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Home > CCA2 > Chapter 7 > Lesson 7.2.3 > Problem 7-150

7-150.

An exponential function passes through and . It also has an asymptote at .

  1. Find the equation of the function.

    Substitute 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 .

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

    Substitute and .