DP Mathematics HL Questionbank

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Directly related questions

• 08M.3srg.hl.TZ1.2: (a)     Find the range of f . (b)     Prove that f is an injection. (c)     Taking the codomain...
• 08N.3srg.hl.TZ0.5: Three functions mapping \(\mathbb{Z} \times \mathbb{Z} \to \mathbb{Z}\) are defined...
• 09M.3srg.hl.TZ0.4: (a)     Show that \(f:\mathbb{R} \times \mathbb{R} \to \mathbb{R} \times \mathbb{R}\) defined by...
• 09N.3srg.hl.TZ0.2: The function \(f:[0,{\text{ }}\infty [ \to [0,{\text{ }}\infty [\) is defined by...
• 08N.3srg.hl.TZ0.3: Two functions, F and G , are defined on \(A = \mathbb{R}\backslash \{ 0,{\text{ }}1\} \)...
• 10M.3srg.hl.TZ0.1: The function \(f:\mathbb{R} \to \mathbb{R}\) is defined...
• 15M.3srg.hl.TZ0.4a: Prove that:  (i)     \(f\) is an injection, (ii)     \(g\) is a surjection.
• 15M.3srg.hl.TZ0.4b: Given that \(X = {\mathbb{R}^ + } \cup \{ 0\} \) and \(Y = \mathbb{R}\), choose a suitable pair...