keisoku

Function Graph Plotter f(x)

Type an expression such as sin(x) or x^2-2 and instantly plot its graph over a chosen x range. Maximum, minimum, zeros, and sample point values are shown alongside.

Input

f(x)=

Example expressions (tap to fill in)

sin(x)
x^2 - 2
x^3 - x
exp(-x^2)
1/x
abs(x) - 1
pts

Operators: + - * / ^ (power). Functions: sin cos tan asin acos atan sinh cosh tanh exp log (natural log) ln log10 sqrt cbrt abs. Constants: pi (π), e. The only variable is x.

Result

f(x) = sin(x)

-1 ≦ f(x) ≦ 1

-1-0.500.51-6-4-20246

Maximum

1

x = 1.57

Minimum

-1

x = -1.57

Zeros (x-axis crossings)

3

-3.142, 0, 3.142

Sample point values

xf(x)
-6.280.0032
-5.0240.9518
-3.7680.5862
-2.512-0.5888
-1.256-0.9509
00
1.2560.9509
2.5120.5888
3.768-0.5862
5.024-0.9518
6.28-0.0032

How it works

  • Enter a function f(x) together with the minimum and maximum x, and the tool draws the graph over that interval automatically. A larger number of points yields a smoother curve (200 points when left blank).
  • Usable operators are + - * /, the power operator ^ (or **), parentheses, and unary minus. Implicit multiplication such as 2x or 2sin(x) is also supported.
  • Supported functions: sin, cos, tan, asin, acos, atan, sinh, cosh, tanh, exp, log (natural log), ln, log10, sqrt, cbrt, abs. The constants pi (π) and e are available, and the only variable is x. Trigonometric angles are treated in radians.
  • Below the graph, the tool shows the maximum and minimum within the input range (each with the x value where it occurs) and the approximate positions of the zeros where the curve crosses the x-axis.
  • The sample point table lists x and f(x) values at equally spaced points across the range. Points outside the domain (such as the square root of a negative number, or 1/x at x=0) are shown as "Out of domain".
  • Your expression and the results are never sent anywhere; everything is processed inside your browser, so you can use it with peace of mind.