### Home > CALC > Chapter 1 > Lesson 1.2.3 > Problem 1-51

1-51.

Analyze the graph of at right. Homework Help ✎ What does

*y*approach as*x*→ ∞ ?What does

*y*approach as*x*→ -∞ ?What does

*y*approach as*x*→ l^{−}(from the left)?What does

*y*approach as*x*→ 1^{+ }(from the right)?

The graph appears to be the linear function *y* = *x* + 2, with a hole at (1,3).

Just like the graph of *y* = *x* + 2, this function will go up (*y* →+∞) as we move to the right (*x* →∞)

Refer to the hint in part (a).

As the graph approaches the hole from the left (*x* → −1), what *y*-value does it approach?

Refer to the hint in part (c).