DP Mathematics SL Questionbank

• Syllabus

2.5

Sub sections and their related questions

The reciprocal function \(x \mapsto \frac{1}{x}\) , \(x \ne 0\) : its graph and self-inverse nature.

• 16N.1.sl.TZ0.7: Let \(f(x) = m - \frac{1}{x}\), for \(x \ne 0\). The line \(y = x - m\) intersects the graph of...
• 18M.2.sl.TZ2.7a: The line x = 3 is a vertical asymptote to the graph of f. Find the value of c.
• 18M.2.sl.TZ2.7b: Write down the equation of the horizontal asymptote to the graph of f.
• 18M.2.sl.TZ2.7c: The line y = k, where \(k \in \mathbb{R}\) intersects the graph...

The rational function \(x \mapsto \frac{{ax + b}}{{cx + d}}\) and its graph.

• 14M.2.sl.TZ1.10a: Write down the equations of the vertical and horizontal asymptotes of the graph of \(f\).
• 14M.2.sl.TZ1.10b: The vertical and horizontal asymptotes to the graph of \(f\) intersect at the point...
• 13N.1.sl.TZ0.8c(ii): Hence, sketch the graph of \(h\).
• 14N.1.sl.TZ0.5a: Write down the value of \(q\).
• 14N.1.sl.TZ0.5b: The graph of \(f\) has a \(y\)-intercept at \((0,{\text{ }}4)\). Find the value of \(p\).
• 14N.1.sl.TZ0.5c: The graph of \(f\) has a \(y\)-intercept at \((0,{\text{ }}4)\). Write down the equation of the...
• 16N.1.sl.TZ0.7: Let \(f(x) = m - \frac{1}{x}\), for \(x \ne 0\). The line \(y = x - m\) intersects the graph of...
• 18M.2.sl.TZ2.7a: The line x = 3 is a vertical asymptote to the graph of f. Find the value of c.
• 18M.2.sl.TZ2.7b: Write down the equation of the horizontal asymptote to the graph of f.
• 18M.2.sl.TZ2.7c: The line y = k, where \(k \in \mathbb{R}\) intersects the graph...

Vertical and horizontal asymptotes.

• 14M.2.sl.TZ1.10a: Write down the equations of the vertical and horizontal asymptotes of the graph of \(f\).
• 14M.2.sl.TZ1.10b: The vertical and horizontal asymptotes to the graph of \(f\) intersect at the point...
• 14N.1.sl.TZ0.5a: Write down the value of \(q\).
• 14N.1.sl.TZ0.5c: The graph of \(f\) has a \(y\)-intercept at \((0,{\text{ }}4)\). Write down the equation of the...
• 18M.2.sl.TZ2.7a: The line x = 3 is a vertical asymptote to the graph of f. Find the value of c.
• 18M.2.sl.TZ2.7b: Write down the equation of the horizontal asymptote to the graph of f.
• 18M.2.sl.TZ2.7c: The line y = k, where \(k \in \mathbb{R}\) intersects the graph...