Understanding Quadratic Inequalities

What is the first step in solving a quadratic inequality?

• Find the derivative

• Write everything on one side

• Use the quadratic formula

• Graph the equation

How do you determine the zeros of a quadratic equation?

• By setting the equation to zero and factoring

• By using the quadratic formula

• By taking the derivative

• By graphing the equation

What is the purpose of plotting zeros on a number line?

• To calculate the area under the curve

• To determine the slope

• To divide the number line into regions

• To find the maximum value

What is a test point used for in solving inequalities?

• To test if a region is true or false

• To find the vertex

• To calculate the derivative

• To determine the axis of symmetry

How do you represent the solution set of a quadratic inequality?

• Using a graph

• Using a matrix

• Using a table

• Using interval notation

In interval notation, what do parentheses indicate?

• The interval is finite

• The interval is infinite

• The number is excluded

• The number is included

What is the inequality form of the second example problem?

• x^2 + 3x - 10 ≤ 0

• x^2 + 3x - 10 < 0

• x^2 + 3x - 10 > 0

• x^2 + 3x - 10 ≥ 0

What are the zeros of the polynomial x^2 + 3x - 10?

• 0 and 10

• 3 and -10

• 5 and -2

• -5 and 2

What does a true region on the number line indicate?

• The region is not part of the solution

• The region is undefined

• The inequality is true in that region

• The inequality is false in that region

What does a bracket in interval notation signify?

• The interval is undefined

• The number is excluded from the solution

• The interval is infinite

• The number is included in the solution