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1.8 Exponentials and Logarithms

1.8 Exponentials and Logarithms

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Question 21
33%

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

1.8 Exponentials and Logarithms Questions

  1. A Level
  2. /Maths
  3. /1.8 Exponentials and Logarithms

104 exam-style questions on OCR (MEI) A Level Maths 1.8 Exponentials and Logarithms, covering 1.8.1 The function y = a^x, 1.8.2 Convert between index and logarithmic form, 1.8.3 Logarithm as inverse of exponential, 1.8.4 Laws of logarithms, 1.8.5 Values of log_a a and log_a 1, 1.8.6 Solve equations of the form a^x = b, 1.8.7 Reduce y = ax^n and y = ab^x to linear form, 1.8.8 The function y = e^x, 1.8.9 Gradient of e^kx (A-level only), 1.8.10 The function y = ln x, and 1.8.11 Exponential growth and decay. Each one has a worked solution and a mark scheme showing where the marks go.

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