Piecewise Functions Flashcard

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions for different parts of its domain.

Front

How do you determine the value of a piecewise function at a specific point?

Back

To determine the value, identify which piece of the function applies to that point and use the corresponding expression.

Front

What does it mean when a function is continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How can you represent a piecewise function graphically?

Back

A piecewise function can be represented with different line segments or curves on a graph, each corresponding to a specific interval of the domain.

Front

What is the maximum distance in a piecewise function context?

Back

The maximum distance refers to the farthest point reached by the function within its defined intervals.

Front

How do you calculate total elapsed time in a piecewise function?

Back

Total elapsed time can be calculated by adding the time intervals defined in the piecewise function.

Front

What is an interval in the context of piecewise functions?

Back

An interval is a range of x-values over which a specific expression of the function is valid.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.