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Write a possible exponential function in form that represents each situation described below.

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

    Since it has an initial value of , the value of is .
    Substitute this into the general equation: .

    Substitute the values for and for , then solve for .

  2. Passes through the points and .

    Create two equations substituting the values of the ordered pairs for and into the equation .

    Solve the system of equations for and .

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