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# What exponential function represents the data in the table?

x | f(x) |

3 | 64 |

4 | 256 |

5 | 1024 |

**Solution:**

Here, the points from the table are (3, 64), (4, 256), and (5, 1024). We can observe a pattern here:

- 4
^{3}= 64 - 4
^{4}= 256 - 4
^{5}= 1024

Thus, the exponential function that represents the given data is: **f(x) = 4 ^{x}.**

## What exponential function represents the data in the table?

x | f(x) |

3 | 64 |

4 | 256 |

5 | 1024 |

**Summary: **

The exponential function that represents the data in the table is f (x) = 4^{x}.

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