O-LevelMathematicsAlgebra and graphs4024/22 · Oct/Nov 2023 · Q610 Marks
Complete the table for y = 4^x / 10.
- (a)(i)Complete the table for y = 4^x / 10.[1]
- (a)(ii)Draw the graph of y = 4^x / 10 for 0≤x≤3. [Figure Graph Grid][3]
- (a)(iii)Use your graph to solve the equation 4^x / 10 = 5.[1]
- (a)(iv)By drawing a tangent, estimate the gradient of y = 4^x / 10 when x = 2.[2]
- (b)This is a sketch of the graph of y = x² + ax+b . Find the value of a and the value of b. [Figure Sketch of Parabola][3]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2023). The mark or mark type is shown in brackets.
- [1] 0.1 oe
- [3] B2FT for 6 or 7 points correctly plotted or B1FT for 4 or 5 points correctly plotted
- [1] Strict FT their graph
- [2] B1 Dependent on curve drawn between x = 1.5 and x = 2.5
- B1 Dependent on close attempt at tangent
- [3] B2 for [y =] x² – 7x + 10 seen
- OR
- M1 for (x-2)(x-5) oe
- or 2a+b=-4oe and 5a+b=-25 oe
- or 2×5=-b/1 oe and 2+5=-a/1 oe
- B1 for one correct
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