Thank you for the opportunity to help you with your question!

First note that like all exponential functions f (0) = 1

now f(1) = 3

So for some value of x between 0 and 1 (say a) f (a) = √3 because the function is continuous.

Now since f (½) = 3 ^ ½ = √3,

we have to find the y- value (height) that corresponds to x = ½ on the graph of the function y = 3 ^x.

This should be roughly 1.73

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