Using Monotonicity & Concavity to Analyze Curves


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question 1 of 3

What does a curve that is concave down look like?

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1. What does a curve that is concave up look like?

2. The first derivative of a monotonic function does what?

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About This Quiz & Worksheet

With this short online quiz you'll be able to measure your ability to evaluate curves with monotonicity and concavity. The quiz consists of questions related to the nature of curves with monotonicity and concavity including basic principles and graph shape.

Quiz & Worksheet Goals

The goal of this assessment is to see if you know:

  • How a graph curve looks with a downward concave and an upward concave shape
  • How derivatives affect the nature of monotonic and concave functions

Skills Practiced

Here are some of the skills you will practice with our quiz:

  • Reading comprehension- ensure that you understood the most important information from the related monotonicity and concavity lesson
  • Making connections- use understanding of the concave curves to answer questions about the relative shape of these kinds of graphs
  • Information recall - access the knowledge you've gained regarding how derivatives affect monotonic and concave functions

Additional Learning

In order to learn more about evaluating curves with monotonicity and concavity you can view our lesson, Using Monotonicity & Concavity to Analyze Graphs right from the comfort of your own home. You'll learn all about this mathematics topic including information on:

  • Differences between monotonic and concave graphs
  • Evaluating graphs using monotonicity and concavity
  • Analyzing the affects derivatives have on functions