Functions, Graphs, and Limits True or False

1. Which of the following statements is true for a function f(x)? -> A vertical asymptote is drawn at x = a if at least one of  is either ∞ or -∞


2. Find all vertical asymptotes (if any) of the function  -> x = 0


3. The function  has

-> a hole at x = -10 and a vertical asymptote at x = 7


4. Which statement is true? ->


5. The function   has

-> a horizontal asymptote

6. The function  has

-> a horizontal asymptote at y = 0


7. Which of the following pictures could be a graph of the function ? ->
8. Which of the following pictures could be a graph of the function 

->

9.

-> 0

10. For the function  ,

which function should we choose for p(x) to ensure that ?

-> p(x) = ln x + x2



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