DP Mathematics SL Questionbank
Function graphing skills.
Description
[N/A]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 \(f'\left( 2 \right)\).
- 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 \(f\).
- 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 \(f\).
- 16N.2.sl.TZ0.2a: Find the coordinates of A.
- 12N.2.sl.TZ0.7b: Find the maximum velocity of the particle.
- 08N.2.sl.TZ0.4a: Sketch the graph of f on the following set of axes.
- 08M.2.sl.TZ1.4a: On the grid below, sketch the graph of \(y = f(x)\) .
- 09N.2.sl.TZ0.7: The fencing used for side AB costs \(\$ 11\) per metre. The fencing for the other three sides...
- 09N.2.sl.TZ0.9a: On the same diagram, sketch the graphs of f and g .
- 09M.2.sl.TZ2.10a: Sketch the graph of f .
- 09M.2.sl.TZ2.10b: Write down (i) the amplitude; (ii) the period; (iii) the x-intercept that lies...
- SPNone.2.sl.TZ0.2b: On the grid below, sketch the graph of f .
- SPNone.2.sl.TZ0.9b(i), (ii) and (iii): (i) Sketch the graph of h for \( - 4 \le x \le 4\) and \( - 5 \le y \le 8\) , including any...
- SPNone.2.sl.TZ0.10c(i) and (ii): (i) On graph paper, using a scale of 1 cm to 1 second, and 1 cm to 10 m, plot the data given...
- 11N.2.sl.TZ0.10b(i) and (ii): (i) Write down the x-coordinate of the maximum point on the graph of f . (ii) Write down...
- 11N.2.sl.TZ0.10a: Sketch the graph of f .
- 11N.2.sl.TZ0.10c: Show that \(f'(x) = \frac{{20 - 6x}}{{{{\rm{e}}^{0.3x}}}}\) .
- 11N.2.sl.TZ0.10d: Find the interval where the rate of change of f is increasing.
- 11M.1.sl.TZ1.10b(i) and (ii): When \(t = k\) , the acceleration is zero. (i) Show that \(k = \frac{\pi }{4}\) . (ii) ...
- 11M.1.sl.TZ1.10c: When \(t < \frac{\pi }{4}\) , \(\frac{{{\rm{d}}v}}{{{\rm{d}}t}} > 0\) and when...
- 11M.1.sl.TZ1.10d(i) and (ii): Let d be the distance travelled by the particle for \(0 \le t \le 1\) . (i) Write down an...
- 11M.1.sl.TZ1.10a: Write down the velocity of the particle when \(t = 0\) .
- 13M.1.sl.TZ1.10d: There is a point of inflexion on the graph of \(f\) at \(x = \sqrt[4]{3}\)...
- 13M.2.sl.TZ1.5a: On the grid below, sketch the graph of \(v\) .
- 13M.2.sl.TZ2.10a: (i) Sketch the graphs of \(f\) and \(g\) on the same axes. (ii) Find the area of \(R\) .
- 14M.2.sl.TZ1.9a: Sketch the graph of \(f\).
- 13N.2.sl.TZ0.5a: On the grid below, sketch the graph of \(v\), for \(0 \leqslant t \leqslant 4\).
- 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).
- 15M.2.sl.TZ2.5a: On the following grid, sketch the graph of \(f\).
- 15M.2.sl.TZ1.5a: On the following grid, sketch the graph of \(G\).
- 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 \((f \circ g)(x) = {x^4} - 4{x^2} + 3\).
