Concave Down: Definition, Function & Graph


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question 1 of 3

If a curve is concave down is some region, which of the following is FALSE?

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1. If the second derivative is less than zero in some region, which of the following is FALSE?

2. Which of the curves in the picture is concave down?

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About This Quiz & Worksheet

Test your ability to interpret a concave down graph in this quiz and worksheet combo. Practice questions focus on reading derivatives and recognizing a concave down graph.

Quiz & Worksheet Goals

This assessment measures your understanding of:

  • What constitutes a concave down graph
  • What occurs with the derivatives in a concave down graph
  • Reading a concave down graph

Skills Practiced

  • Making connections - use understanding of what happens in a concave down graph
  • Information recall- access the knowledge you've gained regarding what happens with derivatives in a concave down graph
  • Knowledge application - use your knowledge to answer questions that ask you to identify graphs

Additional Learning

For more understanding about graphical representations of data, review the lesson entitled Concave Down: Definition, Function & Graph. This lesson covers:

  • The difference between concave down and concave up
  • An example that demonstrates what happens in a concave down graph
  • What a tangent is