Infinite v finite domains?

What is an infinite domain?

‘Infinite domains’ are a mechanism which yield a series of expanding finite domains.

What functions have an infinite domain?

The graph of a sine and cosine function is an example of a function that has infinite domain and finite domain. The range is finite because these graphs have an amplitude, which is the maximum or minimum value on the graph. As for domain, the x-values are the pi-radians.

How do you know if a domain is infinite?

If the domain or range of a function is all numbers, the notation includes negative and positive infinity (−∞,∞). If the domain is all positive numbers plus 0, the domain would be written as [0,∞).

How do you know if the range is infinite?

Here is that our domain is basically all real numbers another way to say that is from negative infinity to positive infinity. All right so now let's look at our range.

What does domain 0 infinity mean?

Interval notation

D indicates that you are talking about the domain, and (-∞, ∞), read as negative infinity to positive infinity, is another way of saying that the domain is “all real numbers.” The range of f(x) = x2 in interval notation is: R: [0, ∞) R indicates that you are talking about the range.

What is the domain of an infinite graph?

This bottom one is talking about a graph that's finite on one end and infinite over on the other okay so that's kind of strange.

Is infinity a real number?

Infinity is a “real” and useful concept. However, infinity is not a member of the mathematically defined set of “real numbers” and, therefore, it is not a number on the real number line.

Can a range include infinity?

If our range is any real number value, we can say it spans from negative infinity to infinity, (−∞,∞). But more concisely, we use the symbol R to say the range is all real numbers.

Can the domain be all real numbers?

The domain of a function is the set of all values for which the function is defined. For most functions in algebra, the domain is the set of all real numbers .

What is negative infinity?

Negative infinity is the opposite of (positive) infinity, or just negative numbers going on forever.

Does negative zero exist?

There is a negative 0, it just happens to be equal to the normal zero. For each real number a, we have a number −a such that a+(−a)=0. So for 0, we have 0+(−0)=0.

What is the opposite of zero?

All positive numbers have their opposite as the same number with a negative value. And, negative numbers like -1, -2, -3, -4 their opposite will be 1, 2, 3, 4 placed left from 0. All negative numbers have their opposite as the same numbers with positive value. Hence, the opposite of zero is itself.

Do numbers end?

The sequence of natural numbers never ends, and is infinite.

Is Google a number?

A googol is a 1 followed by 100 zeros (or 10100 ). It was given its whimsical name in 1937 by mathematician Edward Kasner’s young nephew, and became famous when an internet search engine, wanting to suggest that it could process a huge amount of data, named itself Google.

Is pi a number?

In decimal form, the value of pi is approximately 3.14. But pi is an irrational number, meaning that its decimal form neither ends (like 1/4 = 0.25) nor becomes repetitive (like 1/6 = 0.166666…). (To only 18 decimal places, pi is 3.141592653589793238.)

What number is after 999 billion?

After a billion, of course, is trillion. Then comes quadrillion, quintrillion, sextillion, septillion, octillion, nonillion, and decillion.

What’s the biggest number known to man?

Googol. It is a large number, unimaginably large. It is easy to write in exponential format: 10100, an extremely compact method, to easily represent the largest numbers (and also the smallest numbers).

Is googolplex bigger than infinity?

Googolplex may well designate the largest number named with a single word, but of course that doesn’t make it the biggest number. In a last-ditch effort to hold onto the hope that there is indeed such a thing as the largest number… Child: Infinity! Nothing is larger than infinity!

What is the biggest number in history?

Prof Hugh Woodin, University of California, USA – “One of the largest numbers we have a name for is a googol, and it’s one followed by a hundred zeroes. A hundred zeroes is a lot because each zero represents another factor of 10.”

What is this number 1000000000000000000000000?

Some Very Big, and Very Small Numbers

Name The Number Symbol
septillion 1,000,000,000,000,000,000,000,000 Y
sextillion 1,000,000,000,000,000,000,000 Z
quintillion 1,000,000,000,000,000,000 E
quadrillion 1,000,000,000,000,000 P

What is the last number ever?

A googol is the large number 10100. In decimal notation, it is written as the digit 1 followed by one hundred zeroes: 10,​000,​000,​000,​000,​000,​000,​000,​000,​000,​000,​000,​000,​000,​000,​000,​000,​000,​000,​000,​000,​000,​000,​000,​000,​000,​000,​000,​000,​000,​000,​000,​000,​000.