COLLEGE ALGEBRA 2.3 Linear Functions 2.4 Quadratic Functions 3.1 Polynomial and Rational Functions

2.3 Slopes of Lines

2.3 Finding the Equation of a Line

Find the equation of the line that passes through A (-2,4) and B(2,-1)

2.3 Parallel and Perpendicular Lines Two nonintersecting lines in a plane are parallel. Their slopes are equivalent to one another. Two lines are perpendicular if and only if they intersect at a 90 ⁰ angle. Their slopes are the opposite and reciprocal of one another

2.3 Parallel and Perpendicular Lines Find the equation of the line whose graph is parallel to the graph of 2x – 3y = 7 and passes through the point P(-6, -2)

2.3 Parallel and Perpendicular Lines

2.3 Applications of Linear Functions The bar graph on page 193 is based on data from the Nevada Department of Motor Vehicles. The graph illustrates the distance d (in feet) a car travels between the time a driver recognizes an emergency and the time the brakes are applied for different speeds. a. Find a linear function that models the reaction distance in terms of speed of the car by using the ordered pairs (25, 27) (55, 60). b. Find the reaction distance for a car traveling at 50 miles per hour.

2.3 Applications of Linear Functions A rock attached to a string is whirled horizontally about the origin in a circular counter-clockwise path with radius 5 feet. When the string breaks, the rock travels on a linear path perpendicular to the radius OP and hits a wall located at y = x + 12 Where x and y are measured in feet. If the string breaks when the rock is at P(4,3), determine the point at which the rock hits that wall.

2.4 Quadratic Functions

A graph is symmetric with respect to a line L if for each point P on the graph there is a point H on the graph such that the line L is the perpendicular bisector of the line segment PH.

2.4 Quadratic Functions

2.4 Max and Min of Quad Function

2.4 Applications of Quadratic Functions A long sheet of tin 20 inches wide is to be made into a trough by bending up two sides until they are perpendicular to the bottom. How many inches should be turned up so that the trough will achieve its maximum carrying capacity?

3.1 Division of Polynomials

3.1 Synthetic Division

3.1 Remainder Theorem

3.1 Factor Theorem

3.1 Reduced Polynomials The previous answer we just found of (x+5) is called a reduced polynomial or a depressed polynomial.

3.1 Reduced Polynomials