Graphing a System of Quadratic Inequalities: Examples & Process


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question 1 of 3

What part is shaded for the graph of y < x^2 - 1?

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1. What kind of inequality is used when the line is solid and the shading is above the line?

2. Which part of this graph is the solution region?

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About This Quiz & Worksheet

This quiz and corresponding worksheet will help you gauge your knowledge of how to graph a system of quadratic inequalities. You will be taking a look at how to find the common solution areas to a function that may not be exactly equal. Topics you'll need to know to pass the quiz include understanding which part of a graph would be shaded for y < x^2 - 1 as well as knowing what kind of inequality is used when the line is solid and the shading is above the line.

Quiz & Worksheet Goals

Use this printable worksheet and quiz to review:

  • Shading for y < x^2 - 1
  • Inequality used for a solid line and the shading above it
  • Solution region for a given problem
  • Symbol of inequality used
  • How a system of functions is symbolized

Skills Practiced

This worksheet and quiz will let you practice the following skills:

  • Interpreting information - verify you can read information regarding how a system of functions is symbolized and interpret it correctly
  • Problem solving - use acquired knowledge to solve various quadratic inequality graph problems
  • Reading comprehension - ensure that you draw the most important information from the related graphing a quadratic inequality lesson

Additional Learning

Make sure to also read the accompanying lesson called Graphing a System of Quadratic Inequalities: Examples & Process. This lesson will help you:

  • Define what a quadratic inequality is
  • Identify how the inequality relates to a system of quadratic inequalities
  • Understand how to mathematically notate the system
  • Describe what happens if the inequality is less than or less than or equal to
  • Appreciate what the overlapping shading on the graph represents