Mathematics 0580: GRAPHICAL SOLUTION OF EQUATIONS Topical Past Paper Questions

The table shows some values for $y = 3 \times 2^{x} - 5$ correct to 1 decimal place. **(a)** Complete the table. [3] **(b)** Draw the graph of $y = 3 \times 2^{x} - 5$ for $-2 \leqslant x \leqslant 2$. [4] **(c)** By drawing a suitable line on the graph, solve the equation $3 \ti…

The table shows some values for $y = x^{3} - 2x + 3$. Where appropriate, values of $y$ are given correct to 2 decimal places. (a) Complete the table. [2] (b) Draw the graph of $y = x^{3} - 2x + 3$ for $-2 \leq x \leq 2$. [4] (c) By drawing a suitable straight line on the grid, so…

(a) Complete the table. [3] (b) On the grid, draw the graph of $y=2x^{3}+6x^{2}-2.5$ for $-3\leq x\leq 1$. [4] (c) By drawing a suitable line on the graph, solve the equation $2x^{3} + 6x^{2} = 4.5$. [3] (d) The equation $2x^{3} + 6x^{2} - 2.5 = k$ has exactly two solutions. Writ…