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BartSMP [9]
3 years ago
5

Which of these statements is true for f(x)=(1/2)^x ?

Mathematics
2 answers:
Anarel [89]3 years ago
5 0

Answer:

C

Step-by-step explanation:

We are given that a function

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

It can be write as

y=f(x)=2^{-x}

Taking log on both sides

logy=-xlog2

Differentiate w.r.t x

\frac{1}{y}\frac{dy}{dx}=-log 2

\frac{d(logx)}{dx}=\frac{1}{x}

\frac{dy}{dx}=-ylog2=-2^{-x}log2 for all x

When f'(x) <0 then function is decreasing.

Hence, given function is decreasing function.

Substitute x=0 then we get

f(0)=1 Because (a^0=1)

Therefore, y intercept is (0,1).

Domain pf function f(x)=R

Range of given function :(0,\infty)

Hence, option C is true.

s2008m [1.1K]3 years ago
3 0

Answer:

The answer is c


Step-by-step explanation:


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