Introducing Interval Notation
H. Math 3 – Interval Notation Name:____________________________
Instructions: Fill in the missing parts in the chart below.
| |Inequality |Interval |Graph |
| | |Notation | |
|Ex. |-3 < x < 5 |[-3,5) | |
| | | | |
|Ex. |x > 2 |(2,() | |
| | | | |
|1. |x < 3 | | |
|2. | |(-(,4) | |
|3. | | | |
| | | | |
|4. | |[5, () | |
|5. | | | |
| | | | |
|6. |x < 1 or x > 5 | | |
|7. | | | |
|8. |x is any real # | | |
|9. | | | |
| | | | |
|10. | |(1,4) | |
|11. |x > 7 | | |
|12. | |[-2,2] | |
Given the graphs of f(x) below find:
13. 14. 15.
a) On what interval of x a) On what interval of x a) On what interval of x
is f(x) increasing? is f(x) decreasing? is f(x) constant?
b) On what interval of x b) On what interval of x b) On what interval of x
is f(x) positive? is f(x) positive? is f(x) negative?
For each graph below, state the domain and the range IN INTERVAL NOTATION
1. 2. 3. 4. 5.
D: _______________ D: ______________ D: ______________ D: _____________ D: ______________
R: _______________ R: ______________ R: ______________ R: _____________ R: ______________
6. 7. 8. 9. 10.
D: _______________ D: ______________ D: ______________ D: _____________ D: ______________
R: _______________ R: ______________ R: ______________ R: _____________ R: ______________
................
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