Math
Scientific calculator
Evaluate scientific expressions with DEG/RAD modes, trigonometry, logarithms, powers, roots, constants, memory, and history.
Calculators / Math / Function graph
Function graph calculator
Plot a real-valued function of x across a selected interval.
On this page
f(minimum x)21
f(midpoint)-4
f(maximum x)21
Calculator controls
How to calculate
Plot a real-valued function of x across a selected interval.
Evaluate the entered expression at evenly spaced x-values across the selected interval.
Worked example
Function y = f(x): x^2-4; Minimum x: -5; Maximum x: 5.
f(minimum x): 21 ; f(midpoint): -4 ; f(maximum x): 21 .
Assumptions and limits
The graph supports the same explicit operators and functions as the scientific calculator. Discontinuities and values outside the real-number range are omitted.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
The graph samples the function across the selected interval and connects valid neighboring points. The table provides a non-visual representation of those samples.
When this tool is useful
Explore the shape, zeros, turning behavior, and scale of a mathematical function.
Understanding your inputs
| Input | What to enter |
|---|---|
| Function y = f(x) | Enter the value in the format shown. |
| Minimum x | Enter a number of at least -1000000 and no more than 1000000. |
| Maximum x | Enter a number of at least -1000000 and no more than 1000000. |
Frequently asked questions
Which expressions are supported?
Use x, numbers, parentheses, +, −, *, /, ^, sin, cos, tan, sqrt, ln, log, exp, abs, floor, ceil, pi, and e. Use explicit multiplication such as 2*x.
Is the graph a mathematical proof?
No. Sampling can miss narrow features or discontinuities. Use algebraic or calculus methods when an exact conclusion is required.