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Domain refers to the possible values of x

by observing the given graph we find that value of x ranges from 2 to -infinity

therefore

-infinity < x < 2

the right answer is option 2

Hope this helps

the domain of given exponential function is

-∞<x<∞

Given :

The graph of an exponential function .

Domain is the set of x values for which the function is defined.

To find out domain , we look at the x values on graph .

In the graph , we can see that there is no restriction for x value. It is a smooth graph with no jump or discontinuity. The graph goes for all values of x.

So the domain is set of all real numbers

Interval notation for the domain of given exponential function is

-∞<x<∞

option A is correct

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