# TSI Math: Identifying the Asymptote of an Exponential Function

What is the asymptote of the function g(x) = 26ˣ + 13?

Intermediate Algebra and Functions | Rational and Exponential Expressions, Equations, and Functions |

Mathematics and Statistics Assessment | Rational and Exponential Expressions, Equations, and Functions |

Product Type | TSI |

TSI | Mathematics and Statistics Assessment TSI Math TSI Mathematics |

TSI Math | Intermediate Algebra and Functions |

TSI Mathematics | Intermediate Algebra and Functions |

Test Prep | TSI |

### Transcript

like ryan locked the approaching michael phelps but never quite

reaches Yeah all right Well the exponential function f of

x equals end to the x where n is any

number Has a horizontal assam toad Where f of x

is zero it's this line right here like basically why

is always zero Why you ask Well we have a

story for you there's no exponents x that makes into

the x equal to zero very small exponents make into

the axe close to zero but never actually it's mathematically

tantalizing teasing and the word for this mathematical tan feliz

ation is that assem tote thingy There doesn't quite touch

since this function has thirteen added to it well just

shifts up by thirteen units like that That means it

has a horizontal assen toad where g of x is

thirteen like g of exes always thirteen never anything else

so twenty six to the x approaches zero at thirteen

in the mix and twenty six to the x approaches

thirteen got it note that exponential functions don't have a

vertical assen toad However log arrhythmic functions dio and yeah

they're throwing every curveball in the book at your head

here So if you got this one well kudos to

you The answer is d ah horizontal assam towed at 00:01:36.81 --> [endTime] g of x equals thirteen