A-LevelMathematicsFunctions9709/12 · May/June 2010 · Q35 Marks
The functions f and g are defined for x ∈ R by f : x → 4x - 2x², g : x → 5x + 3. (i) Find the range of f. (ii) Find the value of the constant k for which the equation gf(x) = k has equal roots.
- (i)Find the range of f.[2]
- (ii)Find the value of the constant k for which the equation gf(x) = k has equal roots.[3]
Mark scheme
Marking points from the official mark scheme (May/June 2010). The mark or mark type is shown in brackets.
- [M1] Calculus or completing the square etc.
- [A1] Condone < instead of ≤.
- [B1] For putting f into g.
- [M1] Setting to k, using b² – 4ac
- [A1] co
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