Yes.
Yes. The range can have fewer number of entries.As an extreme case, consider f(x) = 3, where x is a Real number.The domain is all Real numbers - infinitely many of them, while the range is one value: 3.A function can contain one-to-one or many-to-one relationships but one-to-many relationships are not permitted. As a result, the cardinality of the range cannot be bigger than the cardinality of the domain.
Yes. Typical example: y = x2. To avoid comparing infinite sets, restrict the function to integers between -3 and +3. Domain = -3, -2 , ... , 2 , 3. So |Domain| = 7 Range = 0, 1, 4, 9 so |Range| = 4 You have a function that is many-to-one. One consequence is that, without redefining its domain, the function cannot have an inverse.
10,000
The domain of a rational function is the whole of the real numbers except those points where the denominator of the rational function, simplified if possible, is zero.
Add up all the numbers and divide by the amount of entries you added together.
The Count function can be used if you are looking for just numbers and the Counta function if you are looking for numbers and text entries.
Yes. The range can have fewer number of entries.As an extreme case, consider f(x) = 3, where x is a Real number.The domain is all Real numbers - infinitely many of them, while the range is one value: 3.A function can contain one-to-one or many-to-one relationships but one-to-many relationships are not permitted. As a result, the cardinality of the range cannot be bigger than the cardinality of the domain.
There is no single function. In fact there are infinitely many possible functions.
Yes. Typical example: y = x2. To avoid comparing infinite sets, restrict the function to integers between -3 and +3. Domain = -3, -2 , ... , 2 , 3. So |Domain| = 7 Range = 0, 1, 4, 9 so |Range| = 4 You have a function that is many-to-one. One consequence is that, without redefining its domain, the function cannot have an inverse.
10,000
numbers and text
numbers and text
It is possible only because of different number of neutrons.
If you have to find a median in a set of numbers in which there are an even number of entries, you must find the average of the two numbers the come in the middle.
The domain of a rational function is the whole of the real numbers except those points where the denominator of the rational function, simplified if possible, is zero.
It is not possible to answer the question since there are no operators between the numbers. 80 + 600 is very different from 80 * 600!It is not possible to answer the question since there are no operators between the numbers. 80 + 600 is very different from 80 * 600!It is not possible to answer the question since there are no operators between the numbers. 80 + 600 is very different from 80 * 600!It is not possible to answer the question since there are no operators between the numbers. 80 + 600 is very different from 80 * 600!
Not possible. Of course you can call a function which does the addition for you, but function-calling is also an operator in C.