# Lesson Worksheet: Step Functions Mathematics

In this worksheet, we will practice identifying and analyzing a step function’s domain, range, intercepts, end behavior, continuity, and decreasing and increasing intervals.

Q1:

State the domain and range of the step function whose graph is shown. • BDomain: , range:
• CDomain: , range:
• DDomain: , range:
• EDomain: , range:

Q2:

State the domain and range of the following function:

• BDomain: , range:
• CDomain: , range:
• DDomain: , range:
• EDomain: , range:

Q3:

Find the rule of the following function. • A
• B
• C
• D
• E

Q4:

Evaluate the following function, , for the given values of . Q5:

Which of the following functions is a step function?

• A • B • C • D • E Q6:

State the domain and range of the function

• BDomain: , range:
• CDomain: , range:
• DDomain: , range:
• EDomain: , range:

Q7:

State the domain and range of the function

• BDomain: , range:
• CDomain: , range:
• DDomain: , range:
• EDomain: , range:

Q8:

Consider the following function:

If its domain is and its range is , find and .

• A,
• B,
• C,
• D,
• E,

Q9:

Find the rule for the step function whose graph is shown. • A
• B
• C
• D
• E