= x22x + 3. Show that f is - 1. Let f: [1, +∞) → [2, +∞) be a function defined by f(x) = a bijection. Hints: To show injection, use contradiction. To show surjection, use quadratic formula.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
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1. Let f: [1, +∞) → [2, +∞) be a function defined by f(x) = x² - 2x + 3. Show that f is
a bijection. Hints: To show injection, use contradiction. To show surjection, use quadratic
formula.
Transcribed Image Text:1. Let f: [1, +∞) → [2, +∞) be a function defined by f(x) = x² - 2x + 3. Show that f is a bijection. Hints: To show injection, use contradiction. To show surjection, use quadratic formula.
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