Step Functions

Front

What is a step function?

Back

A step function is a piecewise constant function that jumps from one value to another, creating a 'step' effect on a graph.

Front

What is the value of y when x = 0 in the given step function?

Back

2

Front

What is the value of y when x = -2 in the given step function?

Back

4

Front

What type of function is characterized by discrete jumps?

Back

Step Function

Front

What is the output of the function f(x) = 2[[x-3.5]] when x = 2?

Back

-4

Front

How do you calculate the cost of renting a Karaoke machine for multiple days?

Back

Multiply the daily rental cost by the number of days.

Front

If the daily rental cost is $50, how much does it cost to rent for 3 days?

Back

$150

Front

What is the general form of a step function?

Back

f(x) = c for x in [a, b), where c is a constant and [a, b) is an interval.

Front

What is the difference between a step function and a linear function?

Back

A step function has discrete jumps, while a linear function has a continuous slope.

Front

What is the domain of a step function?

Back

The domain of a step function is typically all real numbers.