9-2 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 the input variable.

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 output.

Front

What is the output of f(x) when x = -4 in the given piecewise function?

Back

-2

Front

What is the output of f(x) when x = 4 in the given piecewise function?

Back

3

Front

What is the output of f(x) when x = 2 in the given piecewise function?

Back

4

Front

What equation represents f(x) when x ≤ 2 in the given piecewise function?

Back

f(x) = abs(x) (absolute value of x)

Front

What is the output of f(x) when x = 0 in the given piecewise function?

Back

1

Front

What does 'abs(x)' represent in a piecewise function?

Back

'abs(x)' represents the absolute value of x, which is the distance of x from 0 on the number line.

Front

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

Back

Intervals in a piecewise function determine which formula to use for specific values of x.

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 and ensure to indicate open or closed circles at endpoints.