ACT OF UNION BETWEEN THE EASTERN AND WESTERN CHEROKEES. WHEREAS, our fathers have existed as a separate and distinct Nation, in the possession and exercise of the essential and appropriate attributes of sovereignty, from a period extending into antiquity, beyond the records and memory of man; and
A surjective function f from the real numbers to the real numbers possesses an inverse as long as it is one-to-one, i.e. as long as the graph of y = f(x) has, for each possible y value only one corresponding x value, and thus passes the horizontal line test.
We've learned that an exponential function is any function where the variable is the exponent of a constant. Our basic exponential function is f(x) = b^x, where b is our base, which is a positive constant. All other exponential functions are modifications to this basic form. Transformations are changes to the graph.