18M.2.SL.TZ2.S_7

pestleMathematicsAASLPaper 218M· sl-2-8-reciprocal-and-simple-rational-functions-equations-of-asymptotessource ↗

Let $f\left( x \right) = \frac{{8x - 5}}{{cx + 6}}$ for $x \ne - \frac{6}{c},\,\,c \ne 0$ .

Write down the equation of the horizontal asymptote to the graph of f.

Markscheme / solution

valid approach (M1)
eg $\mathop {{\text{lim}}\,f}\limits_{x \to \infty } \left( x \right),\,\,y = \frac{8}{c}$

y = −4 (must be an equation) A1 N2

[2 marks]

Examiners’ report

[N/A]