Solving One-Variable Inequalities

Which of the following is NOT a form of polynomial inequality?

• f(x) ≠ 0

• f(x) > 0

• f(x) = 0

• f(x) ≤ 0

What is the first step in solving f(x) > 0 for a polynomial?

• Find the values of x that make f(x) positive

• Find the values of x that make f(x) zero

• Find the values of x that make f(x) undefined

• Find the values of x that make f(x) negative

In a sign chart, what do the reference points represent?

• The zeros of the polynomial

• The intervals where the function is undefined

• The maximum values of the function

• The minimum values of the function

When is a rational function undefined?

• When the function is positive

• When both numerator and denominator are zero

• When the denominator is zero

• When the numerator is zero

What is the purpose of creating a sign chart for a rational function?

• To determine the intervals where the function is undefined

• To find the zeros of the function

• To determine the intervals where the function is positive or negative

• To find the maximum values of the function

How can you determine where a function is positive using a graph?

• By finding the zeros of the function

• By finding where the graph is above the x-axis

• By finding where the graph is below the x-axis

• By finding the undefined points of the function

What is the first step in solving x³ - 6x² ≤ 2 - 8x graphically?

• Create a sign chart

• Determine the intervals where the function is positive

• Rewrite the inequality with all terms on one side

• Find the zeros of the function

For the inequality involving a radical, why is f(x) undefined for x < -1?

• Because the function is positive

• Because the function is negative

• Because it results in imaginary solutions

• Because it results in zero

In the inequality (x - 2)√(x + 1) ≤ 0, what are the zeros of the function?

• -1 and 2

• 2 and 3

• 0 and 2

• -1 and 0

What should you do after reviewing the lesson and solving the practice problems?

• Ask questions in class without reviewing

• Skip to the next chapter

• Take the chapter test and review the solutions

• Ignore the chapter test