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Exam Review: Functions Comparison and Box Volume Problem

This exam review covers three key questions. The first question involves determining when the function f(x) = 2x³ – x² + 3x + 10 exceeds g(x) = x³ + 3x² + 2x + 4 using a factor table strategy. The second question involves calculating the side length of identical squares cut from each corner of an 8cm by 6cm rectangular sheet to form a box with a volume of 16cm³. The final question requires solving an inequality and expressing the answer in interval notation, set notation, and on a number line.

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Exam Review: Functions Comparison and Box Volume Problem

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  1. Chapter 4 - Exam Review

  2. Question 1 • If f(x) = 2x3 – x2 + 3x + 10 and g(x) = x3 + 3x2 + 2x + 4, determine when f(x) > g(x) using a factor table strategy.

  3. Question2 • Identical squares are cut from each corner of a rectangular sheet of tin 8cm by 6cm. The sides are bent upward to form an open box. If the volume of the box is 16cm3, what is the length of each side of the squares cut from the original sheet?

  4. Question 3 • Solve the inequality and show the answer in: • Interval notation • Set notation • On a number line

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