Higher January 2023 Paper 2R Q21

EdexcelHigherCurrent spec3 marksDrawing & Using Graphs

21 The diagram shows the graph of \(\;y = \mathrm{f}(x)\)

The point \(P\) has \(x\) coordinate −2

Use the graph to find an estimate for the gradient of the curve at \(P\)

(3)

Mark scheme

Scheme	Marks
	B1
	M1
Answer depends on tangent being drawn at \(P\) Answer: 0.5	A1
	(3)
	(3 marks)

B1: tangent drawn at \(P\) (\(x = -2\))

M1: (dep on B1) for a method to find gradient eg \(\dfrac{\text{difference in } y\text{-values}}{\text{difference in } x\text{-values}}\)

or an answer in the range −0.8 to −0.2 oe

A1: (dep on B1) oe accept answers in range 0.2 to 0.8 oe and from correct figures for their tangent