Difference Between Discrete Function and Continuous Function

A discrete function is a function with distinct and separate values. ... For example, a discrete function can equal 1 or 2 but not 1.5. A continuous function, on the other hand, is a function that can take on any number within a certain interval.

1. What is the difference between discrete and continuous functions?
2. How do you tell the difference between a continuous and discrete graph?
3. What is the difference between discrete and continuous domain?
4. How can you tell if a function is continuous?
5. Can a discrete function be continuous?
6. How do you know if your data is discrete or continuous?
7. Is age continuous or discrete?
8. Is Money discrete or continuous?
9. Can data be both discrete and continuous?
10. What is an example of a discrete domain?
11. How do you know if a function is discrete?
12. What is continuous value?

What is the difference between discrete and continuous functions?

In Plain English: A continuous function allows the x-values to be ANY points in the interval, including fractions, decimals, and irrational values. In Plain English: A discrete function allows the x-values to be only certain points in the interval, usually only integers or whole numbers.

How do you tell the difference between a continuous and discrete graph?

When figuring out if a graph is continuous or discrete we see if all the points are connected. If the line is connected between the start and the end, we say the graph is continuous. If the points are not connected it is discrete.

What is the difference between discrete and continuous domain?

A discrete domain is a set of input values that consists of only certain numbers in an interval. A continuous domain is a set of input values that consists of all numbers in an interval.

How can you tell if a function is continuous?

Your pre-calculus teacher will tell you that three things have to be true for a function to be continuous at some value c in its domain: f(c) must be defined. The function must exist at an x value (c), which means you can't have a hole in the function (such as a 0 in the denominator). must exist.

Can a discrete function be continuous?

For infinite, you may use the equivalent definition of continuity by Heine: "A is limit of f in accumulation point a iff for each sequence an tending to a, the limit f(an) is A", so actually a discrete function can be continuous.

How do you know if your data is discrete or continuous?

Discrete data involves round, concrete numbers that are determined by counting. Continuous data involves complex numbers that are measured across a specific time interval.

Is age continuous or discrete?

We could be infinitly accurate and use an infinite number of decimal places, therefore making age continuous. However, in everyday appliances, all values under 6 years and above 5 years are called 5 years old. So we use age usually as a discrete variable.

Is Money discrete or continuous?

A continuous distribution should have an infinite number of values between $0.00 and $0.01. Money does not have this property - there is always an indivisible unit of smallest currency. And as such, money is a discrete quantity.

Can data be both discrete and continuous?

Discrete data is information that can only take certain values. Height, weight, temperature and length are all examples of continuous data. ...

What is an example of a discrete domain?

A discrete domain can have a finite set of values that will work for the x. The example given earlier in the lesson about the amount of rain each month is this kind of discrete domain. ... If you number the months in order, the discrete domain would be the set 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.

How do you know if a function is discrete?

If a function is discrete, it does not include all of the values between two given numbers, but rather only specific values in a particular range.

What is continuous value?

A continuous variable is one which can take on an uncountable set of values. For example, a variable over a non-empty range of the real numbers is continuous, if it can take on any value in that range. The reason is that any range of real numbers between and with. is infinite and uncountable.