Chapter 12.1
Introduction to nonlinear equations
What You'll Learn
Identify nonlinear equations including quadratic, rational, radical, cubic, and hyperbola forms
Graph nonlinear functions using table of values and pattern recognition
Apply the vertical line test to determine if a relation is a function
Distinguish between functions and non-functions by analyzing graph behavior
Recognize characteristic graph shapes for parabolas, reciprocal, radical, cubic, and hyperbola equations
What You'll Practice
1
Graphing parabolas, sideways parabolas, and cubic functions
2
Sketching rational and radical function graphs
3
Using the vertical line test on various nonlinear graphs
4
Determining which nonlinear equations represent functions
Why This Matters
Understanding nonlinear equations prepares you for advanced algebra, precalculus, and calculus courses. The vertical line test and graph recognition skills you develop here are essential tools you'll use throughout higher mathematics to analyze complex relationships and solve real-world problems.
Before You Start — Make Sure You Can:
This Unit Includes
1 Video lesson
Skills
Nonlinear Equations
Vertical Line Test
Graphing
Functions
Parabolas
Rational Functions
Radical Functions
Cubic Functions
OH Curriculum Aligned
