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TSI Math: Identifying the Asymptote of an Exponential Function 9 Views


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Description:

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


Transcript

00:02

Okay sy math shmoop er's this one's on rational and

00:05

exponential expressions equations and functions All right first question What

00:09

is thie assam tote of the function G of x

00:12

equals twenty six to the x plus thirteen Ask himto

00:20

remember that doesn't touch it comes almost They're kind of

00:24

like ryan locked the approaching michael phelps but never quite

00:27

reaches Yeah all right Well the exponential function f of

00:30

x equals end to the x where n is any

00:32

number Has a horizontal assam toad Where f of x

00:35

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

00:40

is always zero Why you ask Well we have a

00:43

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

00:46

the x equal to zero very small exponents make into

00:50

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

00:54

tantalizing teasing and the word for this mathematical tan feliz

00:58

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

01:01

since this function has thirteen added to it well just

01:04

shifts up by thirteen units like that That means it

01:07

has a horizontal assen toad where g of x is

01:11

thirteen like g of exes always thirteen never anything else

01:14

so twenty six to the x approaches zero at thirteen

01:18

in the mix and twenty six to the x approaches

01:21

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

01:25

vertical assen toad However log arrhythmic functions dio and yeah

01:29

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

01:31

here So if you got this one well kudos to

01:33

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

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