Post on 12-Jan-2016
Finite Intervals
Set of all real numbers that lie strictly between two fixed numbers a and b a and b: “endpoints” open interval: endpoints not
included a < x < b (a, b) on the number line:a b
Finite Intervals
Set of all real numbers that lie between and include two fixed numbers a and b closed interval: endpoints included a ≤ x ≤ b [a, b] on the number line:
a b
Finite Intervals
An interval containing only one endpoint half-open interval a < x ≤ b OR a ≤ x < b (a, b] OR [a, b) on the number line:
a b a b
A Viewing Windowon the Coordinate Plane
Points in the coordinate plane that correspond to a set of ordered pairs is a graph of the set.
The graph represents a small portion of the coordinate plane. “Viewing Window” or “View”
Graphs by Hand
Make a table of xy-pairs that fit the equation
Sketch coordinate axes with scales that will fit the points in your table
Plot the points (x, y) from the table Sketch a smooth curve through the
plotted points Label the curve with its equation
Graphs on TI Calculators
Select the Y= screen and enter the equation on one of the available lines
Set the dimensions of the viewing window using WINDOW or ZOOM
Select the GRAPH screen Mode
connected vs. dot sequential vs. simultaneous
Intercepts Algebraically
Intercepts The points where a graph touches
or crosses an axis X-Intercept
Set y=0 in the equation and solve for x
Y-Intercept Set x=0 in the equation and solve
for y