Curriculum
Pure Mathematics — Second Secondary
Unit 1: Real Functions and Curve Sketching
0/8
Unit 2: Exponents and Logarithms
0/12
Unit 3: Limits
0/6
Unit 4: Trigonometry
0/4
Text lesson
Monotonicity of Functions
Monotonicity of Functions
Definition of monotonicity
Definition of monotonicity
- The monotonicity of a function describes how it behaves as x moves from left to right through an interval.
- Let a and b be two numbers in the interval with a < b:
| Comparison aspect | Main idea | Keywords |
|---|---|---|
| Increasing | f(a) < f(b) for every a < b in the interval. The graph rises as we move to the right | everyintervalgraphrises |
| Decreasing | f(a) > f(b) for every a < b in the interval. The graph falls as we move to the right | everyintervalgraphfalls |
| Constant | f(a) = f(b) for all a and b in the interval. The graph is horizontal | intervalgraphhorizontal |
| Important |
| alwaysstateintervaldescribe |
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