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Functions and Graphs

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Question 138

The function f f\,f is defined for all real values of x x\,x as f(x)=x2−6x+cf(x) = x^2 - 6x + cf(x)=x2−6x+c, where c c\,c is a constant.

i.

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

[3]
ii.

Given instead that ff(k)=12ff(k) = 12ff(k)=12, find the possible values of c c\,c in terms of kkk.

[4]
Markscheme

Functions and Graphs Questions

  1. A Level
  2. /Maths
  3. /Functions and Graphs

471 exam-style questions on Edexcel A Level Maths Functions and Graphs, covering 2.1 The Modulus Function, 2.2 Functions and Mappings, 2.3 Composite Functions, 2.4 Inverse Functions, 2.5 y=|f(x)| and y=f(|x|), 2.6 Combining Transformations, and 2.7 Solving Modulus Problems. Each one has a worked solution and a mark scheme showing where the marks go.

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