ALG1H 4.7 Piecewise Functions

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 use the corresponding expression to find the function's value.

Front

What does f(0) = 4 indicate in a piecewise function?

Back

It indicates that when the input x is 0, the output of the function f is 4.

Front

If f(-2) = 8, what does this tell us about the function at x = -2?

Back

It tells us that the output of the function f when the input x is -2 is 8.

Front

What is the significance of the graph of a piecewise function?

Back

The graph of a piecewise function visually represents the different expressions that define the function over various intervals.

Front

How do you find f(2) in a piecewise function?

Back

To find f(2), identify the interval that includes x = 2 and use the corresponding expression to calculate the output.

Front

What is the output of a piecewise function when x = 0 if f(0) = 1?

Back

The output of the function f when x = 0 is 1.

Front

What does it mean if a piecewise function has a discontinuity?

Back

A discontinuity in a piecewise function means that there is a jump or break in the graph, indicating that the function is not continuous at that point.

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.