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 the term 'domain' refer to in functions?

Back

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

Front

What does the term 'range' refer to in functions?

Back

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

Front

If a piecewise function has a condition 'x < 0', what does it mean?

Back

It means that the expression for the function applies only when x is less than 0.

Front

What is the maximum distance in a piecewise function context?

Back

The maximum distance refers to the farthest point from the starting point within the defined intervals of the function.

Front

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

Back

Add the time intervals from each piece of the function to find the total time elapsed.

Front

What is the significance of the point where a piecewise function changes?

Back

This point is called a 'breakpoint' and indicates where the function's rule changes.

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 different piece of the function.

Front

What is an example of a real-world application of piecewise functions?

Back

Calculating shipping costs that vary based on weight ranges is an example of a piecewise function.