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Functions and Graphs

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Question 104

The function f f\,f is defined by

f(x)=x2+4x+k,x∈R, f(x) = x^2 + 4x + k, \quad x \in \mathbb{R}, f(x)=x2+4x+k,x∈R,

where k k\,k is a constant.

a.

Find the range of f(x)f(x)f(x)

[3]
b.

Explain why the function f(x)f(x)f(x) does not have an inverse

[1]
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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