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CHAPTER 2, FORM A COLLEGE ALGEBRA AND TRIGONOMETRY 1. Match the set described in Column I with the correct interval notation from Column II. Choices in Column II may be used once, more than once, or not at all.
x−3
b. Range of f ( x) = x − 3 c. Domain of f ( x ) = x 2 − 16 d. Range of y = 2 x
2
e. Domain of f ( x) = 3 x − 2 f. Range of f ( x) =
3
x +2
g. Domain of f ( x) = x + 2 h. Range of f ( x) = x + 3
b. _____________
II
c. _____________
A. ( −∞, ∞)
d. _____________
I a. Domain of f ( x ) =
1. a. _____________
[3, ∞) C. [ 0, 2] D. [ 0, ∞ ) E. [ −3, 3] F. ( −∞, −2] G. [ −3, ∞) H. [ −7, ∞ ) B.
e. _____________
f. _____________
g. _____________
i. Domain of y = 2s 2
h. _____________
j. Range of f ( x ) = x 2 − 7 i. _____________ j. _____________ The graph shows the line that passes through the points ( − 5, − 3) and ( − 1, 4). Refer to it to answer Exercises 2–6.
2. What is the slope of the line?
2.
___________________________
3. What is the distance between the two points shown?
3.
___________________________
4. What are the coordinates of the midpoint of the segment joining the two points?
4.
___________________________
5. Find the standard form of the equation of the line.
5.
___________________________
6. Write the linear function defined by f ( x) = ax + b that
6.
___________________________
has this line as its graph.
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