Function has no horizontal asymptote is C) f(x)=2x^2/3x-1
<h3>Further explanation
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The rational functions graphs can be recognised by the fact that they often break into two or more parts. These parts go out of the coordinate system along an imaginary straight line called an asymptote.
Vertical asymptotes can be found by solve the equation n(x) = 0, where n(x) is the function denominator. This only applies if the numerator t(x) is not zero for the same x value. The graph has a vertical asymptote with the equation x = 1.
The three rules that horizontal asymptotes are based on the degree of the numerator, n, and the degree of the denominator, m.
- If n < m, the horizontal asymptote is y = 0.
- If n = m, the horizontal asymptote is y = a/b.
- If n > m, there is no horizontal asymptote.
A rational function has no horizontal asymptote when the degree of the numerator is greater than the denominator.
- A) f(x)=2x-1/3x^2, the degree of the numerator is lower than the denominator.
- B) f(x)=x-1/3x, the degree of the numerator is lower than the denominator.
- C) f(x)=2x^2/3x-1
, the degree of the numerator is greater than the denominator.
- D)f(x)=3x^2/x^2-1
, the degree of the numerator is lower than the denominator.
<h3 /><h3>Learn more</h3>
- Learn more about asymptote brainly.com/question/2914025
- Learn more about function brainly.com/question/12397187
- Learn more about horizontal asymptote brainly.com/question/4221615
<h3>Answer details</h3>
Grade: 9
Subject: mathematics
Chapter: Graphs of rational functions
Keywords: asymptote, function, horizontal asymptote, horizontal, mathematics
