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3.1 Algebra and functions (A-level only)

3.1 Algebra and functions (A-level only)

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Question 13

The function f f\,f is defined for all real values of x x\,x by

f(x)=x2−6x+cf(x) = x^2 - 6x + cf(x)=x2−6x+c

where c c\,c is a constant.

a.

Given that the range of f f\,f is {f(x):f(x)≥2}\{f(x) : f(x) \geq 2\}{f(x):f(x)≥2}, find the value of ccc.

[2]
b.

Given instead that ff(2)=2ff(2) = 2ff(2)=2, find the possible values of ccc.

[3]
Markscheme

3.1 Algebra and functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.1 Algebra and functions (A-level only)

281 exam-style questions on CCEA A Level Maths 3.1 Algebra and functions (A-level only), covering 3.1.1 Algebra and functions (A-level only), 3.1.2 Algebra and functions (A-level only), 3.1.3 Algebra and functions (A-level only), 3.1.4 Algebra and functions (A-level only), 3.1.5 Algebra and functions (A-level only), 3.1.6 Algebra and functions (A-level only), 3.1.7 Algebra and functions (A-level only), 3.1.8 Algebra and functions (A-level only), 3.1.9 Algebra and functions (A-level only), and 3.1 Algebra and functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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