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