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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
