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How to Find the Arc Length of a Function

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

What is the equation for the length of a curve following y=f(x) between x=a and x=b?

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1. What is the equation for the length of the curve following y=f(x) between x=a and x=b given f(x) below?

2. What is the length of y = x between x=3 and x=8?

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About This Quiz & Worksheet

Evaluate your ability to find and identify arc lengths of a function using this quiz and worksheet combo. This interactive quiz and printable worksheet will ask questions about curve length and equations used to find it.

Quiz & Worksheet Goals

In these guides, students will be tested on the following:

  • Interpreting graphs and curves
  • The arc lengths of functions
  • Identifying equations to find the arc length

Skills Practiced

This quiz will require a number of skills, including:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on finding arc lengths
  • Problem solving - use acquired knowledge to solve for curve length in practice problems
  • Interpreting information - verify that you can read information regarding how to create an equation to find arc length and interpret it correctly
  • Information recall - access the knowledge you've gained regarding functions and arc length

Additional Learning

For additional information on finding the arc length of a function, review the complementary lesson called How to Find the Arc Length of a Function. Objectives covered by the lesson include:

  • Apply arc length functions to real life situations
  • Identify equations used to find curve length
  • Know how calculus is used in finding arc length
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