Precalc0101to0102-page34

Precalc0101to0102-page34 - (Section 1.2 Graphs of Functions...

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(Section 1.2: Graphs of Functions) 1.2.14 f decreases on the interval ± 1, 1 ² ³ ´ µ . Why? Graphically : If we only consider the part of the graph on the x -interval ± ² ³ ´ µ , any point must be lower than any point to its left. The graph falls from left to right. Numerically : Any x -value in the interval ± ² ³ ´ µ yields a lesser function value fx () than any lesser x -value in the interval does. f decreases on an interval I ± x 2 > x 1 implies that 2 < 1 , ± x 1 , x 2 ² I . f increases on the interval 1, ± ² ³ ) . § Example 12 (Intervals of Constant Value from a Graph) The graph of g below implies that g is constant on the interval ± ² ³ ´ µ , because the graph is flat there.
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This document was uploaded on 12/29/2011.

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