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Solving Equations and Inequalities Graphically

Using a graphing calculator: LEARN how to change the viewing window.
Zoom 6: Standard Screen

Graph: y₁ =x³ - 4x² -129x + 396

An appropriate viewing window should show relative max, relative min, intercepts; or we may
want to zoom in or out to see intersection of lines.

Graphing a circle: x² +y² = 9

The graphical solution to: 2x = 6 -x

Algebraic solution gives exact solution, whereas graphing solution is often an approximations.
Graph:

•Do these lines intersect?

Solve: over the interval [ 1, 6 ].

Solving equations graphically x² + 5x + 6 > 0

Solving equations graphically x³ - 4x²-129x + 396 > x² + 6x + 125

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Solving Equations and Inequalities Graphically