Easy math problems!!!!!
2 answers:
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Answer:
f(x) =
Step-by-step explanation:
The given options are,
a) f(x) =
b) f(x) =
c) f(x) =
d) f(x) =
Now, among the given options only option (a) satisfies the criteria stated in the question i. e.,
1. f(x) → 0 as x → - ∞ and
2 f(0) = 1
so, the correct answer is,
f(x) =
The general formula for exponential growth and decays is:
if k>0 then then it is an exponential growth function. If k<0 then the function represents an exponential decay.
Now we need to classify each of the functions:
1.
The function
can be wrtten as:
comparing with the general formula we notice that k=2, therefore this is an exponential growth.
2.
The function
can be written as:
comparing with the general formula we notice that k=-4, therefore this is an exponential decay.
3.
The function
comparing with the general formula we notice that k=-1, therefore this is an exponential decay.