Find the intercepts and asymptotes. (If an answer does not exist, enter DNE. Enter your asymptotes as a comma-separated list of equations if necessa 2x² + 10x – 12 x² + x – 6 r(x) x-intercept (x, y) = ( | (smaller x-value) x-intercept (х, у) - (larger x-value) (x, y) = ( [ y-intercept vertical asymptote(s)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.4: More Quadratic Functions And Applications
Problem 59PS
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Find the intercepts and asymptotes. (If an answer does not exist, enter DNE. Enter your asymptotes as a comma-separated list of equations if necessary.)
2x2 + 10x – 12
r(x)
x² + x – 6
x-intercept
(х, у) %D
(smaller x-value)
x-intercept
(х, у) %3D
(larger x-value)
y-intercept
(х, у) %3
vertical asymptote(s)
horizontal asymptote
Sketch a graph of the rational function.
y
15p
10
10
-15
- 10
-5
10
15
- 15
- 10
10
15
10
10
15
15
10
10
5
- 15-10
5 10 -45
15-10
-5
_10_--_15
10
-10
-15
State the domain and range. Use a graphing device to confirm your answer. (Enter your answers using interval notation.)
domain
range
Transcribed Image Text:Find the intercepts and asymptotes. (If an answer does not exist, enter DNE. Enter your asymptotes as a comma-separated list of equations if necessary.) 2x2 + 10x – 12 r(x) x² + x – 6 x-intercept (х, у) %D (smaller x-value) x-intercept (х, у) %3D (larger x-value) y-intercept (х, у) %3 vertical asymptote(s) horizontal asymptote Sketch a graph of the rational function. y 15p 10 10 -15 - 10 -5 10 15 - 15 - 10 10 15 10 10 15 15 10 10 5 - 15-10 5 10 -45 15-10 -5 _10_--_15 10 -10 -15 State the domain and range. Use a graphing device to confirm your answer. (Enter your answers using interval notation.) domain range
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