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No. It has a discontinuity at every integer value.

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Q: Is the greatest integer function a continuous funcion?
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What is the greatest integer?

There is no greatest integer. Whatever integer you think is greatest, you can always add one (1) to it and get a larger one.


What is a ground floor function?

A floor function takes any decimal and rounds it down to the closest integer.(You might possibly also call this a "ground floor" function.)


If the average of three distinct integers is 37 and the least integer is 18 .what could be the greatest integer?

Solving for the third integer:(a + b + c) / 3 = 37 (by the definition of "average")(18 + b + c) / 3 = 37 (assuming "a" is the least integer)18 + b + c = 111c = 111 - 18 - b (solving for the third integer)c = 93 - bNow, "b" must be at least 18, in which case:c = 93 - 18 = 75On the other hand, the largest "b" can be is when it is equal to "c" (since I am assuming that "c" is the largest integer):c = 93 - bc = 93 - c2c = 93c = 46.5Adjusting the numbers a bit (since we need integers), in this case we get the numbers 18, 46, 47Thus, the greatest integer can be anything in the range from 47 to 75.


What is the difference between a transcendental an algebraic function?

An algebraic function is a function built from polynomial and combined with +,*,-,/ signs. The transcendental it is not built from polynomial like X the power of Pie plus 1. this function is transcendental because the power pi is not integer number in result it can't be a polynomial.


How many positive 4 digit are there?

Let me first re-phrase your question: What is the number of (positive) integers less than 10000 (5 digits) and greater than 999 (3 digits)? The greatest 4 digit integer would be 9999. The greatest 3 digit integer would be 999. Let's do some subtraction: 9999 - 999 = 9000 This works because as we count up from 999, each positive integer encountered satisfies your requirements until reaching 10000.

Related questions

What is the greatest integer function of -50.95?

-51


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 it mean for a function to be continuous?

It means that the function value doesn't make sudden jumps. For example, a function that rounds a number down to the closest integer is discontinuous for all integer values; for instance, when x changes from 0.99 to 1, or from 0.999999 to 1, or for any number arbitrarily close to 1 (but less than one) to one, the function value suddenly changes from 0 to 1. At other points, the function is continuous.


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.