Calc 1 Graphs

# Calc 1 Graphs - MAC 1105 College Algebra Supplemental...

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MAC 1105 College Algebra Supplemental Notes: Graphs of Fundamental Functions GRAPHS OF FUNDAMENTAL FUNCTIONS The following are fundamental functions whose stated properties and graphs you must know. 1. The Constant Function y = f(x) = c Properties: (I) Domain: x (- , ) (II) Range: y {c}or y = c. (III) y-intercept: (0, c) x-intercept: None except for y = f(x) = 0 (In this case the x-axis is the graph) (IV) Constant over x (- , ), that is, always constant (V) Symmetry: Even (y-axis symmetry) (VI) End Behavior: As x - , y = c As x , y = c (VII) No asymptote. 2. The Identity Function y = f(x) = x Properties: (I) Domain: x (- , ) (II) Range: y (- , ). (III) y-intercept: (0,0); x-intercept: (0,0) (IV) Increasing over x (- , ), that is, always increasing (V) Symmetry: Odd (origin symmetry) (VI) End Behavior: As x - , y - As x , y (VII) No asymptote. Prepared by: Gregory Maxwell 1 x-axis y-axis x-axis y-axis

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MAC 1105 College Algebra Supplemental Notes: Graphs of Fundamental Functions 3. The Absolute Value Function x if x 0 y = f(x) = |x| =
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## This document was uploaded on 11/02/2011 for the course MTH 151 at Miami University.

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Calc 1 Graphs - MAC 1105 College Algebra Supplemental...

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