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Showing posts from August 20, 2026

Animated Graph of Function

📘 Mathematics-I Interactive notes on mathematical functions, their domains, ranges, properties and animated graphs. Functions and Their Graphs A function describes a relationship between an input x and an output f(x) . Different functions produce characteristic curves. Click any function below to expand the section. The graph will then be drawn automatically. 1. Exponential Functions eˣ Exponential Function ⌄ f(x) = e x Domain ℝ Co-domain ℝ Range (0, ∞) The value of e x is always positive. The x-axis is a horizontal asymptote. ▶ Replay Graph 2ˣ Exponential Function ⌄ f(x) = 2 x Domain ℝ Co-domain ℝ Range (0, ∞) The graph passes through (0,1) and increases rapidly as x increases. ▶ Replay Graph 2. Trigonometric Functions sin Sine Function ⌄ f(x) = sin x Domain ℝ Co-domain ℝ Range ...