# Function Grapher and Calculator

../algebra/images/function-graph.js

## Description

Function Grapher is a full featured Graphing Utility that supports graphing up to 5 functions together.

You can also **save your work as a URL** (website link).

## Usage

### To plot a function just type it into the function box.

Use "x" as the variable like this:

Examples:

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

### Zooming and Re-centering

To zoom, use the zoom slider. To the left zooms in, to the 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 is 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(ax)

## All Functions

### Operators

+ | Addition operator | |
---|---|---|

- | Subtraction operator | |

* | Multiplication operator | |

/ | Division operator | |

^ | Exponent (Power) operator |

### Functions

sqrt |
Square Root of a value or expression. | |
---|---|---|

sin |
sine of a value or expression | |

cos |
cosine of a value or expression | |

tan |
tangent of a value or expression | |

asin |
inverse sine (arcsine) of a value or expression | |

acos |
inverse cosine (arccos) of a value or expression | |

atan |
inverse tangent (arctangent) of a value or expression | |

sinh |
Hyperbolic sine (sinh) of a value or expression | |

cosh |
Hyperbolic cosine (cosh) of a value or expression | |

tanh |
Hyperbolic tangent (tanh) of a value or expression | |

exp |
e (the Euler Constant) raised to the power of a value or expression | |

ln |
The natural logarithm of a value or expression | |

log |
The base−10 logarithm of a value or expression | |

floor | Returns the largest (closest to positive infinity) value that is not greater than the argument and is equal to a mathematical integer. | |

ceil | Returns the smallest (closest to negative infinity) value that is not less than the argument and is equal to a mathematical integer. | |

round | Round to the nearest integer. Examples: round(−2.5) = −2, round(-0.1) = 0, round(0.1) = 0, round(2.5) = 3 | |

abs | Absolute value (distance from zero) of a value or expression | |

sign | Sign (+1 or −1) of a value or expression |

### Constants

pi | The constant π (3.141592654...) | |
---|---|---|

e | Euler's number (2.71828...), the base for the natural logarithm |