# Lesson Worksheet: Sign of a Function Mathematics

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

Q1:

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

• A
• B
• C
• D
• E

Q2:

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

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

Q3:

In which of the following intervals is  negative?

• A
• B
• C
• D
• E

Q4:

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 .

Q5:

For which values of is the function  positive?

• A
• B
• C
• D
• E

Q6:

Determine the sign of the function .

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

Q7:

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 .

Q8:

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 .

Q9:

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

• A
• B
• C
• D
• E

Q10:

Determine the interval where the sign of both of the two functions and is negative in .

• A
• B
• C
• D
• E

This lesson includes 38 additional questions and 369 additional question variations for subscribers.