Relationship between exponents and logarithms

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Write a word problem involving a quadratic function. How would you explain the steps in finding the solution to someone?

Is the compound interest formula (such as would be used to calculate a car loan) an example of a function? If yes, of what type of function is it an example? Why might you identify it with that type of function?

What is the relationship between exponents and logarithms? How would you distinguish between the two, using both a graph and a sequence?

Find the inverse function: f(x) = 3 x^2 - 5

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