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1 markApplications of Logarithms to Linear Reduction

CSEC Additional Mathematics · 2018 · Paper 2 · Question 1(c)(ii)

An equation relating V and t is given by V = ka^t where k and a are constants.

If a graph of y versus x from the equation in Part (c) (i) is plotted, a straight line is obtained. State an expression for the gradient of the graph.

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Other parts of this question

  1. 1(a)(i)Find the inverse function, f⁻¹(x), stating its domain.[4 marks]
  2. 1(a)(ii)On the grid provided below, sketch f⁻¹(x).[2 marks]
  3. 1(a)(iii)State the relationship between f(x) and f⁻¹(x).[2 marks]
  4. 1(b)Derive the polynomial, P(x), of degree 3 which has roots equal to 1, 2 and -4.[3 marks]
  5. 1(c)(i)Use logarithms to derive an equation of the form y = mx + c that can be used to find the values of k and a.[2 marks]

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