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Algebra 2 · Chapter 5 · Lesson 5.3 · Printable PDF

Graphing Square Root Functions Worksheet with Answer Key

5 problems on graphing square root functions: rules from a domain and range, checking which rules give the same graph, average rates of change, endpoints and direction, and a sideways parabola that is not a function. 2 pages, with a worked answer key.

5 problems2 pagesanswer key
Printable Graphing square root functions worksheet with answer key - Algebra 2 (Page 1 PDF preview)
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What's on the worksheet

  1. Write a square root rule from the given domain and range, and give the endpoint.
    domain [-4, \infty), range (-\infty, 1]domain (-\infty, 3], range [0, \infty)domain (-\infty, -2], range (-\infty, -5]domain [6, \infty), range [-2, \infty)domain (-\infty, 0], range [7, \infty)
  2. Decide which rules have the same graph as one given rule, and find where the others differ.
  3. Find the average rate of change over four intervals and say what the pattern shows.
  4. Find the points where the radicand is 0, 1, 4 and 9, sketch the graph and give the domain and range.
  5. Work with a sideways parabola: find two points with the same x and explain why it is not a function.

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The free lesson teaches it with worked examples and practice problems.

Graphing square root functions: the lesson ›

More Chapter 5 worksheets: Radicals, rational exponents and radical functions