Piecewise Functions

Front

What is a piecewise function?

Back

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

Front

What does the domain of a function represent?

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 do you determine the domain of a piecewise function?

Back

To determine the domain of a piecewise function, identify the intervals for which each piece of the function is defined and combine them.

Front

What is the significance of the notation (-∞, +∞)?

Back

The notation (-∞, +∞) indicates that the domain includes all real numbers.

Front

What does the notation [a, b] signify in interval notation?

Back

The notation [a, b] signifies that the interval includes both endpoints a and b.

Front

What does the notation (a, b) signify in interval notation?

Back

The notation (a, b) signifies that the interval does not include the endpoints a and b.

Front

How can you find the range of a piecewise function?

Back

To find the range of a piecewise function, evaluate the output values for each piece over its defined interval and combine the results.

Front

What is a quadratic function?

Back

Front

How do you identify the behavior of a function over a specific interval?

Back

To identify the behavior of a function over a specific interval, analyze the function's expression and its graph within that interval.