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The graph of an exponential function passes through and . It also has an asymptote at .

  1. What is the equation of the function?

    Substitute for and then use the points to write a system of equations.

    Rewrite each equation by subtracting from both sides.

    Solve the first equation for .

    Substitute for in the second equation.

    Solve for .

    Substitute for to solve for .

  2. If the function also passes through , what is the value of ?

    Substitute for and for .