Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size Small Size show me how

Normal Size Small Size show me how

# Module 23

### Exponential Functions & Exponential Growth & Decay Functions

Question | Answer |
---|---|

Exponential Function | A function of the form f(x)=b^x b>0, b is not 1 & x is a real number |

Solve for x 2^x=16 | <p>2^x=16</p> <p>2^4=16</p> <p>x=4</p> |

Solve for x 3^x=9 | <p>3^x=9</p> <p>3^2=9</p> <p>x=2</p> |

Solve for x 10000^x=100000 | <p>10000^x=100000</p> <p>(10^4)^x=10^5</p> <p>10^4x=10^5</p> <p>4x=5</p> <p>x=5/4</p> |

One type of uranium has a daily radioactive decay of 0.5%. If 10 pounds of uranium is available today, how much will remain after 10 days. Use y=10(2.7)^-0.005t let t be 10 days | <p>y=10(2.7)^-0.005(10)</p> <p>y=10(2.7)^-0.05</p> <p>y=10(0.95155)</p> <p>y~9.55 lbs</p> |

Exponential Growth | y=C(1+r)^x where C is the initial amount, x is the time interval, r is the growth rate (often %) and (1+r) is growth factor |

Find the exponential growth Original amount is $300 Growth rate is 5% Number of years is 8 | <p>y=C(1+r)^x</p> <p>y=300(1+0.05)^8</p> <p>y=300(1.48)</p> <p>y~444</p> |

Exponential Decay | y=C(1-r)^x Where C is the initial amount, r is the decay rate (often %), x is the number of time intervals, (1-r) is decay factor |

Created by:
dvf2bu