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Rational Function

Questions: 1. What are the x and y-intercepts of the rational function? 2. Show the x-intercept and y-intercept. Move the sliders. 2a. What value/s affect the x-intercept? 2b. What value/s affect the y-intercept? 2c. How to determine the x-intercepts of the rational function based on the value of a, b, c and d? 2d. How to determine the y-intercept of the rational function based on the value of  a, b, c and d? 3. Show the horizontal and vertical asymptotes of the rational function. Move the sliders. 3a. What value/s affect the position of the vertical asymptote? 3b. What value/s affect the position of the horizontal asymptote? 3c. How to determine the vertical asymptote based on the value of a, b, c and d? 3d. How to determine the horizontal asymptote based on the value of a, b, c and d? 4. How to find the domain and range of the rational function based on the horizontal and vertical asymptotes?