ALGEBRA 2
UNIT 2: QUADRTIC FUNCTIONS
 SOLVING QUADRATIC INEQUALITIES
The slope (Meaning or Definition): The slope of a line is the number of units that a line rises or drops vertically for each unit of horizontal change heading in the (right direction). Note that the rise of a slope has a sign either negative(down) or positive (up) but the run is always to the right. 
Forms of the Equation of a Line
The general form of the equation of a line is given by Ax+By+Cy=0
The slope intercept form of the equations of a line is given by y=mx+b
The point slope form of the equation of a line is given by y-y1=m(x-x1)
The vertical form of the equation of a line is given by x= a
The horizontal form of the equation of a line is given by y = b
Strategy to Write the Equation of a Line Given The Slope and Y-intercept
  1. Write down the slope intercept formula for the equation of a line y=mx+b.
  2. Assign the values of the slope to m and the y- intercept to b.
  3. Substitute the values into the slope intercept form of the equation of a line. 
Strategy to Write the Equation of a Line Given The Slope and a Point
  1. Write down the point slope form of the equation of a line y-y1=m(x-x1) .
  2. Assign the values of the slope to m and the coordinate values of the point to x1 and y1.
  3. Substitute the values into the slope intercept form of the equation of a line. 
1-2 FUNCTIONS: TEST, EVALUATION,DOMAIN AND COMPOSITION
Definition  (Meaning) of a Function:
A function from a set A to a set B is a relation that assigns to each element x in the set A exactly one element y in set B. The set A is the domain and the set B is the range.
  
VIDEO TUTORIAL
1-3 GRAPHS OF FUNCTION AND ITS PROPERTIES
Definition  (Meaning) of a Domain and Range:
Graphically the domain can be described as the horizontal span of the graph of a function when it is projected on the x-axis. The domain can be thought of as the width of the graph of a function. The range on the other hand is the vertical span of the graph of a function when it is projected on the y-axis. It can be thought of as the height of a function. 
  
VIDEO TUTORIAL ON DOMAIN RANGE BEHAVIOR & EXTREMA
1-5 OPERATION ON FUNCTIONS
Operation on Functions:
In this section we will be finding the sum, difference, quotient, product, and composition of two functions. The domain of the function will need to be stated for the quotient component. 
  
VIDEO TUTORIAL ON OPERATION ON FUNCTIONS