Step Functions Practice

Front

What is a step function?

Back

A step function is a piecewise constant function that jumps from one value to another without taking on any values in between.

Front

What is the range of a step function?

Back

The range of a step function is the set of output values that the function can take, often represented as discrete values.

Front

How do you determine the range from a graph of a step function?

Back

Identify the distinct horizontal segments of the graph and list the corresponding y-values.

Front

What is the domain of a step function?

Back

The domain of a step function is the set of input values for which the function is defined, often represented as intervals.

Front

How do you find the total cost using a step function?

Back

Identify the order total and use the step function to determine the corresponding shipping cost, then add it to the order total.

Front

If a lawyer charges $120 per hour, how do you calculate the total bill for a fraction of an hour?

Back

Multiply the hourly rate by the total hours worked, including any fractions of an hour.

Front

What does a graph of a step function look like?

Back

A graph of a step function consists of horizontal line segments that represent constant values over specific intervals.

Front

How can you represent a step function using a table?

Back

A table can show the input values (domain) and the corresponding output values (range) for each interval.

Front

What is the significance of the 'jumps' in a step function?

Back

The 'jumps' indicate where the function value changes, representing a change in the output for a given input.

Front

How do you interpret the shipping costs in a step function?

Back

Shipping costs can be represented as a step function where the order total determines the corresponding shipping fee.