Higher November 2017 Paper 4 Q5

(a) Complete this table for \(y = x^2 + x - 4\).

\(x\)	−4	−3	−2	−1	0	1	2	3
\(y\)		2		−4	−4		2

[2]

(b) Draw the graph of \(y = x^2 + x - 4\) for \(-4 \leqslant x \leqslant 3\).

[3]

(c) Use your graph to solve \(x^2 + x - 4 = 0\). [2]

(d) On the same grid, draw the graph of \(y = -2x - 1\) for \(-4 \leqslant x \leqslant 3\).

You may use the table if you wish.

\(x\)	−4
\(y\)	7

[3]

(e) Use your graphs to solve the equation \(x^2 + x - 4 = -2x - 1\). [2]