Mar 21, 2023 · The graph can be linear or nonlinear, depending upon the characteristics of the function. This guide will help you better understand linear and nonlinear functions and how they differ from each other by using many examples and practice questions.

Some examples of nonlinear functions are: f (x) = x 2 is nonlinear as it is a quadratic function. f (x) = 2 x is nonlinear as it is an exponential function. f (x) = x 3 - 3x is nonlinear as it is a cubic function.

Apr 7, 2022 · When we plot a graph we can have one of two types: linear or non-linear. A linear graph basically means that when plotted we will see a straight line, hence the word linear meaning ‘line like’. Obviously, a non-linear graph will give us a curved shape when plotted.

Here's an example of a simple function: Linear functions are functions that appear as straight lines when they are graphed. Because of this, linear functions follow the standard equation of a line, which is called "slope-intercept form".

These lessons, with videos, examples and step-by-step solutions help Grade 8 students learn how to interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.

Mar 23, 2025 · If linear functions are the wise rulers of math, then non-linear functions are the jesters—unpredictable, entertaining, and full of surprises! To help students make sense of this contrast, let's break it down with real-world examples —including a very busy ant farm that’s anything but linear.

How can you recognize when a pattern in real life is linear or nonlinear? Work with a partner. Copy and complete each table for the sequence of. similar rectangles. Graph the data in each table. Decide whether each pattern is linear or nonlinear. a. Perimeters of Similar Rectangles. b. Areas of Similar Rectangles. Work with a partner.

Oct 30, 2012 · In this concept, you will learn to distinguish between linear and non-linear functions by displaying these functions on a graph. A linear function is a systematic or sequential increase or decrease represented by a straight line. Take a look at this table.

Dec 3, 2015 · In this concept, you will learn to distinguish between linear and nonlinear functions. If you graph a linear function you will get a straight line. There are also nonlinear functions. If you graph the coordinates of a nonlinear function you will not get a straight line.

Apr 30, 2025 · Figure \(\PageIndex{1}\): These linear functions are increasing or decreasing on \((∞, ∞)\) and one function is a horizontal line. As suggested by Figure \(\PageIndex{1}\), the graph of any linear function is a line. One of the distinguishing features of a line is its slope. The slope is the change in \(y\) for each unit change in \(x ...