### Home > CALC > Chapter 1 > Lesson 1.2.3 > Problem 1-52

1-52.

Find a function with the following complete set of approach statements. Hint: Start by sketching the graph. 1-52 HW eTool (Desmos). Homework Help ✎

As

*x*→ 3^{+},*y*→ ∞,

*x*→ 3^{−},*y*→ −∞,

*x*→ −∞,*y*→ 1, and as

*x*→ ∞,*y*→ 1.

Notice the vertical asymptote at *x* = 3

Notice the horizontal asymptote at *y* = 1

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