# Function Grapher and Calculator

## Description

Function Grapher is a full featured Graphing Utility that supports graphing two functions together.

It has the unique feature that you can **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, or choose your own letter, then press the **Plot** button.

Examples:

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

You can use the "Calculate" button to see how your formula has been interpreted.

### Zooming and Re-centering

To zoom into an area, select an area with the mouse (click, hold down and drag, then release). The area you selected will be the new bounds. This will result in the x and y scales being different.

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

You can zoom out using the **Out 2X **or** Out 10x** button.

To reset the zoom to the original bounds 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(a*x)

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

You can change the smallest and largest value of "a" by changing the numbers at the start end end of the slider.

## 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. | |

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 |