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

1-51.

*y* =

What does

*y*approach as*x*→ ∞? What does*y*approach as*x*→ −∞? Describe how your answer can be predicted from the given equation.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*→∞)What does

*y*approach as*x*→ 1^{−}(1 from the left)? What does*y*approach as*x*→ 1^{+ }(1 from the right)? Describe how your answer can be predicted from the given equation.Refer to the hint in part (a).

As the graph approaches the hole from the left (

*x*→ −1), what*y*-value does it approach