Identify Non-Linear Functions

How to identify non-linear functions?

1. By Graph:
   Linear functions produce a straight-line graph.
   Non-linear functions produce graphs that are not straight lines. This means the graph will be curved, have sharp turns, or exhibit other non-linear patterns.
   
2. By Equation:
   A linear function has an equation of the form: y = ax + b or f(x) = ax + b
   A non-linear function is any function whose equation cannot be put into this form. This often involves:
   Exponents other than 1 on the variable
   Trigonometric functions
   Exponential functions
   Logarithmic functions
   Absolute value functions
   Rational functions
   Products of variables
   
3. By Table of Values:
   In a linear function, the rate of change between consecutive points is constant. This means that for equal changes in the x-values, the y-values will change by a constant amount.
   In a non-linear function, the rate of change between consecutive points is not constant. The difference in y-values will vary even for equal differences in x-values.

Coordinate Geometry Worksheets
Practice your skills with the following worksheets:
Printable & Online Coordinate Geometry Worksheets

Nonlinear Functions - What are Nonlinear Functions?
This video will help you learn about non-linear functions.
A non-linear function is a function whose graph does not form a line.
Examples of nonlinear functions include
quadratic
polynomial
absolute value
exponential
logarithmic

Linear and Non-Linear Functions
Identifying shape of a graph from the equation lesson

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