Consider the following monster rational function fx x4 7x3

Consider the following \"monster\" rational function f(x) = x^4 -7x^3 -13x^2 + 79x + 84/x^4-8x^3 + 3x^2 +32x -28. Analyzing this function synthesizes many of the chapters. Answer exercises 119 through 128 in order. There will be a point of discontinuity for x = 7 What are the x-intercepts of the graph of f? The x-intercepts of the graph of f are (-1, 0), (-3, 0), (4.0) (Type an ordered pair. Use a comma to separate answers as needed.) What is the y-intercept of the graph of f? The y-intercept of the graph of f is (0, -3) (Type an ordered pair.) Find the equations of the vertical asymptotes The equations of the vertical asymptotes are x = 1, -2, 2 (Use a comma to separate answers as needed.) Determine the point or points of intersection of the graph of f with its horizontal asymptote. The point(s) of intersection is/are (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Use a comma to separate

Solution

The asymptote of the curve never intersects with the curve at any finite distance.