SECTION 3.4SECTION 3.4

POLYNOMIAL AND RATIONAL POLYNOMIAL AND RATIONAL INEQUALITIESINEQUALITIES

EXAMPLESEXAMPLES

Solve the inequality xSolve the inequality x22 4x + 12 4x + 12 both graphically and both graphically and algebraically.algebraically.

Solution: [-2,6]Solution: [-2,6]

Solve the inequality xSolve the inequality x44 > x both > x both graphically and algebraically.graphically and algebraically.

Solution: (-Solution: (-,0) ,0) (1, (1, ))

EXAMPLEEXAMPLE

Solve the inequalitySolve the inequality

0 3 - 2 x5 4x

PHYSICSPHYSICS

A ball is thrown vertically upward A ball is thrown vertically upward with an initial velocity of 96 feet with an initial velocity of 96 feet per second. The distance s (in per second. The distance s (in feet) of the ball from the ground feet) of the ball from the ground after t seconds is after t seconds is

s = 96t - 16ts = 96t - 16t22

For what time interval is the ball For what time interval is the ball more than 112 feet above the more than 112 feet above the ground?ground?

PHYSICSPHYSICS

Graph the relationship between s Graph the relationship between s and t.and t.

What is the maximum height of What is the maximum height of the ball?the ball?

After how many seconds does the After how many seconds does the ball reach a maximum height?ball reach a maximum height?

CONCLUSION OF SECTION 3.4CONCLUSION OF SECTION 3.4