Step Function
Step Function is a skill on Pengi from Lesson 47: Graphing Functions in Saxon Math, Course 3.
Key Concepts
Property A function whose graph is composed of a series of horizontal line segments, creating a stair step pattern. For any time within an interval the value is constant, but it jumps to a new value at the start of the next interval.
Examples A parking garage charges 2 dollars for the first hour and jumps to 4 dollars for any time over 1 hour up to 2 hours. A library charges a late fee of 1 dollar per week. A book 1 to 7 days late costs 1 dollar; 8 to 14 days late costs 2 dollars. A phone plan costs 25 dollars for up to 5 GB of data, then jumps to 35 dollars the moment you exceed 5 GB.
Explanation Imagine you're playing a video game where you level up! You stay at Level 1 for a while, and then BAM, you instantly jump to Level 2. A step function works just like that. The output value stays flat for a range of inputs, then suddenly leaps to a new level, making a graph that looks exactly like a staircase.
Common Questions
What is Step Function?
Step Function is a skill on Pengi from Lesson 47: Graphing Functions in Saxon Math, Course 3.
What grade level is Step Function for?
Step Function is part of the Grade 8 Math curriculum, covered in Saxon Math, Course 3. It is designed for students studying Math at the Grade 8 level.
How can I learn Step Function?
Pengi offers an AI-guided lesson for Step Function that walks you through the key concepts step by step. The lesson is aligned to Saxon Math, Course 3 so the content matches what you see in class.
How do I practice Step Function?
After learning the concept, use the Practice mode to work through targeted exercises on Step Function. The AI adapts to your level and gives feedback on each answer so you can identify and fix mistakes.
Which textbook covers Step Function?
Step Function is covered in Saxon Math, Course 3, specifically in Chapter 5: Number & Operations • Algebra under Lesson 47: Graphing Functions. Pengi's lesson is aligned directly to this textbook so you can follow along with your class.
Is Step Function free to study on Pengi?
Yes, the core Learn and Practice modes for Step Function are available for free on Pengi. No credit card is required to start studying.