Rational and reciprocal functionsIB MYP Maths Extended: Mind map

Exam questions on Rational and reciprocal functions

1. Consider the function $f(x)=\dfrac{6}{x}$, for $x\neq0$.
   Explain why the graph of $y=f(x)$ crosses neither axis.2 marks
2. Consider the function $g(x)=\dfrac{2}{x-3}+1$, for $x\neq3$.
   Find the exact coordinates of the point where the graph of $y=g(x)$ crosses the $x$-axis.2 marks
3. Consider the function $h(x)=\dfrac{x+1}{x-2}$, for $x\neq2$.
   Show that $h(x)=1+\dfrac{3}{x-2}$, and hence write down the equations of the asymptotes of the graph of $y=h(x)$.3 marks