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1.5 B: Algebra and functions

1.5 B: Algebra and functions

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Question 49

A climatologist is testing four different mathematical models for the atmospheric temperature TTT (in ∘C^\circ\text{C}∘C) as a function of time ttt (in years), where the domain for each function is t∈Rt \in \mathbb{R}t∈R.

Which of the following models does not have an inverse function?

T(t)=0.5t+14.2T(t) = 0.5t + 14.2T(t)=0.5t+14.2

T(t)=(t−2)3+8T(t) = (t - 2)^3 + 8T(t)=(t−2)3+8

T(t)=15−3cos⁡(πt12)T(t) = 15 - 3\cos\left(\dfrac{\pi t}{12}\right)T(t)=15−3cos(12πt​)

T(t)=10+e0.2tT(t) = 10 + e^{0.2t}T(t)=10+e0.2t

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Markscheme

1.5 B: Algebra and functions Questions

  1. A Level
  2. /Maths
  3. /1.5 B: Algebra and functions

532 exam-style questions on AQA A Level Maths 1.5 B: Algebra and functions, covering 1.5.1 Laws of indices, 1.5.2 Surds, 1.5.3 Quadratic functions, 1.5.4 Simultaneous equations, 1.5.5 Linear and quadratic inequalities, 1.5.6 Polynomials and rational expressions, 1.5.7 Graphs of functions and proportion, 1.5.8 Composite and inverse functions (A-level only), 1.5.9 Transformations of graphs, 1.5.10 Partial fractions (A-level only), and 1.5.11 Functions in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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