http://prntscr.com/hijvll
@dude There is no y-intercept of 5 on any graph O.o o.O
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?
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
you said that already dude
I made the equation bigger :P
y is getting closer to 6?
which is bigger? 1/4 or 1/64 ?
1/4
1/64 = .64 1/4 = .25
as x is getting bigger we see 5 1/4 -> 5 1/16 -> 5 1/64 so this is getting closer to?
to another fraction
LOL
1/256
1/1024
1/4096
1/16384
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
1/65536
which graph looks like it's getting closer and closer to 5 as x increases?
A
\[\it Horizontal~Asymptote=5\]
there you go
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