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Stitz-Zeager_College_Algebra_e-book

# Interpret the vertex of the graph of y p x 5 recall

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Unformatted text preview: −3 −2 −1 −1 1 x where x > 2 Absolute maximum at every point (x, 1) where x < 2 Relative maximum AND minimum at every point on the graph y 1 −3 −2 −1 −1 1 2 3 4 5 x 138 Linear and Quadratic Functions 1 (h) f (x) = 3 |2x − 1| 1 f 2 =0 1 x-intercepts 2 , 0 1 y -intercept 0, 3 Domain (−∞, ∞) Range [0, ∞) 1 Decreasing on −∞, 2 (i) Re-write f (x) = |x + 4| + |x − 2| as −2x − 2 if x < −4 f (x) = 6 if −4 ≤ x < 2 2x + 2 if x ≥ 2 No zeros No x-intercept y -intercept (0, 6) Domain (−∞, ∞) Range [6, ∞) Decreasing on (−∞, −4] Constant on [−4, 2] Increasing on [2, ∞) Absolute minimum at every point (x, 6) where −4 ≤ x ≤ 2 No absolute maximum Increasing on 1 , ∞ 2 Relative and absolute min. at 1 , 0 2 No relative or absolute maximum y 2 1 −3 −2 −1 1 (b) x = 1 or x = 1 −7 3 4 x Relative minimum at every point (x, 6) where −4 ≤ x ≤ 2 Relative maximum at every point (x, 6) where −4 < x < 2 y 8 7 6 5 4 3 2 1 −5...
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