(a) Complete this table of values for \(y = x^2 + x - 4\)
\(x\)
\(-3\)
\(-2\)
\(-1\)
\(0\)
\(1\)
\(2\)
\(3\)
\(y\)
\(-2\)
\(-4\)
\(-2\)
(2)
(b) On the grid, draw the graph of \(y = x^2 + x - 4\) for values of \(x\) from \(-3\) to 3(2)
(c) Use the graph to estimate a solution to \(x^2 + x - 4 = 0\) (1)
Mark scheme (a)
Answer
Mark
Mark scheme
\(2, -4, 2, 8\)
B2
all 4 values correct
(B1
for 2 or 3 correct values)
Mark scheme (b)
Answer
Mark
Mark scheme
Graph
M1
(dep B1) for at least 5 points plotted correctly ft from part a
A1
for a fully correct curve drawn
Additional guidance
Accept freehand curves drawn that are not line segments; there must be some attempt to draw the minimum point below \(y = -4\).
Mark scheme (c)
Answer
Mark
Mark scheme
\(-2.6\) or 1.6
B1
for 1 correct value, ft a non linear graph
Additional guidance
Award for \(-2.6\) or 1.6 or both values but do not award the mark if a correct value is given with an incorrect value. Accept 1.56 or \(-2.56\) Note for ft to be applied the graph may be joined by line segments.
