Decide whether the table below represents exponential growth or decay, then write a rule for it

x |
y |

-2 |
0.125 |

-1 |
0.5 |

0 |
2 |

1 |
8 |

2 |
32 |

We can see from the table that this is an example of exponential growth, so choice A and C are not correct.

We know that the value must be 2 because when x is 0 y is 2, so y = 2 × 4^{x}

Choice B Is correct.