# A basketball is dropped from height of 200 cm. The table shows how high it bounces on each bounce.is it still considered as discrete?  I find it continious since length(cm) can be found in between...

A basketball is dropped from height of 200 cm. The table shows how high it bounces on each bounce.

is it still considered as discrete?
I find it continious since length(cm) can be found in between whole numbers/decimals.  However the book says it is discrete because you cant have "quarter/halfof a bounce". Why is it based on the number of bounces instead of the length (cm)?

Posted on

It is discrete because a bounce is considered from the time the ball leaves the ground until the time it touches the ground again. The table provides the maximum height reached between these two time events.

You know that something is discrete since you can easily count the number of times the ball hits the ground.

steveschoen | College Teacher | (Level 1) Associate Educator

Posted on

It is discrete because, correct, you can't have half a bounce.  It doesn't make a difference if the "y" is considered "continuous".  It's the x.  "x" here, I assume, is the number of the bounce.  Since you can't have half bounces, then it would be discrete.

When it comes to these tables and discrete or discontinuous, don't even bother considering the "y".  Consider the "x".  Can you take half of that?  Here, no.