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61. Challenge Problem The standard form of the rational mx + b c + 0, is R(x) = a + k. function R(x) %3D - Cx + d' To write a rational function in standard form requires polynomial division. 2x + 3 in standard %3D (a) Write the rational function R(x) X - 1 e form by writing R in the form remainder Quotient + divisor (b) Graph R using transformations. (c) Find the vertical asymptote and the horizontal asymptote Xn of R.

61. Challenge Problem The standard form of the rational mx + b c + 0, is R(x) = a + k. function R(x) %3D - Cx + d' To write a rational function in standard form requires polynomial division. 2x + 3 in standard %3D (a) Write the rational function R(x) X - 1 e form by writing R in the form remainder Quotient + divisor (b) Graph R using transformations. (c) Find the vertical asymptote and the horizontal asymptote Xn of R.

Calculus: Early Transcendentals
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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61. Challenge Problem The standard form of the rational the course. The purpose of these problems is to keep the material fresh in your x-intercept,r, (c) Use Newton's Method to approximate an 3 <r< 5, of p (x) to four decimal places. тx + b # 0, is R(x) = + k. function R(x) X - h %3D Cx + d' To write a rational function in standard form requires polynomial division. ng he 2x + 3 in standard %3D (a) Write the rational function R(x) x -1 ose form by writing R in the form remainder Quotient + divisor (b) Graph Rusing transformations. (c) Find the vertical asymptote and the horizontal asymptote of R. place 62. Challenge Problem Repeat Problem 61 for the rational - бх + 16 function R(x) 2х - 7 63. Challenge Problem Make up a rational function that has y = 2x + 1 as an oblique asymptote. izontal equals 66. If the graph of a rational function R has the vertical 4, the factor x-4 must be present i asymptote x = denominator of R. Explain why. both a
Transcribed Image Text:61. Challenge Problem The standard form of the rational the course. The purpose of these problems is to keep the material fresh in your x-intercept,r, (c) Use Newton's Method to approximate an 3 <r< 5, of p (x) to four decimal places. тx + b # 0, is R(x) = + k. function R(x) X - h %3D Cx + d' To write a rational function in standard form requires polynomial division. ng he 2x + 3 in standard %3D (a) Write the rational function R(x) x -1 ose form by writing R in the form remainder Quotient + divisor (b) Graph Rusing transformations. (c) Find the vertical asymptote and the horizontal asymptote of R. place 62. Challenge Problem Repeat Problem 61 for the rational - бх + 16 function R(x) 2х - 7 63. Challenge Problem Make up a rational function that has y = 2x + 1 as an oblique asymptote. izontal equals 66. If the graph of a rational function R has the vertical 4, the factor x-4 must be present i asymptote x = denominator of R. Explain why. both a
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