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 at a specific point?

Back

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

Front

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

Back

If a piecewise function is undefined at a certain point, it means that there is no corresponding output value for that input in the function's definition.

Front

Evaluate f(0) for the piecewise function defined as: f(x) = { 0 if x < 0, -1 if x = 0, 5 if x > 0 }

Back

0

Front

Evaluate f(-4) for the piecewise function defined as: f(x) = { 5 if x < -3, 0 if -3 ≤ x < 0, 18 if x ≥ 3 }

Back

5

Front

Evaluate f(-3) for the piecewise function defined as: f(x) = { 5 if x < -3, 0 if -3 ≤ x < 0, 18 if x ≥ 3 }

Back

5

Front

Evaluate f(3) for the piecewise function defined as: f(x) = { 5 if x < -3, 0 if -3 ≤ x < 0, 18 if x ≥ 3 }

Back

18

Front

What is the domain of a piecewise function?

Back

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

Front

What is the range of a piecewise function?

Back

The range of a piecewise function is the set of all possible output values (y-values) that the function can produce.

Front

How can you graph a piecewise function?

Back

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