Piecewise Functions

Front

What is a piecewise function?

Back

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

Front

How do you evaluate a piecewise function?

Back

To evaluate a piecewise function, identify the interval that contains the input value and use the corresponding expression to find the output.

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 determine the number of pieces in a piecewise function?

Back

Count the number of different expressions or formulas used in the definition of the function.

Front

What does the notation f(x) mean?

Back

f(x) represents the output of the function f for a given input x.

Front

What is an interval notation?

Back

Interval notation is a way of representing a range of values using parentheses and brackets to indicate whether endpoints are included.

Front

What does (-∞, 4] represent in interval notation?

Back

It represents all real numbers less than or equal to 4.

Front

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

Back

Endpoints determine whether the function includes or excludes specific values in its domain.

Front

How do you graph a piecewise function?

Back

Graph each piece of the function on its respective interval, ensuring to use open or closed dots based on the endpoints.