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.

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The domain of the exponential function is all real numbers.

Answer:

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

Step-by-step explanation:

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

The general exponential function is

[tex]f(x)=ab^x[/tex]

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.

[tex]1=ab^0[/tex]

[tex]1=a[/tex]

[tex]12=(1)b^1[/tex]

[tex]12=b[/tex]

The required function is

[tex]f(x)=1(12)^x[/tex]

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

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