1. Signs of the Coordinates in Each Quadrant
Chapter 3
Discovery 1
Signs of the Coordinates in Each Quadrant
Set your calculator to the integer screen setting. Use your arrow
keys to locate five points in each of the four quadrants. Note that
the coordinates of the points are displayed on the screen. Write the
ordered pairs.
Quadrant I Quadrant II Quadrant III Quadrant IV
(____,____) (____,____) (____,____) (____,____)
(____,____) (____,____) (____,____) (____,____)
(____,____) (____,____) (____,____) (____,____)
Write a rule for a condition on the signs of the coordinates in each
quadrant.

2. Location of the Zero Coordinate on the Axes
Chapter 3
Discovery 2
Location of the Zero
Coordinate on the Axes
Set your calculator to the integer screen setting. Use your arrow
keys to locate five points on each of the axes. Write the ordered pairs.
x-Axis y-Axis
(____,____) (____,____)
Write a rule for a condition on the numbers in an ordered pair for
any point on the x-axis or the y-axis.

3. Graphs of Functions The following are graphs of functions: 1. 2. 3.
Chapter 3
Discovery 3
Graphs of Functions
The following are graphs of functions: 1. 2. 3.
If possible, draw a vertical line through more than one point on the graph.
Write a rule for determining a function from a graph of a relation by
drawing a line through points on the graph.
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4. Chapter 3
Discovery 3
Graphs of Functions
Check your rule on the following two graphs of relations that are not
functions: 4. 5.
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5. Increasing and Decreasing Functions,
Chapter 3
Discovery 4
Increasing and Decreasing Functions,
Relative Maximum, and Relative Minimum
Graph f(x)= x2 - 4x on an integer window.
1. Trace the function from left to right (the x-values are increasing),
and determine the following function values:
f (-2) =___ f (-1) =___ f (0) =___
f (1) =___ f (2) =___ f (3) =___
f (4) =___ f (5) =___ f (6) =___
2. The function values first ___ and then ___ as the x-values increase.
(Insert decrease or increase.)
3. Tracing the graph from left to right, we find that the graph
first ___ and then ___. (Insert falls or rises.)
Write a rule to determine, from a graph, whether the function is
increasing or decreasing.
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6. Increasing and Decreasing Functions,
Chapter 3
Discovery 4
Increasing and Decreasing Functions,
Relative Maximum, and Relative Minimum
4. The function has a relative ___. (Insert maximum or minimum.)
5. The graph has one ___ point. (Insert low or high.)
Write a rule to determine, from the graph, whether the function has
a relative maximum or minimum.
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