The equation of an **exponential function** is:

Given a positive real number **a**, the function that every real number x which corresponds to the power **a ^{x}** is called an

**exponential function**.

x | y = 2^{x} |
---|---|

-3 | 1/8 |

-2 | 1/4 |

-1 | 1/2 |

0 | 1 |

1 | 2 |

2 | 4 |

3 | 8 |

x | y = (1/2)^{x} |
---|---|

-3 | 8 |

-2 | 4 |

-1 | 2 |

0 | 1 |

1 | 1/2 |

2 | 1/4 |

3 | 1/8 |

Domain : .

Range: .

It is continuous.

The points (0, 1) and (1, a) belong to the graph.

Increasing if a > 1.

Decreasing if a <1.

The curves y = a^{x } and y = (1/a)^{x } are symmetrical about the y-axis .

The platform that connects tutors and students