What are the domain and range of the real-valued function f (x) = 2/x?

Select one:

a. The domain is all real numbers except 0. The range is all real numbers except 0. b. The domain and the range are all real numbers.

c. The domain is x>0. The range is f (x) >0.

d. The domain is all real numbers except 0. The range is all real numbers.

For this case we have the following function:

f (x) = 2 / x

We note that the denominator of the function is not defined for:

x = 0

Thus,

the domain is all the real distintios of zero.

the range is all the real distints of zero.

Answer:

a. The domain is all real numbers except 0. The range is all real numbers except 0.

The domain of a function is the set of all possible values of dependent variable.

The range of a function is the set of all possible results.

In the case above, the domain of f (x) = 2/x? is all real numbers of x except 0.

The range of f (x) = 2/x? is the set all real numbers except 0.

∴ From the choices, the given the answer is,

a. The domain is all real numbers except 0. The range is all real numbers except 0