Harvard Graphing Calculator
The Harvard-style online function plotter: graph f(x) with roots, extrema and a value table.
Enter your values
ⓘ Live results
- Roots (x-intercepts)
- 0
- y-intercept
- 0
- Turning points
- (-8.1587, -3.4015), (-4.4077, -0.3684), (-1.8755, -1.5166), (1.8755, 1.5166), (4.4077, 0.3684), (8.1587, 3.4015)
| x | f(x) |
|---|---|
| -10 | -2.45598 |
| -8 | -3.38936 |
| -6 | -1.52058 |
| -4 | -0.4432 |
| -2 | -1.5093 |
| 0 | 0 |
| 2 | 1.5093 |
| 4 | 0.4432 |
| 6 | 1.52058 |
| 8 | 3.38936 |
| 10 | 2.45598 |
Quick answer
The Harvard graphing calculator is a free browser-based function plotter: type f(x), set the x-window, and it draws the curve and lists roots and turning points.
How to use the Harvard Graphing Calculator
- 1Type a function of x.
- 2Set the viewing window.
- 3Read the graph, roots, turning points and value table.
Worked example
Using the values the calculator loads with:
Inputs
- Function f(x)sin(x) + 0.3x
- x minimum-10
- x maximum10
Results
- Roots (x-intercepts)0
- y-intercept0
- Turning points(-8.1587, -3.4015), (-4.4077, -0.3684), (-1.8755, -1.5166), (1.8755, 1.5166), (4.4077, 0.3684), (8.1587, 3.4015)
Frequently asked questions
What is the Harvard graphing calculator?
It is a free online graphing tool in the style of the Harvard maths courses: you type a function of x, choose a window, and it plots the curve with roots and turning points listed underneath.
Which functions are supported?
Polynomials, trig (sin, cos, tan and inverses), exponentials, ln, log, sqrt, cbrt, abs and combinations of them with + − × ÷ and ^.
Is it free?
Yes, completely free with no sign-up, and it runs in the browser on phone or desktop.
About this calculator
- Built and reviewed by James Whitfield · How we build and test calculators
- Report an error
Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.