The area of each house flag is fixed as (x+3)m length and (x-2)m width. Given that the area of the flag is f(x).

(a)state the area of the flag as quadratic function in general form.
(b)find the range of x if the flag area is positive.

2

Jawapan

2015-10-06T23:48:33+08:00
2015-10-07T22:47:48+08:00
A) f(x) = (x +3)(x -2)

f(x) = x^2 -2x +3x -6

f(x) = x^2 + x -6

b) range of x = ??

f(x) = (x +3)(x -2)

x +3 = 0
x = -3

x -2 = 0
x = 2

therefore, x = 2