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Given the graph of the exponential function, y = 2^x, the inverse of the function is y = log₂x.

In your notes, record four similarities you found in looking at the properties of the two functions.

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The y-intercept of the exponential function is a reverse of the x-intercept of the logarithmic function.
The horizontal asymptote of the exponential function corresponds to the vertical asymptote of the logarithmic function.
The domain of the exponential function is the same as the range of the logarithmic function.
The range of the exponential function corresponds to the domain of the logarithmic function.
The function y = 2^xcontains (1, 2) and the function y = log₂x contains (2, 1). The two points are inverses of each other.
The exponential function has no x-intercept and the logarithmic function has no y-intercept.
The logarithmic function and the exponential function are reflections of each other over the line y = x.