1. SECTION 3.4 POLYNOMIAL AND RATIONAL INEQUALITIES POLYNOMIAL AND RATIONAL INEQUALITIES

2. EXAMPLES Solve the inequality x 2  4x + 12 both graphically and algebraically. Solution: [-2,6] Solve the inequality x 4 > x both graphically and algebraically. Solution: (- ,0)  (1,  )

3. EXAMPLE Solve the inequality

4. PHYSICS A ball is thrown vertically upward with an initial velocity of 96 feet per second. The distance s (in feet) of the ball from the ground after t seconds is s = 96t - 16t 2 For what time interval is the ball more than 112 feet above the ground?

5. PHYSICS Graph the relationship between s and t. What is the maximum height of the ball? After how many seconds does the ball reach a maximum height?

6. CONCLUSION OF SECTION 3.4 CONCLUSION OF SECTION 3.4