Harvard Graphing Calculator
The Harvard-style online function plotter: graph f(x) with roots, extrema and a value table.
Enter your values
Enter the function f(x) you are working with.
Enter the x minimum you are working with.
Enter the x maximum you are working with.
Results update instantly as you type — no submit needed. Your values are remembered on this device, and the shareable link reopens the calculator with exactly these numbers.
- 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.
At a glance
| What it does | The Harvard-style online function plotter: graph f(x) with roots, extrema and a value table. |
|---|---|
| Category | Math |
| Inputs needed | Function f(x), x minimum, x maximum |
| Main output | Roots (x-intercepts) |
| Cost | Free — no sign-up, no download |
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.
Inputs explained
- Function f(x)
- Enter the function f(x) you are working with.
- x minimum
- Enter the x minimum you are working with.
- x maximum
- Enter the x maximum you are working with.
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.
What do I need to enter into the Harvard Graphing Calculator?
Just 3 values: function f(x), x minimum, x maximum. Every field starts with a realistic example, so you can change one number at a time and watch the result update instantly.
How does the Harvard Graphing Calculator work out the 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. The working is shown step by step so you can verify the result by hand.
Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.