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 valid output for that input based on the defined pieces of the function.

Front

Evaluate f(3) for the piecewise function: f(x) = { 2x + 12 if x < 0; 3x - 3 if 0 ≤ x < 6; 5 if x ≥ 6 }

Back

18

Front

Evaluate f(-4) for the piecewise function: f(x) = { 2x + 12 if x < 0; 3x - 3 if 0 ≤ x < 6; 5 if x ≥ 6 }

Back

16

Front

Evaluate f(9) for the piecewise function: f(x) = { 2x + 12 if x < 0; 3x - 3 if 0 ≤ x < 6; 5 if x ≥ 6 }

Back

3

Front

Evaluate f(0) for the piecewise function: f(x) = { 2x + 12 if x < 0; 3x - 3 if 0 ≤ x < 6; 5 if x ≥ 6 }

Back

0

Front

Evaluate f(6) for the piecewise function: f(x) = { 2x + 12 if x < 0; 3x - 3 if 0 ≤ x < 6; 5 if x ≥ 6 }

Back

5

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) 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 (f(x)) that the function can produce.