Respuesta :

The graph of the exponential function can be seen at the end of the answer.

How to graph the given function?

Here we have the exponential function:

[tex]g(x) = \frac{1}{2} *2^x[/tex]

We can simplify this to get:

[tex]g(x) = \frac{1}{2} *2^x = 2^{x - 1}[/tex]

notice that when x = 0, we have:

[tex]g(0) = 2^{0 - 1} = 1/2 = 0.5[/tex]

[tex]g(1) = 2^{1 - 1} = 1[/tex]

[tex]g(2) = 2^{2 -1} = 2[/tex]

Now that we have 3 points (0, 0.5), (1, 1) and (2, 2), we can graph them and then complete the exponential curve such that passes through these.

The graph is the one you can see below.

If you want to learn more about exponential functions:

https://brainly.com/question/11464095

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