Question

Identify the domain of the exponential function shown in the following graph: A curve runs just above the x axis through the second quadrant, passes through point 0 comma 1 and continues off screen near 1 comma 12.

Answer 1

The domain of the exponential function is all real numbers.

Answer 2

The domain of the given exponential function is all real numbers.

Explanation:

Domain is the set of inputs for which the given function is defined.

The general exponential function is

`f(x)=ab^x`

It is given that the graph passing through the point (0,1) and (1,12). It means the required equation must be satisfy by these points.

`1=ab^0`

`1=a`

`12=(1)b^1`

`12=b`

The required function is

`f(x)=1(12)^x`

This function is defined form all values of x, therefore the domain of the given exponential function is all real numbers.