if f(x)=x^2+x-6 then indicate the intervals on which f(x) is increasing, constant and decreasing
f(x) = x^2 + x -6
f’(x) = 2x + 1
So, f’(x) > 0 for x > -1/2
So , f(x) is increasing for x>-1/2 and decreasing for x < -1/2
First of all Im assuming this is an Advanced Algebra problem, not a Calculus problem. If it is, then graph this function and pretend youre riding a rollercoaster from left to right across the screen. Then list, with parentheses only, each interval. Since this is a quadratic, there will be only two intervals: one increasing and one decreasing.