# Mth141S21n - Sec 2.1 Graphs of Basic Functions and...

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Sec. 2.1 – Graphs of Basic Functions and Relations; Symmetry Continuity of functions A function is said to be continuous if you can draw its graph from its leftmost domain value to its rightmost domain value without lifting your pencil up off of the paper. An entire function may not be continuous, but it can be continuous over an interval of its domain. See examples P. 90. Increasing, Decreasing, & Constant functions Increasing functions : as x increases from left to right, y increases (graph goes up). Ex. y = 3x –1 Decreasing functions : as x increases from left to right, y decreases (graph goes down) Ex. y = -2x + 3 Constant functions : as x increases from left to right, y stays the same (graph is horizontal) ex. y = 3 For the intervals over which the function is increasing, decreasing, or being constant, we refer to the x-values that cause y to increase, decrease, or be constant. We generally want to specify the intervals over which the function is increasing, decreasing, or remaining constant. Use parentheses

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