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Pixel:
@dude There is no y-intercept of 5 on any graph O.o o.O
Angle:
0.25 = 1/4
if x = 1
(1/4)^1 + 5 = 5 1/4
if x = 2
(1/4)^2 + 5 = (1/16) + 5 = 5 1/16
if x = 3
(1/4)^3 + 5 = (1/64) + 5 = 5 1/64
as x is getting bigger, what is y getting closer and closer to?
dude:
Okay the exponential equation is written in
\[\large y=a\cdot b^{x-c}+d\\
Where~d~equals~the~vertical~translation\]
d does not always indicate y-intercept
Pixel:
you said that already dude
dude:
I made the equation bigger :P
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Pixel:
y is getting closer to 6?
Angle:
which is bigger?
1/4 or 1/64 ?
Pixel:
1/4
Pixel:
1/64 = .64
1/4 = .25
Angle:
as x is getting bigger we see
5 1/4 -> 5 1/16 -> 5 1/64
so this is getting closer to?
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Pixel:
to another fraction
dude:
LOL
Pixel:
1/256
Pixel:
1/1024
Pixel:
1/4096
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Pixel:
1/16384
Angle:
and it keeps getting smaller and smaller
until that no longer matters
visually
the graph looks like it's getting closer and closer to 5
Pixel:
1/65536
Angle:
which graph looks like it's getting closer and closer to 5 as x increases?
Pixel:
A
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