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# 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.