Piecewise Practice

Front

What is a piecewise function?

Back

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

Front

How do you represent a piecewise function?

Back

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 does it mean for a function to be continuous?

Back

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

Front

What is the difference between open and closed intervals?

Back

An open interval (a, b) does not include the endpoints a and b, while a closed interval [a, b] includes both endpoints.

Front

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

Back

To find the value of a piecewise function at a specific point, determine which piece of the function applies to that point and then evaluate the expression.

Front

What is the significance of the conditions in a piecewise function?

Back

The conditions in a piecewise function determine which expression to use based on the input value.

Front

How do you graph a piecewise function?

Back

To graph a piecewise function, plot each piece of the function according to its defined interval and use open or closed dots to indicate whether endpoints are included.

Front

What is a common mistake when working with piecewise functions?

Back

A common mistake is to incorrectly apply the wrong piece of the function for a given input value.

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.