CPM Homework Help : CALC Problem 1-51

Analyze the graph of at right. Homework Help ✎
1. What does y approach as x → ∞ ?
2. What does y approach as x → -∞ ?
3. What does y approach as x → l⁻ (from the left)?
4. What does y approach as x → 1⁺(from the right)?

Hint (a):

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

Answer (a):

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

Hint (b):

Refer to the hint in part (a).

Hint (c):

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

Hint (d):

Refer to the hint in part (c).