Step Functions

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

Evaluate f(2) for the step function defined as: f(x) = 3 for 2 ≤ x < 3, f(x) = 2 for 1 ≤ x < 2.

Back

f(2) = 3.

Front

What is the value of y when x = 0 for the step function defined as: f(x) = 2 for 0 ≤ x < 1, f(x) = 4 for 1 ≤ x < 2?

Back

y = 2.

Front

How do you graph a step function?

Back

To graph a step function, plot horizontal line segments for each interval and use open circles to indicate where the function does not include the endpoint.

Front

What is the range of a step function?

Back

The range of a step function consists of the distinct output values that the function takes on.

Front

If a step function has a value of 45 cents for weights between 3 and 4 ounces, what is the value for 3.5 ounces?

Back

The value is 45 cents.

Front

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

Back

A step function consists of constant segments with jumps, while a linear function has a continuous slope without jumps.

Front

Evaluate f(4) for the step function defined as: f(x) = 4 for 4 ≤ x < 5, f(x) = 3 for 3 ≤ x < 4.

Back

f(4) = 4.

Front

What is the value of postage for a letter weighing 2.1 ounces if the cost is 43 cents for weights up to 2.5 ounces?

Back

The cost is 43 cents.

Front

What type of function is defined by distinct, separate values?

Back

Discrete Function.