11Rational functionЗx? +15х-18r(x) =X+x- 6(a) Find its two end behaviors.(b) Find all x-intercepts; find the y-intercept. Plot these points on an xy-plane.(c) Find any Vertical Asymptotes.(d) Graph the rational function.On your graph, make sure to label dashed-line asymptotes.Write the function's Domain as a union U of open intervals from -o to o along the x-axis.

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Answered: Rational function 3x +15x – 18 r(x) = X…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Graph the funcrtion, find the domain, range, internal notation
hello please help me with this problem: Consider the function f(x) = x4 − 4x3 + 10. Your goal is to graph this function without the use of a calculator. Show all work. a) Calculate the domain, y-intercept(s) and any asymptotes of f(x).(CALCULA TE) b) Locate the intervals of increase and decrease, and the intervals of concavity of f(x) (ANALYZE) c) Use the information from (b) to locate any local maxima or minima, and any inflection points of f(x). Justify the local extrema with either the first or second derivative test. (INTERPRET) d) Graph f(x). Be sure to label and show a scale on both axes. (REPRESENT)
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