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# What does continuous mean in piecewise functions?

## What does continuous mean in piecewise functions?

A function is called piecewise continuous on an interval if the interval can be broken into a finite number of subintervals on which the function is continuous on each open subinterval (i.e. the subinterval without its endpoints) and has a finite limit at the endpoints of each subinterval.

## How do I know if a graph is continuous or discontinuous?

A continuous function is a function that can be drawn without lifting your pen off the paper while making no sharp changes, an unbroken, smooth curved line. While, a discontinuous function is the opposite of this, where there are holes, jumps, and asymptotes throughout the graph which break the single smooth line.

What type of graphs are continuous?

Continuous graphs are graphs where there is a value of y for every single value of x, and each point is immediately next to the point on either side of it so that the line of the graph is uninterrupted. In other words, if the line is continuous, the graph is continuous.

What is a continuous graph examples?

The graph of a continuous function should not have any breaks. The polynomial functions, exponential functions, graphs of sin x and cos x are examples of a continuous function over the set of all real numbers.

### What does a continuous graph look like?

A function is continuous if its graph is an unbroken curve; that is, the graph has no holes, gaps, or breaks.

### What graph is best for continuous data?

Histograms
Continuous data are measured on a scale or continuum (such as weight or test scores). Histograms are useful for displaying continuous data. Bar graphs, line graphs, and histograms have an x- and y-axis.

What is an example of a continuous graph?

What is a Continuous Function Example? The graph of a continuous function should not have any breaks. The polynomial functions, exponential functions, graphs of sin x and cos x are examples of a continuous function over the set of all real numbers.

What type of graph is used for continuous data?

#### Which plotting technique is used for continuous data?

Dot plots are used for continuous, quantitative, univariate data. Data points may be labelled if there are few of them. Dot plots are one of the simplest plots available, and are suitable for small to moderate sized data sets. They are useful for highlighting clusters and gaps, as well as outliers.

#### What is a continuous function graph?

A continuous function, as its name suggests, is a function whose graph is continuous without any breaks or jumps. i.e., if we are able to draw the curve (graph) of a function without even lifting the pencil, then we say that the function is continuous.

Can you use a bar graph for continuous data?

With the ease provided by current computational programs, medical and scientific journals use bar graphs to describe continuous data.