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No calculators are to be used on these questions:

Give the basic points and only the basic points of the functions y = 2^x and y = x^-2.

Sketch a quick graph of both functions, showing only the basic points and your best approximation of the curve.

For each function sketch the basic points of the graph of y = -2 f(x - 3) + 5, and the graph of this function.  Give also the equation of each function.

The graph below depicts the basic points of a power function f(x).  Sketch its graph, and sketch the graph of y = -2 f(x-3) + 5.