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2 marksFunctions

CAPE Pure Mathematics Unit 1 · May/June 2006 · Paper 1 · Question 4(a)(i)

The diagram represents the graph of the function f(x) = x^2 + 1, -1 <= x <= 1 and p, q in R.

Find the value of p and of q.

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Other parts of this question

  1. 4(a)(ii)Find the range of the function f(x) for the given domain.[1 mark]
  2. 4(b)(i)Determine whether f(x) is surjective (onto).[1 mark]
  3. 4(b)(ii)Determine whether f(x) is injective (one-to-one).[1 mark]
  4. 4(b)(iii)Determine whether f(x) has an inverse.[1 mark]

More practice: the rest of this paper · more Functions questions · all CAPE Pure Mathematics Unit 1 past papers