Basic Piecewise Functions Practice

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 the input variable.

Front

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

Back

To evaluate a piecewise function at a specific point, determine which interval the point falls into and use the corresponding expression to find the output.

Front

What does 'DNE' stand for in the context of piecewise functions?

Back

DNE stands for 'Does Not Exist', indicating that the function does not have a defined value at that point.

Front

What is the output of f(x) = { x if x < 4; -x+1 if x ≥ 4 when x = 2?

Back

The output is 2, since 2 is less than 4.

Front

What is the output of f(x) = { x if x < 4; -x+1 if x ≥ 4 when x = 4?

Back

The output is -3, since 4 is equal to 4.

Front

What is the output of f(x) = { -x+1 if x < 4; x if x ≥ 4 when x = 3?

Back

The output is -2, since 3 is less than 4.

Front

What is the output of f(x) = { -x+1 if x < 4; x if x ≥ 4 when x = 5?

Back

The output is 5, since 5 is greater than 4.

Front

How can you graph a piecewise function?

Back

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

Front

What is the significance of the domain in piecewise functions?

Back

The domain of a piecewise function specifies the input values for which the function is defined, which can vary for different pieces.

Front

What is the output of f(x) = { x if x < 0; 2x if x ≥ 0 when x = -1?

Back

The output is -1, since -1 is less than 0.