Help with a few questions?

1 Answer
May 7, 2018

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!