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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