MAT 109 Chapter 4 Study Guide
MAT 109 Chapter 4 Study Guide MAT 109
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This 2 page Study Guide was uploaded by Sterling on Wednesday September 14, 2016. The Study Guide belongs to MAT 109 at Barry University taught by Dr. Singh in Fall 2016. Since its upload, it has received 15 views. For similar materials see Precalculus Mathematics 1 in Mathmatics at Barry University.
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Date Created: 09/14/16
MAT 109 PreCalculus Mathematics 1 Chapter 4 Study Guide Notes L. Sterling August 31st, 2016 Abstract Provide a generalization to each of the key terms listed in this section. 1 Linear Function Any function in the form of the following: f(x) = mx + b Slope : m Average Rate of Change : m Y ▯ Intercept : b 2 Linear Function’s Average Rate of Change ▯y f(x ) ▯ f(x ) m = = 2 1 ▯x x2▯ x1 3 Nonlinear Function Any function that are not linear. 4 Properties of a Quadratic Function’s Graph f(x) = ax + bx + c a 6= 0 b b V ertex : (▯;f(▯ )) 2a 2a AxisSymmetry: x = ▯b 2a 1 Y ▯ Intercept : f (0) = c OpensUp : a > 0 ! V ertex : Mipoint Opens Down : a < 0 ! V ertex : Mapoint 5 Quadratic Function’s X-Intercepts 5.1 Less Than 0 2 f(x) = ax + bx + c would have only two distinct x-intercepts if the following happens: 2 b ▯ 4ac < 0 5.2 Greater Than 0 2 f(x) = ax + bx + c would have only no distinct x-intercepts if the following happens: 2 b ▯ 4ac > 0 5.3 Equal To 0 2 f(x) = ax + bx + c would have only one distinct x-intercept (at its vertex) if the following happens: 2 b ▯ 4ac = 0 2
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