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aliina [53]
3 years ago
6

Which of the following represents graph of f(x) = (1/2)^x

Mathematics
2 answers:
Alona [7]3 years ago
6 0

heyy, I know you posted this on 2017 and got no answers yet, well i need it this answer and it wasn't here, so i know the answer


The answer is The first one


Thank u :)

Tatiana [17]3 years ago
5 0

Answer:

The first option is correct.

Step-by-step explanation:

The given function is

f(x)=(\frac{1}{2})^x            .... (1)

The general exponential function is

f(x)=ab^x                         .... (2)

Where, a is initial value and b is the growth factor.

If b>1, then it is a growth function and its graph is an increasing curve.

If b<1, then it is a decay function and its graph is a decreasing curve.

On comparing (1) and (2) we get,

b=\frac{1}{2}

So, f(x) is a decreasing function.

Since f(x) is decreasing function, therefore the graph of the function decreases as the value of x increases. Option 1 is correct.

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