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2 marksFunctions

CAPE Pure Mathematics Unit 1 · May/June 2026 · Paper 2 · Question 2(b)(i)

The graphs of y = f(x) = x + 3 and y = g(x) = x - 3 for -5 ≤ x ≤ 5 are shown.

On the grid provided on page 10, sketch the graph of y = |f(x)|.

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Other parts of this question

  1. 2(a)(i)Complete the table of values for h(x) = 5 - 2^(x+1) for x = 0, 1, 2, 3, 4.[2 marks]
  2. 2(a)(ii)On the grid provided on page 9, plot the graph of h(x) = 5 - 2^(x+1).[2 marks]
  3. 2(b)(ii)On the grid provided on page 10, sketch the graph of y = |g(x)|.[2 marks]
  4. 2(c)(i)Determine whether f is injective.[4 marks]
  5. 2(c)(ii)Assuming that f is a bijective function, determine an expression for f⁻¹(x).[5 marks]
  6. 2(d)(i)Solve for x: 3^(4x + 1) = 177 147.[3 marks]
  7. 2(d)(ii)Solve for x: log₂(x + 6) + log₂(x + 2) = 5.[5 marks]

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