Maths Core WMA01/WMA02: GRAPHS Topical Past Paper Questions

Figure 2 The continuous function f is defined by $ f(x)=\left\{\begin{array}{ll}9+3x & x\leqslant6 \\ B-Ax^{2} & x>6\end{array}\right. $ where A and B are positive constants A sketch of $y = f(x)$ is shown in Figure 2. (a) Find the range of f. (1) Given that one of the solutions…

Figure 1 Figure 1 shows a sketch of the graph with equation $y = |4x + 10a|$, where $a$ is a positive constant. The graph cuts the y-axis at the point P and meets the x-axis at the point Q as shown. (a) (i) State the coordinates of P. (ii) State the coordinates of Q. (2) (b) A co…

Figure 1 Figure 1 shows a sketch of part of the graph with equation $ y = f(x) $, $ x \in \mathbb{R} $ The graph consists of two half lines that meet at the point $ P(2, -3) $, the vertex of the graph. The graph cuts the y-axis at the point $ (0, -1) $ and the x-axis at the point…