Identify the​ interval(s) on which the quadratic function is positive.

Question

Identify the​ interval(s) on which the quadratic function is positive.

y=4x^2-35x+24



Answer 1

y= 4x^2 -35x + 24

y = (4x-3)(x-8) = 0

4x-3 = 0, x = 3/4

x-8 = 0, x = 8

x =8 or 3/4

y is positive when both factors are positive or both are negative

both are positive when x>8 and x>3/4

both are negtive when x<8 and x<3/4

y is positive when x> 8 or x<3/4 (-inf,3/4) or (8, +inf)

y is negative when x is in the interval (3/4, 8)