Reading a Graph
Use the graph of to answer the following.
Determine .
Determine .
Find all for which .
Find all for which .
Determine the -intercepts.
Determine the -intercepts.
Determine the domain of .
Determine the range of .
a) -3
b) 4 – point out that even though 3 is not in the first part of the graph (quadrants II-IV), there is a point where x=3 on the line in quadrant I.
c) -3 and -1
d) -4 and 0
e) (-3,0) and (-1,0) – make the connection to part (c)
f) (0,-3) – make the connection to part (d)
g) (-∞, ∞) – discuss that even though there is a break at x=2, it is included as an x-value.
h) (-∞,1] ∪ {4} – note that 1 is included since there is not a hole at y=1. Also note the notation at 4 since it is only one value.
2
Check your answers, make changes as needed:
-3
4
-1 and -3
0 and -4
(-1,0) (-3, 0)
(0, -3)
(-)
(-
Note for g: the open circle at 2 is picked up in the domain by the closed circle at 2.
Note for h: For range, there is a gap between y = 1 and y = 4. This is why we use the union
symbol to “unite” the 4 with the rest of the range. Note the { } being used with 4.
ANSWERS WILL NOT BE GIVEN FOR THE ADDITIONAL GRAPHS.
Use the graph of to answer the following.
Determine .
Determine .
Find all for which .
Find all for which .
Determine the -intercepts.
Determine the -intercepts.
Determine the domain of .
Determine the range of .
Use the graph of to answer the following.
Determine .
Determine .
Find all for which .
Find all for which .
Determine the -intercepts.
Determine the -intercepts.
Determine the domain of .
Determine the range of .
Use the graph of to answer the following.
Determine .
Determine .
Find all for which .
Find all for which .
Determine the -intercepts.
Determine the -intercepts.
Determine the domain of .
Determine the range of .
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