Mathematics 0580: PLOTTING CURVES Topical Past Paper Questions

**(a)** Find the coordinates of the turning points of the graph $y = 8x^{3} - 6x + 5$. [5] You must show all your working. **(b)** Determine whether each turning point is a maximum or a minimum. Show how you decide. [3]

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) Find the equation of line $L$ in the form $y = mx + c$. $$ \left\| \mathbf{y} \right\|\equiv $$ (b) (i) On the grid, draw the line $y=x$. (ii) Write down the coordinates of the point where the line $y=x$ intersects line $L$. (....., .....) [1] (c) (i) Complete the table of va…