Can a continuous function be discrete?

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.

Can a continuous variable be discrete?

A discrete variable is a variable whose value is obtained by counting. A continuous variable is a variable whose value is obtained by measuring. A random variable is a variable whose value is a numerical outcome of a random phenomenon. A discrete random variable X has a countable number of possible values.

How can I tell if a function is discrete or continuous?

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. Sometimes the set of points that represent the solutions of an equation are distinct, and other times the points are connected.

How do you make a continuous variable discrete?

We often convert continuous variables into discrete ones. We do this by dividing up the continuous variable into ranges of values. We then assign the same discrete value to all values of the continuous variable that fall within a certain range.

When can you treat a discrete variable as continuous?

If you have a discrete variable and you want to include it in a Regression or ANOVA model, you can decide whether to treat it as a continuous predictor (covariate) or categorical predictor (factor). If the discrete variable has many levels, then it may be best to treat it as a continuous variable.

How do you identify a continuous variable?

If you start counting now and never, ever, ever finish (i.e. the numbers go on and on until infinity), you have what’s called a continuous variable. If your variable is “Number of Planets around a star,” then you can count all of the numbers out (there can’t be an infinite number of planets).

Can a function be discrete?

A discrete function is a function in which the domain and range are each a discrete set of values, rather than an interval in R.

What makes function not continuous?

In other words, a function is continuous if its graph has no holes or breaks in it. For many functions it’s easy to determine where it won’t be continuous. Functions won’t be continuous where we have things like division by zero or logarithms of zero.

What makes a continuous variable continuous?

Continuous variables A variable is said to be continuous if it can assume an infinite number of real values within a given interval. For instance, consider the height of a student. The height can’t take any values. The age is another example of a continuous variable that is typically rounded down.

What makes a variable continuous?

Continuous variables are numeric variables that have an infinite number of values between any two values. A continuous variable can be numeric or date/time. For example, the length of a part or the date and time a payment is received.