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. ICan a graph of a rational function have no vertical asymptote? If so, how? IGan a graph of a rational function have no xintercepts? If so, how? E-"' Chapter 5: Composition of Functions. lnverssa and Radical Functions 6. Explain why we cannot find inverse functions for all polynomial functions. 1". 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 ti: Exponential and Logarithmic Function 1E]. 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 ffx) = log, xrelated to the exponential function gxj = 11"? What is the result of composing these two functions? 12. How can the logarithmic equation 3-; = log;Jl x be solved for 3:" using the properties of exponents? 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? in. 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 he recognized