Inequality Grapher

Description :: All Functions

../algebra/images/inequal-graph.js

Description

Inequality Grapher is a full featured Graphing Utility that supports graphing multiple functions together, and shading the areas less than or greater than each function.

It can be used to solve sets of inequality questions, and is useful in linear programming.

Usage

To plot a function just type it into the function box. Use "x" as the variable.

Examples:

  • sin(x)
  • 2x-3
  • cos(x^2)
  • (x-3)(x+3)

Choosing the Inequality Sign

Next to each formula box, you can choose the sign you want:

Remember: Dashed means "not including the boundary line" (like a strict < or >). Solid means "including the boundary line" (like ≤ or ≥).

Zooming and Re-centering

To zoom, use the zoom slider. Left zooms in, right zooms out. When you let go of the slider it goes back to the middle so you can zoom more.

You can click-and-drag to move the graph around.

If you just click-and-release (without moving), then the spot you clicked on will be the new center

To reset the zoom to the original, click on the Reset button.

Using "a" Values

There's a slider with "a=" on it. You can use "a" in your formula and then use the slider to change the value of "a" to see how it affects the graph.

Examples:

  • x^a
  • 2x-3a
  • sin(a*x)

Note how I used a*x to multiply a and x. If I used ax (or xa) the program just gets confused.

Saving Your Work

You can print using the print button.

You can save the graph to disk.

All Functions

Operators

+
Addition operator
-
Subtraction operator
*
Multiplication operator
/
Division operator
^
Exponent (Power) operator
()
Parentheses (brackets)

Functions

Make sure you have chosen radians or degrees with sin, cos, tan and so on.
sqrt
sin
cos
Cosine
tan
Tangent
asin
Inverse sine (arcsine)
acos
Inverse cosine (arccos)
atan
Inverse tangent (arctangent)
sinh
cosh
Hyperbolic cosine
tanh
Hyperbolic tangent
ln
The natural logarithm
log
The base-10 logarithm
abs
Absolute value (distance from zero)
sign
1 for positive, −1 for negative, and 0 for zero
round
round to nearest integer
largest integer not greater than the input value
smallest integer not less than the input value
fact
factorial function

Constants

pi
The constant π (3.14159265...)
e
Euler's number (2.71828...), the base for the natural logarithm