Find the domain, range, asymptote, the x and y intercepts then graph:  y= f(x)= 3^(x-2)

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The function y = f(x) = 3^(x - 2). The domain of f(x) is the set of real numbers R. The range is the set (0, inf.)

The graph of y = 3^(x - 2) is :

The function does not intercept the x-axis as `3^(x - 2) != 0` ...

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The function y = f(x) = 3^(x - 2). The domain of f(x) is the set of real numbers R. The range is the set (0, inf.)

The graph of y = 3^(x - 2) is :

The function does not intercept the x-axis as `3^(x - 2) != 0` for any value of x.

3^(0-2) = 3^-2 = 1/9 is the y intercept.

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