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Open intervals of increasing, decreasing & constant functions. X values (left most point, right most point) Looking from left to right Increasing: Constant: Decreasing:. Relative Maximum & Minimums. Relative Maximums: High point of a curve Relative Minimum: Low point of a curve
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Open intervals of increasing, decreasing & constant functions • X values • (left most point, right most point) • Looking from left to right • Increasing: • Constant: • Decreasing:
Relative Maximum & Minimums • Relative Maximums: High point of a curve • Relative Minimum: Low point of a curve • Absolute Maximum: Highest point of the entire function, if it exists. • Absolute Minimum: Lowest point of the entire function, if it exists.
Finding relative maximums and minimums with the calculator • 1.) Enter function into editor • Get y alone : y= • 2.) 2nd trace 3:minimum or 4:maximum • 3.) move cursor just to left side of max or min • 4.) “enter” • 5.) move cursor just to right side • 6.) “enter” • 7.) guess – “enter”
Example • Rel. max= • Rel. min= • Absolute max= • Absolute min= • Open intervals of • Increasing: • Decreasing: • Constant: