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ja(x-b) f(x) = Rational functions of the form, (x -c),with a = 0 and b= cProject Overview To help achieve this goal you will be required to create a group presentation that summarizes key ideas about the families of curves we study. The project will ask you to consider several different families of functions. For each function family, you will give a brief description of what the function looks graphically. You will also answer the following questions if they are relevant to the function family (not all questions are relevant for each function). . Discuss the domain of the function. Do the parameter(s) impact the domain? Discuss the range of the function. Do the parameter(s) impact the range? . Does the function have x-intercept(s), if so, can they be written in terms of the parameter(s)? . Does the function have a y-intercept, if so, can it be written in terms of the parameter(s)? . Does the function have asymptote(s), if so, can they be written in terms of the parameters? . Does the function have any hole(s) in the graph, if so, can their coordinates be determined based on the parameter(s)? . Does the function have any turning points, if so, can their coordinates be determined based on the parameter(s)? . Discuss the end-behavior of the graph. Do the parameter(s) impact the end-behavior? . Is the function periodic? Do the parameter(s) impact the period? . Does the function have local extrema, if so, can they be written in terms of the parameters? . Discuss the concavity of the graph. Do the parameter(s) impact the concavity?4 + YIK J K Example Write-up: Fourth-degree Polynomial A fourth-degree polynomial is a function of the form: f (x) = ax +bx +ex- +dxte where a, b, c, d, and e are all constants with #0. A fourth-degree polynomial has a domain of all real numbers and its graph is going to be a continuous smooth curve. Fourth- degree polynomials will not have holes or asymptotes. They will have a least one turning point and could possibly have three turning points. A fourth-degree polynomial does not have to have x-intercepts but it can up to 4 of them. The end-behavior of the function is dependent on the a-value in the equation. When @ 2 0, as x goes to positive or negative infinity the y-values approach infinity. When