Maths Core WMA01/WMA02: FUNCTIONS 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…

It is given that $$ \mathrm{f}(x)=\mathrm{e}^{-2x}\qquad x\in\mathbb{R} $$ $$ \mathrm{g}(x)=\frac{x}{x-3}\qquad x>3 $$ (a) Sketch the graph of y = f(x), showing the coordinates of any points where the graph crosses the axes. (2) (b) Find the range of g (2) (c) Find $ \mathrm{g}^{…