Increasing and decreasing Problem set A Answers

\(x<2\)

1. (a) \(x<-2\) or \(x>1\)
2. (b) \(-2<x<1\)

1. (a) \(0\le x<90\) or \(270<x\le 360\)
2. (b) x = 90 and x = 270

1. (a) 3
2. (b) x = 1

1. (a) \(0\le d<2\) or \(4<d\le 6\)
2. (b) 0. The road is level for an instant (the bottom of a dip)

Gradient zero at x = −1 (local maximum) and x = 3 (local minimum). The graph rises, falls, then rises: the shape of a cubic with a positive x³ term.

1. (a) \(-2<x<0\) or \(x>2\)
2. (b) x = −2, x = 0, x = 2