# 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

Q2:

For which values of is the function positive?

• 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

Q16:

Determine where the function is positive.

• A
• B
• C
• D
• E

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 .