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In this lesson, we will learn how to determine the sign of a constant, linear, or quadratic function from its equation.

Q1:

For which values of π₯ is the function π ( π₯ ) = 8 π₯ β 1 3 positive?

Q2:

For which values of π₯ is the function π ( π₯ ) = β 5 π₯ + 2 negative?

Q3:

Determine the sign of the function π ( π₯ ) = β 1 5 π₯ in β .

Q4:

Determine the sign of the function π ( π₯ ) = 7 π₯ + 1 6 β 7 π₯ + 6 4 2 in β .

Q5:

Determine the sign of the function π ( π₯ ) = 3 π₯ β 2 β 3 π₯ + 1 2 in β .

Q6:

Determine the sign of the function π ( π₯ ) = β 5 π₯ + 5 .

Q7:

Determine the sign of the function π ( π₯ ) = 2 .

Q8:

Determine the sign of the function π ( π₯ ) = β 4 .

Q9:

In which of the following intervals is π ( π₯ ) = β 8 negative?

Q10:

In which of the following intervals is π ( π₯ ) = 1 3 positive?

Q11:

Which of the following statements about the sign of the function π ( π₯ ) = ( π₯ + 3 ) 2 is correct?

Q12:

What is the condition on π₯ so that π ( π₯ ) = 3 π₯ is negative?

Q13:

What is the condition on π₯ so that π ( π₯ ) = 1 1 π₯ is positive?

Q14:

Determine where the function π ( π₯ ) = π₯ β 4 0 0 2 is positive.

Q15:

Determine the sign of the function π ( π₯ ) = π₯ + 1 0 π₯ + 1 6 2 .

Q16:

Determine the sign of the function π ( π₯ ) = π₯ + 8 π₯ β 9 2 .

Q17:

Determine the sign of the function π ( π₯ ) = 5 β 1 7 π₯ .

Q18:

What are the values of π₯ for which the functions π ( π₯ ) = π₯ β 5 and π ( π₯ ) = π₯ + 2 π₯ β 4 8 2 are both positive?

Q19:

The function π ( π₯ ) = β ( π₯ β 1 ) ( π₯ + 6 ) is positive in which interval?

Q20:

Determine the interval where the sign of each of the two functions π ( π₯ ) = 2 π₯ β 7 π₯ β 3 0 2 and π ( π₯ ) = π₯ β 3 π₯ β 1 0 2 are negative together on β .

Q21:

Determine the sign of the function π ( π₯ ) = 4 β 2 5 π₯ 2 .

Q22:

Determine the sign of the function π ( π₯ ) = ( π₯ β 8 ) ( π₯ β 7 ) .

Q23:

Determine the interval in which the function π ( π₯ ) = β 1 5 β 8 π₯ β π₯ 2 is NOT negative.

Q24:

Determine the sign of the function π ( π₯ ) = β π₯ β 2 π₯ β 7 2 .

Q25:

Determine the sign of the function π ( π₯ ) = π₯ β 1 6 π₯ + 6 4 2 .

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