We have changed our privacy policy. In addition, we use cookies on our website for various purposes. By continuing on our website, you consent to our use of cookies. You can learn about our practices by reading our privacy policy.

Functions, Graphs, and Limits 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.