What is the equation of the oblique asymptote of the function y = z²+5z–1, I+1 O y = x – 1 O y = 0 O y = x + 6 O x = -1 O There is no oblique asymptote. O y = x + 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 64E
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z²+5z–1,
What is the equation of the oblique asymptote of the function y =
I+1
O y = x – 1
O y = 0
O y = x + 6
O x = -1
O There is no oblique asymptote.
O y = x + 4
Transcribed Image Text:z²+5z–1, What is the equation of the oblique asymptote of the function y = I+1 O y = x – 1 O y = 0 O y = x + 6 O x = -1 O There is no oblique asymptote. O y = x + 4
Fill in the blanks with all of the attributes of the rational function below.
(x+4)(x²–5æ+6)
y =
x²+4x
Simplified Equation:
Removable Discontinuity (Hole):
Vertical Asymptote(s): |
Horizontal Asymptote:
Oblique Asymptote:
X-Intercept(s):
Y-intercept:
(r+4)(r-3)(1-2)
(z-3)(x–2)
z³-r²-14z+24
: y =
: y =
: y =
: y = -5x+6
:: y=x
: y=x+5
: y=x-5
1(I+4)
:: x=3
: x=2
: x=0 and x=-4
: x=0
: x=-4
: y=0
:: y=-4
: y =
21
: (-4, - 4)
: (0, 0)
: (3, 0)
: (2, 0)
:: (3, 0) and (2, 0)
: (0, 2)
: (0, 3)
: none
Transcribed Image Text:Fill in the blanks with all of the attributes of the rational function below. (x+4)(x²–5æ+6) y = x²+4x Simplified Equation: Removable Discontinuity (Hole): Vertical Asymptote(s): | Horizontal Asymptote: Oblique Asymptote: X-Intercept(s): Y-intercept: (r+4)(r-3)(1-2) (z-3)(x–2) z³-r²-14z+24 : y = : y = : y = : y = -5x+6 :: y=x : y=x+5 : y=x-5 1(I+4) :: x=3 : x=2 : x=0 and x=-4 : x=0 : x=-4 : y=0 :: y=-4 : y = 21 : (-4, - 4) : (0, 0) : (3, 0) : (2, 0) :: (3, 0) and (2, 0) : (0, 2) : (0, 3) : none
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