DP Mathematics SL Questionbank

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• 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 $(f \circ g)(x) = {x^4} - 4{x^2} + 3$.