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Applied Mathematics · Ch 8 — Calculus

Graphical Representation of Functions

8.3

Graphical Representation of Functions

Graphs turn abstract functions into something you can see. Instead of just working with symbols like f(x)=x2f(x) = x^2, you get a curve that shows how the output changes with the input — a picture of the relationship itself. This visual language makes it far easier to spot patterns, understand behaviour, and later grasp the core ideas of calculus like limits and slopes. Once you can read a graph, you are no …