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1.5 B: Algebra and functions

1.5 B: Algebra and functions

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Question 51

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

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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