Even/odd function verification

Questions asking students to prove algebraically whether a given function is even, odd, or neither, sometimes with accompanying sketches.

1 questions · Easy -1.2

1.02u Functions: definition and vocabulary (domain, range, mapping)
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OCR MEI C3 Q2
4 marks Easy -1.2
2
  1. Show that \(\mathrm { f } ( x ) = \left| x ^ { 3 } \right|\) is an even function.
  2. It is suggested that the function \(\mathrm { g } ( x ) = ( x - 1 ) ^ { 3 }\) is odd. Prove that this is false.