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Functions, Graphs, and Limits

Functions, Graphs, and Limits

Finding Horizontal/ Slant/ Curvilinear Asymptotes Exercises

Example 1

For the function find any horizontal, slant, or curvilinear asymptotes. Specify the type of each asymptote, and whether the function f approaches the asymptote as x approaches ∞, -∞, or both.

  • f(x) = 2-x

Example 2

For the function find any horizontal, slant, or curvilinear asymptotes. Specify the type of each asymptote, and whether the function f approaches the asymptote as x approaches ∞, -∞, or both.

Example 3

For the function find any horizontal, slant, or curvilinear asymptotes. Specify the type of each asymptote, and whether the function f approaches the asymptote as x approaches ∞, -∞, or both.

  • f(x) = 3 + ex

Example 4

For the function find any horizontal, slant, or curvilinear asymptotes. Specify the type of each asymptote, and whether the function f approaches the asymptote as x approaches ∞, -∞, or both.

Example 5

For the function find any horizontal, slant, or curvilinear asymptotes. Specify the type of each asymptote, and whether the function f approaches the asymptote as x approaches ∞, -∞, or both.

Example 6

Find the horizontal / slant / curvilinear asymptote for the rational function.

Example 7

Find the horizontal / slant / curvilinear asymptote for the rational function.

Example 8

Find the horizontal / slant / curvilinear asymptote for the rational function.

Example 9

Find the horizontal / slant / curvilinear asymptote for the rational function.

Example 10

Find the horizontal / slant / curvilinear asymptote for the rational function.

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