DP Mathematics SL Questionbank

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Directly related questions

• 18M.1.sl.TZ2.10c: Let L2 be the tangent to the graph of g at P. L1 intersects L2 at the point Q. Find the...
• 18M.1.sl.TZ2.10b: Show that the graph of g has a gradient of 6 at P.
• 18M.1.sl.TZ2.10a.ii: Find \(f\left( 2 \right)\).
• 18M.1.sl.TZ2.10a.i: Write down \(f'\left( 2 \right)\).
• 18M.1.sl.TZ2.5b: Another function, \(g\), can be written in the form...
• 18M.1.sl.TZ2.5a: On the same axes, sketch the graph of \(f\left( { - x} \right)\).
• 18M.2.sl.TZ1.4c: Find the area of the region enclosed by the graphs of f and g.
• 18M.2.sl.TZ1.4b: On the grid above, sketch the graph of g for −2 ≤ x ≤ 4.
• 18M.2.sl.TZ1.4a: Write down the coordinates of the vertex of the graph of g.
• 18M.1.sl.TZ1.3c: On the grid above, sketch the graph of f −1.
• 18M.1.sl.TZ1.3b: Write down the range of f −1.
• 18M.1.sl.TZ1.3a.ii: Write down the value of f −1 (1).
• 18M.1.sl.TZ1.3a.i: Write down the value of f (0).
• 17N.2.sl.TZ0.2c: On the following grid, sketch the graph of \(f\).
• 17N.2.sl.TZ0.2b: The graph of \(f\) has a maximum at the point A. Write down the coordinates of A.
• 17N.2.sl.TZ0.2a: Find the \(x\)-intercept of the graph of \(f\).
• 17N.1.sl.TZ0.3c: On the grid, sketch the graph of \({f^{ - 1}}\).
• 17N.1.sl.TZ0.3b.ii: Write down \({f^{ - 1}}(2)\).
• 17N.1.sl.TZ0.3b.i: Write down \(f(2)\);
• 17N.1.sl.TZ0.3a: Write down the range of \(f\).
• 17M.2.sl.TZ2.6c: The equation \((f \circ g)(x) = k\) has exactly two solutions, for...
• 17M.2.sl.TZ2.6b: On the following grid, sketch the graph of \((f \circ g)(x)\), for...
• 17M.2.sl.TZ2.6a: Show that \((f \circ g)(x) = {x^4} - 4{x^2} + 3\).
• 16M.1.sl.TZ1.3b: On the following grid sketch the graph of \(f\).
• 16M.1.sl.TZ1.3a: (i)     Write down the amplitude of \(f\). (ii)     Find the period of \(f\).
• 12N.2.sl.TZ0.7a: On the grid below, sketch the graph of \(s\) .
• 12N.2.sl.TZ0.9a: Sketch the graph of f , for \( - 1 \le x \le 5\) .
• 12N.2.sl.TZ0.9b: This function can also be written as \(f(x) = {(x - p)^2} - 3\) . Write down the value of p .
• 12N.2.sl.TZ0.9c: The graph of g is obtained by reflecting the graph of f in the x-axis, followed by a translation...
• 12N.2.sl.TZ0.9d: The graph of g is obtained by reflecting the graph of f in the x-axis, followed by a translation...
• 12N.2.sl.TZ0.9e: The graph of \(g\) is obtained by reflecting the graph of \(f\) in the x-axis, followed by a...
• 12M.2.sl.TZ2.2b: On the grid below, sketch the graph of \(f'(x)\) .
• 12M.2.sl.TZ2.2a: Find \(f'(x)\) .
• 12M.2.sl.TZ2.10a: Use the cosine rule to show that \({\rm{PQ}} = 2r\sin \theta \) .
• 12M.2.sl.TZ2.10c(i) and (ii): Consider the function \(f(\theta ) = 2.6\sin \theta  - 2\theta \) , for...
• 12M.2.sl.TZ2.10d: Use the graph of f to find the values of \(\theta \) for which \(l < 1.3{\rm{PQ}}\) .
• 12M.2.sl.TZ2.10b: Let l be the length of the arc PRQ . Given that \(1.3{\rm{PQ}} - l = 0\) , find the value of...
• 12M.1.sl.TZ1.9b: The graph of f is reflected in the line \(y = x\) to give the graph of g . (i)     Write down...
• 12M.1.sl.TZ1.9a: Find p .
• 12M.1.sl.TZ1.9c: The graph of \(f\) is reflected in the line \(y = x\) to give the graph of \(g\) . Find \(g(x)\) .
• 12M.2.sl.TZ1.4a: Find k .
• 12M.2.sl.TZ1.4b: The shaded region is rotated \(360^\circ \) about the x-axis. Let V be the volume of the solid...
• 12M.2.sl.TZ1.4c: The shaded region is rotated \(360^\circ \) about the x-axis. Let V be the volume of the solid...
• 12M.2.sl.TZ1.10a(i) and (ii): Find the distance between the ships (i)     at 13:00; (ii)    at 14:00.
• 12M.2.sl.TZ1.10b: Let \(s(t)\) be the distance between the ships t hours after noon, for \(0 \le t \le 4\) . Show...
• 12M.2.sl.TZ1.10c: Sketch the graph of \(s(t)\) .
• 12M.2.sl.TZ1.10d: Due to poor weather, the captain of ship A can only see another ship if they are less than 8 km...
• 13M.1.sl.TZ2.4a.i: Write down the value of \(f(2)\).
• 13M.1.sl.TZ2.4a.ii: Write down the value of \({f^{ - 1}}( - 1)\) .
• 15M.2.sl.TZ1.5b: Robin and Pat are planning a wedding banquet. The cost per guest, \(G\) dollars, is modelled by...