Graphing Calculator — Step-by-Step Solutions
The Graphing Calculator lets you plot mathematical functions and visualise equations on an interactive graph. Enter one or more functions to see their graphs, identify intersections, and explore mathematical relationships visually.
Type a function of x (e.g. sin(x), x^2 - 4, or 1/x) and the calculator will plot it on a coordinate grid. You can adjust the viewing window to zoom in on areas of interest.
Your calculations will appear here
How to Use the Graphing Calculator
- Enter a function of x in the input field (e.g. sin(x), x^2 - 4, 1/x).
- You can enter up to 3 functions simultaneously to compare graphs.
- Adjust the x and y range to zoom in or out on areas of interest.
Formula and Theory
Graphing functions helps visualise mathematical relationships. Key features to look for include roots (x-intercepts), y-intercepts, maxima and minima, asymptotes, and intervals of increase or decrease.
Common function families include linear (y = mx + b), quadratic (y = ax^2 + bx + c), polynomial, rational, exponential, logarithmic, and trigonometric functions. Each has characteristic shapes and properties.
Worked Examples
Example 1: Plotting a parabola
Problem: Graph y = x^2 - 4
Solution: Enter x^2 - 4. The graph shows a parabola crossing the x-axis at x = -2 and x = 2
Answer: U-shaped curve with vertex at (0, -4)
Example 2: Comparing functions
Problem: Compare sin(x) and cos(x)
Solution: Enter sin(x) as function 1 and cos(x) as function 2
Answer: Two waves offset by pi/2, intersecting at x = pi/4 + n*pi
Frequently Asked Questions
What functions can I graph?
How do I find where two functions intersect?
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