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Write a possible exponential function in form for each graph described below.

  1. Has a -intercept of and passes through the point .

    Substitute the coordinates of each of the given points into the general equation .
    This creates a system of equations that can be solved for and .

    Substitute the values for and for , then solve for .

  2. Passes through the points and .

    Create two equations substituting the coordinates of the points into the equation .

    Solve the system of equations for and .

    Be sure you use your results for and to write the equation.