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Algebra 1 · Chapter 6 · Lesson 6.2 · Printable PDF

What an Asymptote Is Worksheet with Answer Key

6 problems on horizontal asymptotes: reading which side and above or below, deciding from tables whether one exists, finding an exponential from its asymptote, a cooling cake, and comparing two decay speeds. 2 pages, with a worked answer key.

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Printable What an asymptote is worksheet with answer key - Algebra 1 (Page 1 PDF preview)
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What's on the worksheet

  1. Give the horizontal asymptote, its side and whether the graph is above or below it.
    y = 7(0.4)^xy = 2 \cdot 5^xy = 3^x + 6y = (0.25)^x - 9y = 15 - 4(0.6)^x
  2. Decide from each row of outputs whether it suggests a horizontal asymptote on the right.
  3. Find the rule of an exponential graph from its asymptote and two points.
  4. Check Mia's claim about the horizontal asymptote of a slowly growing table.
  5. Cake cooling model: find the oven and room values and what the temperature approaches.
  6. Compare how fast two decaying functions approach their shared asymptote.

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

What an asymptote is: the lesson ›

More Chapter 6 worksheets: Exponential functions and choosing a model