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TSI Math: Identifying the Asymptote of an Exponential Function 12 Views
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Description:
What is the asymptote of the function g(x) = 26ˣ + 13?
- Test Prep / TSI
- TSI / TSI Math
- TSI / TSI Mathematics
- Intermediate Algebra and Functions / Rational and Exponential Expressions, Equations, and Functions
- Intermediate Algebra and Functions / Rational and Exponential Expressions, Equations, and Functions
- TSI Mathematics / Intermediate Algebra and Functions
- Test Prep / TSI
- TSI Math / Intermediate Algebra and Functions
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
Full Transcript
- 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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