Chapter 4: Rational functions 1. What is the fundamental difference in the graphs of polynomial functions and rational functions? 2. What is the fundamental difference in the equation of a polynomial function and a rational function? 3. If the graph of a rational function has a hole, what must be true of the equation of the function? 4. Can a graph of a rational function have no vertical asymptote? If so, how? 5. Can a graph of a rational function have no x-intercepts? If so, how? Chapter 5: Composition of Functions, Inverses and Radical Functions 6. Explain why we cannot find inverse functions for all polynomial functions. 7. Why must we restrict the domain of a quadratic function when finding its inverse? B. When finding the inverse of a radical function, what restriction will we need to make? 9. The inverse of a quadratic function will always take what form? Chapter 6: Exponential and Logarithmic Function 10. Given a formula for an exponential function, is it possible to determine whether the function grows or decays exponentially just by looking at the formula? Explain. 11. How is the logarithmic function f (x) = log, xrelated to the exponential function g(x) = b*? What is the result of composing these two functions? 12. How can the logarithmic equation y = log, x be solved for x using the properties of i squeuodxe 13. The inverse of every logarithmic function is an exponential function and vice-versa. What does this tell us about the relationship between the coordinates of the points on the graphs of each? 14. What does the change-of-base formula do? Why is it useful when using a calculator? 15. When does an extraneous solution occur for logarithmic equations? How can an extraneous solution be recognized