f(x) = -3x² - 6x 2x² - 4x + 2 = -3x(x + 2) 2(x - 1)²

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 61E
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Did I do this right? And how do I know if there is holes?

f(x) =
0=-3x (x+2)
FEATURES:
(Write "none" where appropriate.)
Equations of all vertical asymptotes:
x=1
(x,y)-coordinates of all intercepts:
(0,0), (-2,0)
(0,0)
-3.0(01+2)
о
2((0)-1)²2 (0-1)/² = 1 = 0
(x,y)-coordinates of all "holes":
Equation for horizontal asymptote:
y= -3/2
-3x(x + 2)
2(x - 1)²
-3×(x+2) = 0
Equation for slant asymptote:
No slant asymptote
-3x² - 6x
2x² - 4x + 2
x+2=0x20
-2 -2 X2-2
x=
AAJAL
Transcribed Image Text:f(x) = 0=-3x (x+2) FEATURES: (Write "none" where appropriate.) Equations of all vertical asymptotes: x=1 (x,y)-coordinates of all intercepts: (0,0), (-2,0) (0,0) -3.0(01+2) о 2((0)-1)²2 (0-1)/² = 1 = 0 (x,y)-coordinates of all "holes": Equation for horizontal asymptote: y= -3/2 -3x(x + 2) 2(x - 1)² -3×(x+2) = 0 Equation for slant asymptote: No slant asymptote -3x² - 6x 2x² - 4x + 2 x+2=0x20 -2 -2 X2-2 x= AAJAL
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