-3`, has one output, but -1 has an output of `-3`. Therefore this is a relation.

The second question provides a mapping diagram. However, 6 maps to both 0 and 4 within the diagram, therefore that's a relation too. No relation can also be a function at the exact same time

And if that ball of yours exists at both 5 and 10 meters at the exact same time, well you just might want check it out...

Hope that helps!