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1 Unit 1: Pure Mathematics A

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Question 67

It is given that f(x)=x(x−b)(x+4)f(x) = x(x - b)(x + 4)f(x)=x(x−b)(x+4) where 0<b<40 < b < 40<b<4.

a.

Sketch the curve with equation y=f(x)y = f(x)y=f(x), showing on your sketch the coordinates, in terms of b b\,b where appropriate, of the points where the curve meets the xxx-axis.

[3]
b.

Sketch the curve with equation y=f(3x)y = f(3x)y=f(3x).

[2]
c.

State, in terms of b b\,b where appropriate, the coordinates of the points where the curve y=f(3x)y = f(3x)y=f(3x) meets the xxx-axis.

[1]
Markscheme

1 Unit 1: Pure Mathematics A Questions

  1. A Level
  2. /Maths
  3. /1 Unit 1: Pure Mathematics A

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