4MA0 Higher January 2016 Paper 3 Q10

EdexcelHigherOld spec5 marksLinear Graphs & Gradients Linear Inequalities

(a) On the grid, draw the graph of \(y = 2x + 3\) for values of \(x\) from −2 to 4 (3)

Grid with x from −2 to 4 and y from −3 to 11

(b) Show, by shading on the grid, the region that satisfies all three of the inequalities \[x \leqslant 3 \quad\text{and}\quad y \geqslant 2 \quad\text{and}\quad y \leqslant 2x + 3\] Label your region R. (2)

Mark scheme (a)

Scheme	Marks
(−2, −1) (−1, 1) (0 , 3) (1 , 5) (2, 7) (3 , 9) (4 , 11) Answer: correct line	B3
	(3)

Notes

B3: for \(y = 2x + 3\) drawn from \(x = -2\) to 4

if not B3 then B2 for a correct straight line segment through at least 3 of (−2, −1) (−1, 1) (0 , 3) (1 , 5) (2, 7) (3 , 9) (4 , 11) OR
for all of (−2, −1) (−1, 1) (0 , 3) (1 , 5) (2, 7) (3 , 9) (4 , 11) plotted but not joined

if not B2 then B1 for any 2 correct points stated (could be in a table) or plotted OR
a line with a positive gradient through (0, 3) OR
a line with gradient 2

Scheme	Marks
	M1
correct region	A1
	(2)