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...