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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