Question

Lic/activity/6000001/assessment

1 Pretest: Unit 6
Question 1 of 21
What is the domain of the exponential function shown below?
Rx) = 5.3x

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)`.