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Each of the following graphs represent rational functions where the numerator and denominator are monic polynomials (the leading coefficient is 1). Find their equation (in factored form). (HINT 1: pay attention to the horizontal asymptotes to determine the degree of the numerator) (HINT 2: all features occur at integer values. If it's hard to tell from the graph, try nearby integer values) (Hint 3: you can click on the graph to make it bigger) f(x) = for A= and B where B is a second degree polynomial. f(x) = for A = and B Hint: There is one zero and it occurs at an integer. f(x) = 4 for A = and B where B is a second degree polynomial.

Each of the following graphs represent rational functions where the numerator and denominator are monic polynomials (the leading coefficient is 1). Find their equation (in factored form). (HINT 1: pay attention to the horizontal asymptotes to determine the degree of the numerator) (HINT 2: all features occur at integer values. If it's hard to tell from the graph, try nearby integer values) (Hint 3: you can click on the graph to make it bigger) f(x) = for A= and B where B is a second degree polynomial. f(x) = for A = and B Hint: There is one zero and it occurs at an integer. f(x) = 4 for A = and B where B is a second degree polynomial.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Each of the following graphs represent rational functions where the numerator and denominator are monic polynomials (the leading coefficient is 1). Find their equation (in factored form). (HINT 1: pay attention to the horizontal asymptotes to determine the degree of the numerator) (HINT 2: all features occur at integer values. If it's hard to tell from the graph, try nearby integer values) (Hint 3: you can click on the graph to make it bigger) f(x) = for A= and B where B is a second degree polynomial. f(x) = 4 for A= and B Hint: There is one zero and it occurs at an integer. f(x) = for A = and B where B is a second degree polynomial.
Transcribed Image Text:Each of the following graphs represent rational functions where the numerator and denominator are monic polynomials (the leading coefficient is 1). Find their equation (in factored form). (HINT 1: pay attention to the horizontal asymptotes to determine the degree of the numerator) (HINT 2: all features occur at integer values. If it's hard to tell from the graph, try nearby integer values) (Hint 3: you can click on the graph to make it bigger) f(x) = for A= and B where B is a second degree polynomial. f(x) = 4 for A= and B Hint: There is one zero and it occurs at an integer. f(x) = for A = and B where B is a second degree polynomial.
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