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
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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Please help me with 61
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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