Nonlinear Graphs
Graph parabolas and curves
Learning Objectives
Discussion Starters
Differentiation Ideas
Presentation Mode
lessons (1)
Nonlinear graphs include parabolas, exponentials, absolute value functions, and more. Unlike straight lines, these curves show changing rates of change and reveal different types of real-world relationships from projectile motion to population growth.
What Students Will Learn
- Identify types of nonlinear functions from graphs
- Graph quadratic functions (parabolas)
- Graph absolute value functions
- Understand exponential growth and decay graphs
- Compare linear and nonlinear functions
Frequently Asked Questions
What makes a graph nonlinear?
A nonlinear graph has a changing slope - it curves rather than being straight. The rate of change is not constant.
What is a parabola?
A parabola is the U-shaped graph of a quadratic function like y = x². It has a vertex (high or low point) and an axis of symmetry.
How do exponential graphs differ from linear?
Exponential graphs start slowly and increase rapidly (growth) or start high and decrease rapidly (decay). Linear graphs have constant change.