(b) Draw the graph of \(y = x^2 - 3\) for values of \(x\) from \(-3\) to 3.
[3]
(c) Use your graph to solve \(x^2 - 3 = 2\). [2]
Mark scheme (a)
Answer
Marks
Part marks and guidance
6 and \(-3\)
2
B1 for each
Mark scheme (b)
Answer
Marks
Part marks and guidance
Correct curve
3
B2FT for 6 or 7 correct plots B1FT for 4 or 5 correct plots
Tolerance \(\pm 1\) small square for plotting and curve through correct points. Condone slight feathering – must not be ruled If large blob for plot, check centre of blob
Mark scheme (c)
Answer
Marks
Part marks and guidance
\(-2.3\) to \(-2.2\) and 2.2 to 2.3
2FT
Strict FT B1 for either FT their graph
Tolerance \(\pm\tfrac{1}{2}\) a small square Do not allow exact answers or answers with no graph Do not FT from a straight line graph
If more than 2 intersections, B1 for each correct intersection on the answer line. If more than 2 answers, mark the worst.