# Worksheet: Determining the Sign of a Function from a Graph

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

**Q1: **

Determine the sign of the function represented by the figure below in .

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

**Q2: **

Determine the sign of the function represented by the figure below across its domain in .

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

**Q3: **

Determine the sign of the function represented by the figure below over the interval .

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

**Q4: **

Which of the following correctly describes the interval over which the illustrated function is negative?

- A
- B
- C
- D
- E

**Q5: **

Determine the sign of the function represented in the figure below in .

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

**Q6: **

Determine the sign of the quadratic function represented in the graph below in .

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

**Q7: **

Determine the sign of the function

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