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Rewritten Equations

Unit 2 ● Lesson 18 ● Activity 1

Graph each of the following using desmos or a graphing calculator.

a) f(x) =

b) g(x) = + 3

C) p(x) = - 7

What do you notice?

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

Warm-up

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Graphs of Rational Functions (Part 2)

Unit 2

Lesson 18

Polynomials and Rational Functions

Expressions and Equations

ALGEBRA 2

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Unit 2 ● Lesson 18

I can identify a horizontal asymptote from a graph or an equation of a rational function.

Learning

Targets

Algebra 2

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horizontal asymptote

Unit 2 ● Lesson 18

A horizontal line that a function's graph approaches as the input values (x) tend toward positive or negative infinity

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

Glossary

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Horizontal Asymptotes

Unit 2 ● Lesson 18 ● Activity 3

Here are four graphs of rational functions.

  1. Match each function with its graphical representation.

  • Where do you see the horizontal asymptote of the graph in the expressions for the functions?

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

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Graphs of Rational Functions (Part 2)

Unit 2 ● Lesson 18

Identify the horizontal asymptote of the function.

What is the vertical asymptote for each function?

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

Lesson Synthesis