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Exponentials and Logarithms

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Question 96

f(x)=ekx+1−3f(x) = e^{kx+1} - 3f(x)=ekx+1−3, where k k\,k is a positive constant.

a.

State the range of fff

[1]
b.

The curve y=f(x)y = f(x)y=f(x) meets the yyy-axis at AAA. Given that the equation of the tangent to the curve at A A\,A is

y=3ex+e−3 y = 3ex + e - 3 y=3ex+e−3

find the value of kkk.

[4]
c.

The curve y=f(x)y = f(x)y=f(x) meets the xxx-axis at BBB. Find the exact coordinates of A A\,A and BBB.

[4]
Markscheme

Exponentials and Logarithms Questions

  1. A Level
  2. /Maths
  3. /Exponentials and Logarithms

277 exam-style questions on Edexcel A Level Maths Exponentials and Logarithms, covering 14.1 Exponential Functions, 14.2 y = e^x, 14.3 Exponential Modelling, 14.4 Logarithms, 14.5 Laws of Logarithms, 14.6 Solving Equations using Logarithms, 14.7 Working with Natural Logarithms, and 14.8 Logarithms and Non-Linear Data. Each one has a worked solution and a mark scheme showing where the marks go.

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