Piecewise Functions Flashcard

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions for different parts of its domain.

Front

How do you find the distance between two points?

Back

To find the distance between two points, use the distance formula: Distance = |x2 - x1| + |y2 - y1|.

Front

What does the term 'domain' mean in mathematics?

Back

The domain of a function is the set of all possible input values (x-values) for that function.

Front

What does the term 'range' mean in mathematics?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you determine the maximum value of a piecewise function?

Back

To find the maximum value, evaluate the function at the endpoints and any critical points within the domain.

Front

What is the significance of the x-axis in a graph?

Back

The x-axis represents the input values (independent variable) of a function.

Front

What is the significance of the y-axis in a graph?

Back

The y-axis represents the output values (dependent variable) of a function.

Front

How can you represent a piecewise function graphically?

Back

A piecewise function can be represented by drawing different line segments or curves for each piece of the function.

Front

What is the formula for calculating speed?

Back

Speed = Distance / Time.

Front

If a boy rides his bicycle for 4 hours at a speed of 5 miles per hour, how far does he travel?

Back

Distance = Speed x Time = 5 miles/hour x 4 hours = 20 miles.