Question

Lic/activity/6000001/assessment

Answer 1

Given:

The exponential function is:

$R(x)=(5.3)^x$

To find:

The domain of the given exponential function.

Solution:

We know that the general form of an exponential function is:

$f(x)=ab^x$

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

This function is defined for all real values of x, so the domain of these type of functions is the set of all real number.

We have,

$R(x)=(5.3)^x$

Here, a is 1 and b is 5.3. This function is defined for all real values of x

Therefore, the domain of these type of functions is the set of all real number or it can be written as $(-\infty,\infty)$.