Evaluating 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 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

Evaluate f(-4) for the piecewise function defined as: f(x) = { 9 if x < -3; 16 if x >= -3 }

Back

9

Front

Evaluate f(-2) for the piecewise function defined as: f(x) = { 7 if -3 < x < 0; -1 if x = 0 }

Back

7

Front

Evaluate f(0) for the piecewise function defined as: f(x) = { 0 if x < 0; -1 if x = 0 }

Back

-1

Front

What does it mean if a piecewise function is undefined at a certain point?

Back

It means that there is no valid output for that input value based on the defined intervals of the function.

Front

Evaluate f(-4) for the piecewise function defined as: f(x) = { 16 if x < -3; 9 if x >= -3 }

Back

16

Front

What is the output of a piecewise function if the input is not in any defined interval?

Back

The output is undefined.

Front

Evaluate f(0) for the piecewise function defined as: f(x) = { 0 if x < 0; 0 if x = 0 }

Back

0

Front

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

Back

The domain determines the input values for which the function is defined and which expression to use for evaluation.