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This function rounds any number down to the nearest integer. Let's use the notation GIF[x]for this site to mean greatest integer function of x. Another name for it is the floor function. So here are some examples: GIF[.9]=0 GIF[1.9]=1 Gif[-1.8]=-2 Here is one trick GIF[1.99999 where 9 repeats forever]=2 (I can not put the bar over it, but usually it would be written as 1.9 with a bar over the 9) The reason is that 1.999999999 forever is =2 so GIF[2]=2
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The greatest integer function and absolute value function are both examples of functions that can be defined as what?
Both the Greatest Integer Function and the Absolute Value Function are considered Piece-Wise Defined Functions. This implies that the function was put together using parts from other functions.
The greatest integer function shown below is define so that it produces the greatest integer what or equal to x?
Less than
Is the absolute value function and the greatest integer function one to one?
Neither of the two are one-to-one
Does the greatest integer function have an inverse function?
Inverse of a function exists only if it is a Bijection. Bijection=Injection(one to one)+surjection (onto) function.
The greatest integer function and absolute value function are both examples of functions that can be defined?
piecewise
What is the greatest integer function of -50.95?
-51
Is the greatest integer function a continuous funcion?
No. It has a discontinuity at every integer value.
The greatest integer function and absolute value function are both examples of functions that can be defined as what?
Both the Greatest Integer Function and the Absolute Value Function are considered Piece-Wise Defined Functions. This implies that the function was put together using parts from other functions.
The greatest integer function shown below is define so that it produces the greatest integer what or equal to x?
Less than
Is the absolute value function and the greatest integer function one to one?
Neither of the two are one-to-one
Is the greatest integer function x integrable over the real line?
yes
Does the greatest integer function have an inverse function?
Inverse of a function exists only if it is a Bijection. Bijection=Injection(one to one)+surjection (onto) function.
The greatest integer function and absolute value function are both examples of functions that can be defined?
piecewise
What does GTF mean in math?
it means something great and top fave to grades
Is greatest integer value integrable?
No, because there is no greatest integer.
What is a Real life example of Greatest integer function?
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.
What is the product of greatest negative integer and smallest positive integer?
The smallest positive integer is 1. 1 is the multiplicative identity; ie anything times 1 is itself. The greatest negative integer is the most positive negative integer which is -1. Therefore the product of the greatest negative integer and the smallest positive integer is the greatest negative integer which is -1.
