The most common example of the Greatest Integer Function is the Post Office. Postage is paid based on weight. For example, from between 1 and 2 ounces, you might pay $1.25 postage. However, when you hit 2 ounces to almost 3 ounces you pay $2.00. This progression is a greatest integer function and is currently used today by the Post Office. You could probably get their rate chart and see.
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No. For any integer, you can add one to get an even greater integer.
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No, integers are whole numbers including 0. '.48' is a real number and would round down to zero, or up to 1, depending on the function you use, either of which is an integer.
A real world example of a cubic function might be the change in volume of a cube or sphere, depending on the change in the dimensions of a side or radius, respectively.
Integer Real life problems are examples in real life that relate to Intgers. For example, Lakes: Positive Integers could be related to the height of the lake above sea level Negative integers would related with the height of the lake below sea level Banks- Depositing $20 (positive number) into your account. And then the next day withdraw 100 20-100=???