Graphing and Functions Ordered Pairs Ordered Pairs To




























































































































































- Slides: 156
Graphing and Functions
Ordered Pairs
Ordered Pairs To graph ordered pairs of real numbers, we need a coordinate system.
Ordered Pairs The rectangular or Cartesian coordinate system
Ordered Pairs The rectangular or Cartesian coordinate system consists of a horizontal number line, the x-axis
Ordered Pairs The rectangular or Cartesian coordinate system consists of a horizontal number line, the x-axis and a vertical number line, the y-axis
x - axis
x x - axis
x x - axis
y - axis x x - axis
y y - axis x x - axis
y x
y x
y x
y x Origin
y x Origin
y x Origin
y P (a, b) x Origin
y P (a, b) Quadrant I x Origin
y P (a, b) Quadrant II Quadrant I x Origin
y P (a, b) Quadrant II Quadrant I x Quadrant III Origin
y P (a, b) Quadrant II Quadrant I x Quadrant III IV Origin
Quadrant I
Quadrant I
Quadrant I
y Quadrant II Quadrant I x Quadrant III IV
Quadrant II
Quadrant II
Quadrant II
y Quadrant II Quadrant I x Quadrant III IV
Quadrant III
Quadrant III
Quadrant III
y Quadrant II Quadrant I x Quadrant III IV
Quadrant IV
Quadrant IV
y Quadrant II Quadrant I x Quadrant III IV
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair and tell which quadrant the point is located in x
y Quadrant I Locate on the xy-plane the point corresponding to the ordered pair and tell which quadrant the point is located in x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair and tell which quadrant the point is located in x
y Locate on the xy-plane the point corresponding to the ordered pair and tell which quadrant the point is located in x Quadrant III
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair and tell which quadrant the point is located in x
y Quadrant II Locate on the xy-plane the point corresponding to the ordered pair and tell which quadrant the point is located in x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair and tell which quadrant the point is located in x
y Locate on the xy-plane the point corresponding to the ordered pair and tell which quadrant the point is located in x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair x
y Locate on the xy-plane the point corresponding to the ordered pair and tell which quadrant the point is located in x
y Locate on the xy-plane the point corresponding to the ordered pair and tell which quadrant the point is located in x Quadrant IV
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x
y Find the coordinates of the point x