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1.9 F: Exponentials and logarithms

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Question 7
35%

f(x)=e2x+1−3f(x) = e^{2x+1} - 3f(x)=e2x+1−3

a.

State the range of fff

[1]
b.

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

[4]
c.

Find the equation of the tangent to the curve at AAA.

[4]
Markscheme

1.9 F: Exponentials and logarithms Questions

  1. A Level
  2. /Maths
  3. /1.9 F: Exponentials and logarithms

62 exam-style questions on AQA A Level Maths 1.9 F: Exponentials and logarithms, covering 1.9.1 Exponential functions and their graphs, 1.9.2 Gradient of e^kx (A-level only), 1.9.3 Logarithms as inverse functions, 1.9.4 Laws of logarithms, 1.9.5 Solving exponential equations, 1.9.6 Logarithmic graphs to estimate parameters (A-level only), and 1.9.7 Exponential growth and decay. Each one has a worked solution and a mark scheme showing where the marks go.

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