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MathNet 2014 Question 78

Math Olympiad Vault · MathNet 2014

Question 78

The function $f$ is given by
$$f(x)=\frac{12}{x^2+x-6}-2.$$
Find its zeros, poles, asymptote equation and value at zero, and sketch its graph. Also sketch the graph of $g(x)=|f(x)|$.

Question illustration