7D - Strictly increasing and strictly decreasing
14H - Content video: Strictly increasing and strictly decreasing functions [From unit 2]
This video covers the theory and several examples relating to strictly increasing and strictly decreasing functions. VCAA also released a supplement in April 2011 relating to strictly increasing and strictly decreasing functions.
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■ A function is said to be strictly increasing if each proceeding \(y\)-value is greater than the previous. Mathematically, a function is strictly increasing over an interval if \(x_2>x_1\) gives \(f(x_2)>f(x_1)\).
■ A function is said to be strictly decreasing if each proceeding \(y\)-value is less than the previous. Mathematically, a function is strictly increasing over an interval if \(x_2>x_1\) gives \(f(x_2)<f(x_1)\).
■ A function is said to be strictly decreasing if each proceeding \(y\)-value is less than the previous. Mathematically, a function is strictly increasing over an interval if \(x_2>x_1\) gives \(f(x_2)<f(x_1)\).