Leading Coefficient: Definition & Explanation


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What is the leading coefficient in the term 4x^6 + 2x^2 + 5?

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1. What is the leading coefficient in the term -4x^5 + 3x^2 - 7?

2. Changing the sign on the leading coefficient will cause what change to a graph?

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About This Quiz & Worksheet

The leading coefficient of a graph can tell you a lot about what it will look like when graphed. In this quiz, you'll recognize leading coefficients and determine how they can affect a graph.

Quiz & Worksheet Goals

This leading coefficient quiz tests your ability to:

  • Recognize the leading coefficient in a given term
  • Recall what changing the sign on the leading coefficient will do to a graph
  • Determine which of given graphs has the largest leading coefficient
  • Understand what graph will be the widest when given multiple terms

Skills Practiced

  • Reading comprehension - draw from relevant information from the lesson on finding the leading coefficient
  • Critical thinking - use this information to consider if a graph will have the largest leading coefficient or be the widest
  • Information recall - remember the knowledge you've gained regarding leading coefficients

Additional Learning

The lesson called Leading Coefficient: Definition & Explanantion covers the following objectives:

  • Differentiate between graphing with a positive and negative leading coefficient
  • Explain linear graphs
  • Provide examples of graphs and their given leading coefficients