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

Evaluate f(-4) if f(x) = { 16 if x < -2; 1 if -2 ≤ x < 0; 3 if x ≥ 0 }

Back

16

Front

Evaluate f(3) if f(x) = { -5 if x < 0; 0 if 0 ≤ x < 5; 3 if x ≥ 5 }

Back

-5

Front

Evaluate f(0) if f(x) = { -3 if x < 0; 2 if 0 ≤ x < 4; 5 if x ≥ 4 }

Back

-3

Front

What does 'undefined' mean in the context of piecewise functions?

Back

'Undefined' means that the function does not have a value at that specific point, often due to the point not being included in any of the defined intervals.

Front

Evaluate f(9) if f(x) = { 3 if x < 5; 0 if 5 ≤ x < 10; 7 if x ≥ 10 }

Back

3

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.

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.