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Stitz-Zeager_College_Algebra_e-book

# 4a hence an equation equivalent to ax2 bx c 0 is a x

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Unformatted text preview: 0, 4) Domain (−∞, ∞) Range [0, ∞) Decreasing on (−∞, −4] Increasing on [−4, ∞) Relative and absolute min. at (−4, 0) No relative or absolute maximum y 4 3 2 1 −8 −7 −6 −5 −4 −3 −2 −1 1 y (b) f (x) = |x| + 4 No zeros No x-intercepts y -intercept (0, 4) Domain (−∞, ∞) Range [4, ∞) Decreasing on (−∞, 0] Increasing on [0, ∞) Relative and absolute minimum at (0, 4) No relative or absolute maximum 8 7 6 5 4 3 2 1 −4 −3 −2 −1 1 y (c) f (x) = |4x| f (0) = 0 x-intercepts (0, 0) y -intercept (0, 0) Domain (−∞, ∞) Range [0, ∞) Decreasing on (−∞, 0] Increasing on [0, ∞) Relative and absolute minimum at (0, 0) No relative or absolute maximum 8 7 6 5 4 3 2 1 −2 −1 1 2 x 2 3 4 x x 2.2 Absolute Value Functions (d) f (x) = −3|x| f (0) = 0 x-intercepts (0, 0) y -intercept (0, 0) Domain (−∞, ∞) Range (−∞, 0] Increasing on (−∞, 0] Decreasing on [0, ∞) Relative and absolute maximum at (0, 0) No relative or absolute minimum (e...
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