Flashcard #6 Review-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?

Back

To evaluate a piecewise function, determine which interval the input value falls into and then use the corresponding expression to find the output.

Front

What does the notation f(x) mean in piecewise functions?

Back

f(x) represents the output of the function for a given input x.

Front

What is the significance of the domain in piecewise functions?

Back

The domain specifies the input values for which the function is defined, and it can vary for different pieces of the function.

Front

How do 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 dots as appropriate.

Front

What is the difference between open and closed intervals?

Back

An open interval does not include its endpoints, while a closed interval includes its endpoints.

Front

What is the slope of a linear function?

Back

The slope of a linear function is the ratio of the change in the y-value to the change in the x-value, often represented as 'm'.

Front

How do you find the y-intercept of a linear function?

Back

The y-intercept is the point where the graph crosses the y-axis, found by setting x=0 in the function's equation.

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph.

Front

What is a distance-time graph?

Back

A distance-time graph shows the distance traveled over time, where the x-axis represents time and the y-axis represents distance.