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1.3 Functions

1.3 Functions

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Question 77

The profit function ppp for a project and the efficiency function qqq are defined by

p(t)=81−t2t∈R,t≥0 p(t) = 81 - t^2 \quad t \in \mathbb{R}, t \ge 0 p(t)=81−t2t∈R,t≥0 q(v)=125v+2v∈R,v≥0 q(v) = \frac{12}{5v + 2} \quad v \in \mathbb{R}, v \ge 0 q(v)=5v+212​v∈R,v≥0
a.

Determine the range of the function ppp.

[1]
b.

Calculate the value of pq(0.2)pq(0.2)pq(0.2).

[2]
c.

Determine the inverse function q−1(x)q^{-1}(x)q−1(x) and state its domain.

[4]
Markscheme

1.3 Functions Questions

  1. A Level
  2. /Maths
  3. /1.3 Functions

181 exam-style questions on OCR (MEI) A Level Maths 1.3 Functions, covering 1.3.1 Operations on polynomials, 1.3.2 Factor theorem, 1.3.3 Definition of a function (A-level only), 1.3.4 Composite functions (A-level only), 1.3.5 Inverse functions and their graphs (A-level only), 1.3.6 The modulus function (A-level only), 1.3.7 Inequalities with a modulus sign (A-level only), and 1.3.8 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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