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Functions and Graphs

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Question 172

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 c=11c=11c=11, find the range of fff.

[3]
ii.

Given instead that c=21+412\displaystyle c=\frac{21+\sqrt{41}}{2}c=221+41​​ or c=21−412\displaystyle c=\frac{21-\sqrt{41}}{2}c=221−41​​, find the value of ff(2)ff(2)ff(2).

[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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