Consider the graph of the function , defined over all positive real values of . This graph has the following asymptotes
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2 marksMathematicsLimits, continuity and differentiabilityAsymptotes and behaviour of functionsModerateabout 2 min
DSE 2006 Question 37: Limits, continuity and differentiability
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Consider the graph of the function f(x)=(x²+2x-1)/x, defined over all positive real values of x. This graph has the following asymptotes (A) The line defined by 2x+2 and the vertical axis. (B) One asymptote: the line defined by y=x+2 (C) The line defined by y=x+2 and the vertical axis. (D) The line defined by y=2x+1 and the vertical axis.
Also written as: Consider the graph of the function f(x)=(x^2+2x-1)/x, defined over all positive real values of x. This graph has the following asymptotes
Limits, continuity and differentiability has come up 122 times in 7 exams since 2006.
What this question tests
This question is on Asymptotes and behaviour of functions, part of Limits, continuity and differentiability in Mathematics.
How functions behave at infinity and near points where they are undefined.
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Question from the DSE 2006 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.