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Algebra 2 · Chapter 5 · Lesson 5.4 · Printable PDF

Cube Root Functions and Roots as Powers Worksheet with Answer Key

6 problems on cube root functions and roots as powers: writing rules with a center point, rising or falling, key points, fifth and fourth root powers and their domains, half-turn symmetry about the center, and reading a rule from a graph. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
Printable Cube root functions and roots as powers worksheet with answer key - Algebra 2 (Page 1 PDF preview)
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What's on the worksheet

  1. Write each rule in cube root form, give the center point and say if the graph rises or falls.
    y = 4 - \sqrt[3]{x + 1}y = -\sqrt[3]{3 - x}y = -2\sqrt[3]{-x - 5} - 4y = (8 - x)^{1/3} + 2
  2. Rewrite a cube root function, give the center and key points, and more.
  3. Compare a fifth-root power with a fourth-root power: values, domain and range.
  4. Show a point is on the graph and find where a half turn about the center carries it.
  5. Name points on a cube root graph from its center and one more point, without finding the rule.
  6. Find the rule of the cube root graph shown in the figure.

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Cube root functions and roots as powers: the lesson ›

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