Find the vertical, horizontal, and oblique asymptotes, if any, for the given rational function. 6x2 + 17x- 14 R(X) = 3x - 2 Find the vertical asymptotes, Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The function has one vertical asymptote, (Type an equation. Use integers or fractions for any numbers in the equation.) O B. The function has two vertical asymptotes. The leftmost asymptote is (Type equations. Use integers or fractions for any numbers, in the equations.) and the rightmost asymptote is O C. The function has no vertical asymptote. Find the horizontal asymptotes. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The function has one horizontal asymptote,. (Type an equation. Use integers or fractions for any numbers in the equation.) O B. The function has two horizontal asymptotes. The top asymptote is (Type equations. Use integers or fractions for any numbers in the equations.) and the bottom asymptote is O C. The function has no horizontal asymptote. Find the oblique asymptotes. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The function has one oblique asymptote, (Type an equation. Use integers or fractions for any numbers in the equation) O B. The function has two oblique asymptotes. The oblique asymptote with negative slope is (Type equations. Use integers or fractions for any numbers in the equations.) and the oblique asymptote with positive slope is O C. The function has no oblique asymptote.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section4.2: Graphs Of Rational Functions
Problem 40E
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Find the vertical, horizontal, and oblique asymptotes, if any, for the given rational function.
6x2 +17x- 14
R(x) =
3x-2
Find the vertical asymptotes. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. The function has one vertical asymptote,
(Type an equation. Use integers or fractions for any numbers in the equation.)
O B. The function has two vertical asymptotes. The leftmost asymptote is and the rightmost asymptote is
(Type equations. Use integers or fractions for any numbers, in the equations.)
O C. The function has no vertical asymptote.
Find the horizontal asymptotes. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your cheice.
O A The function has one horizontal asymptote,
(Type an equation. Use integers or fractions for any numbers in the equation.)
O B. The function has two horizontal asymptotes. The top asymptote is
(Type equations. Use integers or fractions for any numbers in the equations.)
and the bottom asymptote is
O C. The function has no horizontal asymptote.
Find the oblique asymptotes. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. The function has one oblique asymptote,
(Type an equation. Use integers or fractions for any numbers in the equation)
O B. The function has two oblique asymptotes. The oblique asymptote with negative slope is
(Type equations. Use integers or fractions for any numbers in the equations.)
and the oblique asymptote with positive slope is
O C. The function has no oblique asymptote.
Click to select and enter vour
Transcribed Image Text:Find the vertical, horizontal, and oblique asymptotes, if any, for the given rational function. 6x2 +17x- 14 R(x) = 3x-2 Find the vertical asymptotes. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The function has one vertical asymptote, (Type an equation. Use integers or fractions for any numbers in the equation.) O B. The function has two vertical asymptotes. The leftmost asymptote is and the rightmost asymptote is (Type equations. Use integers or fractions for any numbers, in the equations.) O C. The function has no vertical asymptote. Find the horizontal asymptotes. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your cheice. O A The function has one horizontal asymptote, (Type an equation. Use integers or fractions for any numbers in the equation.) O B. The function has two horizontal asymptotes. The top asymptote is (Type equations. Use integers or fractions for any numbers in the equations.) and the bottom asymptote is O C. The function has no horizontal asymptote. Find the oblique asymptotes. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The function has one oblique asymptote, (Type an equation. Use integers or fractions for any numbers in the equation) O B. The function has two oblique asymptotes. The oblique asymptote with negative slope is (Type equations. Use integers or fractions for any numbers in the equations.) and the oblique asymptote with positive slope is O C. The function has no oblique asymptote. Click to select and enter vour
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