Q13 Prep 3 Algebra Question Bank

a) For the function \( f(x) = -x^2 + 6x - 11 \) in the interval \([0, 6]\), find:
The solution set of \( x^2 - 6x + 11 = 0 \)

∴ The S.S. = \( \emptyset \) (No real solutions)

b) For the function \( f(x) = 6x - x^2 - 9 \) in the interval \([0, 5]\), find:

1. The maximum or minimum value of the function
2. The solution set of \( 6x - x^2 - 9 = 0 \)

1. Maximum value: \( 0 \) at \( x = 3 \)
2. ∴ The S.S. = \( \{3\} \) (Double root)

MR/Nasef.N