General Knowledge
COMMON GRAPHS OF FUNCTIONS
SCIENCE AND TECHNOLOGY
21 June 2026
PRERNA FOR IAS
COMMON GRAPHS OF FUNCTIONS
1. Linear Function
A linear function is the simplest type of mathematical function and is represented by a straight line on a graph. The equation y = x means that the value of y increases by the same amount as x. The graph passes through the origin (0,0) and has a slope of 1, indicating a constant rate of change. Linear functions are used to represent relationships where one quantity changes proportionally with another. Examples include distance traveled at constant speed and simple cost calculations. Because of their simplicity, linear functions are widely used in algebra, physics, economics, and engineering.
2. Quadratic Function
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Learn common function graphs including linear, quadratic, cubic, and exponential functions with their equations, properties, and real-world applications.
Keywords
function graphslinear functionquadratic functioncubic functionabsolute value functionsquare root functionreciprocal functionexponential function