Answer :
Answer:
B. All real numbers
Step-by-step explanation:
Given:
The function is given as:
[tex]f(x)=(\frac{1}{2})^x[/tex]
Domain is the input to a function represented by the values of 'x'. The domain defined a function's output which is also called as the range of the function.
The above function is an example of an exponential function. An exponential function is of the form:
[tex]f(x)=a^x[/tex] Where, 'a' is any number greater than 0.
Here, [tex]a=\frac{1}{2}=0.5>0[/tex]
The domain of an exponential function is not restricted and includes all real values. But, the range of an exponential function is always a positive number.
Hence, the domain of the given exponential function is not restricted and include all real numbers. So, option B is correct.
A graph of an exponential function is attached to support the answer.
