(a) Complete the table of values for \(y = x^2 - x\)
\(x\)
\(-2\)
\(-1\)
0
1
2
3
\(y\)
6
0
2
(2)
(b) On the grid, draw the graph of \(y = x^2 - x\) for values of \(x\) from \(-2\) to 3(2)
(c) Use your graph to find estimates for the solutions of the equation \(x^2 - x = 4\) (2)
Mark scheme (a)
Answer
Mark
Mark scheme
(6) 2 (0) 0 (2) 6
B2
for all 3 values correct
(B1
for 1 or 2 correct values)
Mark scheme (b)
Answer
Mark
Mark scheme
Graph drawn
B2
for a fully correct graph
(B1
ft (dep on B1 in (a)) for plotting at least 5 of the points from their table correctly)
Additional guidance
Accept a freehand curve drawn that is not made of line segments Ignore anything drawn outside the required range
Mark scheme (c)
Answer
Mark
Mark scheme
\(-1.7\) to \(-1.5\) and 2.5 to 2.7
M1
for drawing the line \(y = 4\) or reading off intersections where \(y = 4\) or one correct solution or both solutions given as coordinates, eg \((-1.6, 2.6)\) or \((-1.6, 4)\) and \((2.6, 4)\)
A1
for answers in the range \(-1.7\) to \(-1.5\) and 2.5 to 2.7 or ft their graph with at least 2 solutions
