📈 Graphing Calculator

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Functions
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x=0 y=0
What is this?

The Graphing Calculator plots mathematical functions on a coordinate plane, letting you visualize equations, explore slopes, find intersections, and watch how changes affect curves.

Why does it matter?

Graphs turn abstract equations into visible patterns. This skill is essential for algebra, calculus, physics, and data analysis — and used daily by engineers and scientists worldwide.

Key terms
Function — a rule that gives exactly one output for each input: y = f(x) Slope — the steepness of a line; rise over run (Δy / Δx) Intercept — where a graph crosses an axis (x-intercept: y=0; y-intercept: x=0) Domain — the complete set of valid x-values a function can accept Range — the set of output y-values a function can produce Intersection — a point where two graphs meet; a solution to both equations simultaneously
🎯 Try this challenge

Plot y = x² and y = 2x on the same graph. Where do the curves intersect? Solve algebraically (set x² = 2x), then confirm visually. Add y = −x + 4 and find where it crosses the parabola.

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