3.2 Evaluate 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 parts of its domain.

Front

How do you evaluate a piecewise function at a specific point?

Back

To evaluate a piecewise function at a specific point, determine which piece of the function applies to that point based on its domain.

Front

What does f(-1) = -1 indicate about the piecewise function?

Back

It indicates that when the input is -1, the output of the piecewise function is -1.

Front

If f(-2) = 2, what does this tell us about the function at x = -2?

Back

It tells us that the output of the function at x = -2 is 2.

Front

What is the significance of undefined values in piecewise functions?

Back

Undefined values indicate that there is no output for certain inputs, often due to restrictions in the function's definition.

Front

How can you determine the output of f(0) if f(0) = -2?

Back

It means that when the input is 0, the output of the function is -2.

Front

What does f(3) = 2 imply about the function's behavior at x = 3?

Back

It implies that the function outputs a value of 2 when the input is 3.

Front

What is the general form of a piecewise function?

Back

The general form of a piecewise function is: f(x) = { expression1 for condition1, expression2 for condition2, ... }.

Front

Why is it important to identify the correct piece of a piecewise function?

Back

Identifying the correct piece is crucial for accurately evaluating the function at a given input.

Front

What is the domain of a piecewise function?

Back

The domain of a piecewise function is the set of all possible input values for which the function is defined.