1) y = −x3 + 2x2 + 2 x y −8 −6 −4 −2 2 4 6 8 −8 −6 −4 −2 2 4 6 8 critical points at:

Intervals of increase and decrease. Process for finding intervals of increase/decrease. If possible, factor f ′. In the earlier chapter, we have learned to compare two linear functions, compare linear function with a.

One way we can find intervals of increase and decrease is to graph the function. X = 0, 4 3 no discontinuities exist. F ( x) = x 3 + 3 x 2 − 9 x − 8.

You have stationary points with you (where derivative = 0 ).now, check for each interval created by these points whether f ′ ( x) is positive or negative in that interval.in your problem, f ′ ( x) = − 4 x. Increasing intervals are when the output increases as the input increases, like a direct relationship. If f ′ is a quotient, factor the numerator and denominator (separately).

We can more commonly think of this as y increasing as x. Intervals of increase and decrease : Homework equations a) f(x) =.

This will help you find the sign of f ′. Intervals of positive and negative video 2: How do you find intervals of increase and decrease?

Intervals where the function is increasing and decreasing. An interval of increase is a stretch of the function that can be considered going uphill and an interval of decrease is a stretch of the function going downhill. We say that b is increasing on + if for every two numbers t1, t2in +, t1 o t2implies.