Here's the question you clicked on:
neverforgetvivistee
Exponential growth and decay: what exactly does 0<b<1mean? does this mean that b is a decimal?
no it means that b is between 0 and 1
which means it has to be a decimal
you cant have a whole number between 0 and 1
really? like for example 3.14?
how is 3.14 smaller then 1 and larger then 0?
and i don't really understand how the graph is supposed to be, how is it different from b > 1
no it has to be between 01 and 1
or perhaps the decimal \[\frac{1}{3}\]
I suppose it has to be of the form 1/a where a>1
point i was making is that 3.14 is a "decimal" but it is not less than 1 for that matter so is the decimal 100
But to get back to the actual question: if 0<b<1 then you have exponential decay: |dw:1322013206618:dw| If b>1 you have exponential growth: |dw:1322013236762:dw|
is it like 0. then whatever number?
0<b<1 means just what it says. that b is between 0 and 1. it may be represented by a decimal, or a fraction or maybe an irrational number like \[\ln(2)\]
oh so reading from left to right
satellite, the 3.14 logic is flawed. the relevance of 3.14 being decimal has nothing to do with 0<b<1. but I understand your point on the fractions and logarithmic functions
"decimal " is not a synonym for numbers between 0 and 1. decimal just means base ten representation
so the decimal has to be 0.whatever number?
like 0.8 or 0.08302
no 5 is a decimal, 19.95 is a decimal
for the 0<b<1
are you there?
I know. but the existence of a decimal larger than 1 does not influence the existence of a decimal less than 1 and greater than 0. just read your previous message about 3.14 closely. although this is a useless debate, the definition of a decimal was just misinterpreted and I agree with you on 0<b<1 not necessarily being decimal
but what kind of decimal does it have to be? something like 0.3 and 0.30823 or something like that?
in base 10, yes. anything like 0.05878 or 0.99 or w/e. just less than 1 and more than 0
ok thanks to all of you who answered it's clear now