# Worksheet: Sign of a Function

In this worksheet, we will practice determining the sign of a function from its equation or graph.

**Q1: **

In which of the following intervals is negative?

- A
- B
- C
- D
- E

**Q3: **

Determine the sign of the function .

- AThe function is positive for all .
- BThe function is positive when , and equals zero when .
- CThe function is positive when , negative when , and equals zero when .
- DThe function is positive when , negative when , and equals zero when .

**Q4: **

Determine the sign of the function in .

- AThe function is positive when , negative when , and equals zero when .
- BThe function is negative for all .
- CThe function is positive for all .
- DThe function is positive when , negative when , and equals zero when .
- EThe function is positive when , and it equals zero when .

**Q5: **

Determine the sign of the function .

- AThe function is positive when , the function is negative when , and the function equals zero when .
- BThe function is positive when , the function is negative when , and the function equals zero when .
- CThe function is positive when , the function is negative when , and the function equals zero when .
- Dpositive
- EThe function is positive when , the function is negative when , and the function equals zero when .

**Q6: **

Determine the sign of the function .

- AThe function is negative when , positive when , and zero when .
- BThe function is positive when , and zero when .
- CThe function is positive when , negative when , and zero when .
- DThe function is negative when , positive when , and zero when .
- EThe function is positive when , negative when , and zero when .

**Q7: **

Which of the following statements about the sign of the function is correct?

- A is positive for .
- B is negative for .
- C is positive for .
- D is positive for .
- E is negative for .

**Q8: **

Determine the sign of the function .

- AThe function is positive when , the function is negative when , and the function equals zero when .
- BThe function is positive when , the function is negative when , and the function equals zero when .
- CThe function is positive when , the function is negative when , and the function equals zero when .
- DThe function is positive when , the function is negative when , and the function equals zero when .

**Q9: **

The function is positive in which interval?

- A
- B
- C
- D
- E

**Q10: **

Determine the sign of the function .

- AThe function is positive for all , and equals zero when .
- BThe function is positive for all , and equals zero when .
- CThe function is negative at , positive at , and equals zero when .
- DThe function is positive at , negative at , and equals zero when .

**Q11: **

Determine the sign of the function .

- AThe function is positive when , the function is negative when , and the function equals zero when .
- BThe function is positive when , the function is negative when , and the function equals zero when .
- CThe function is positive when , the function is negative when , and the function equals zero when .
- DThe function is positive when , the function is negative when , and the function equals zero when .

**Q12: **

Determine the sign of the function .

- AThe function is positive when , and the function equals zero when .
- BThe function is positive for all .
- CThe function is positive when , and the function equals zero when .
- DThe function is positive when , and the function equals zero when .
- EThe function is positive when , and the function equals zero when .

**Q13: **

Determine the sign of the function .

- AThe function is positive for all , and the function equals zero when .
- BThe function is negative for all , and the function equals zero when .
- CThe function is positive for all .
- DThe function is negative for all .

**Q14: **

Determine the sign of the function in .

- AThe function is positive when and is zero when .
- BThe function is negative when and is zero when .
- CThe function is positive when and is zero when .
- DThe function is negative when and is zero when .
- EThe function is positive when and is zero when .

**Q15: **

What is the condition on so that is negative?

- A
- B
- C
- D

**Q17: **

Determine the interval in which the function is NOT negative.

- A
- B
- C
- D
- E

**Q18: **

What are the values of for which the functions and are both positive?

- A
- B
- C
- D
- E

**Q19: **

Determine the interval where the sign of each of the two functions and are negative together on .

- A
- B
- C
- D
- E

**Q20: **

Is there an interval in where the two functions and are both negative?

- Ano
- Byes

**Q21: **

Find the interval over which the function is positive.

- A
- B
- C
- D

**Q22: **

Determine the sign of the function , where .

- AThe function is positive in the interval , negative in the interval , and equals zero at .
- BThe function is positive in the interval , negative in the interval , and equals zero at .
- CThe function is positive in the interval , negative in the interval , and equals zero at .
- DThe function is negative in the interval , positive in the interval , and equals zero at .
- EThe function is positive in the interval , negative in the interval , and equals zero at .

**Q23: **

Find the sign of the function across its domain.

- A is negative for .
- B is positive for .
- C is positive for .
- D is negative for .
- E is positive for .

**Q24: **

Given a real, nonzero number , what can you say about the sign of the function for any real value of ?

- AIt is always positive.
- BIt is always the same sign as .
- CIt is always negative.

**Q25: **

Determine the sign of the function in .

- AThe function is positive when and equals zero when .
- BThe function is positive when and equals zero when .
- CThe function is positive when , the function equals zero when , and the function is negative when .
- DThe function is negative when and equals zero when .
- EThe function is negative when , the function equals zero when , and the function is positive when .