Graphing Calculator
Plot functions, analyze curves, and visualize math.
Graph Settings
- • Power:
x^2orx^3 - • Multiply:
2*x(not 2x) - • Trig:
sin(x),cos(x) - • Root:
sqrt(x) - • Log:
log(x)
Function Plot
Coordinate Table
| X | f(x) | g(x) |
|---|
What is a Graphing Calculator?
[Image of graphing calculator plot]A graphing calculator allows you to visualize mathematical equations. Instead of just seeing numbers, you see the "shape" of the math. This is essential for understanding algebra, calculus, and physics.
By plotting a function like y = x^2, you can instantly see that it forms a parabola (a U-shape). By plotting y = 2*x + 1, you see a straight line with a slope.
Key Concepts in Graphing
1. The Coordinate Plane
The graph is drawn on a grid. The horizontal line is the X-axis (inputs), and the vertical line is the Y-axis (outputs). Every point on the line represents a solution to your equation.
2. Linear Functions
Equations like y = mx + c (e.g., 2*x + 1) create straight lines.
m (Slope): How steep the line is.
c (Intercept): Where the line crosses the vertical Y-axis.
3. Quadratic Functions
Equations with x^2 (e.g., x^2 - 4) create curves called parabolas. These are used to model gravity, projectile motion, and profit/loss curves.
4. Trigonometric Functions
Equations with sin(x), cos(x), or tan(x) create waves. These repeat over and over and are used to model sound waves, light, and tides.
Syntax Guide
To ensure the calculator understands your math, follow these rules:
| Operation | Type This | Example |
|---|---|---|
| Addition/Subtraction | +, - | x + 5 |
| Multiplication | * | 2 * x (Avoid "2x") |
| Division | / | x / 2 |
| Power / Exponent | ^ | x^2, x^3 |
| Square Root | sqrt() | sqrt(x) |
| Trigonometry | sin(), cos() | sin(x) |
| Pi | pi | 2 * pi * x |