1. Given the graph of y = f (x) below, answer the following questions.
(a) Determine the values of f ( 2), f ( 1), f (0), f (1), and f (2), if defined.
(b) Fill in the following blanks:
As x gets closer and closer (but not equal) to -2, f (x) gets closer and closer to
.
As x gets closer and closer (but not equal) to -1, f (x) gets closer and closer
to
.
As x gets closer and closer (but not equal) to 0, f (x) gets closer and closer
to
.
(c) What happens as x gets closer and closer (but not equal) to 2? Does the function
f (x) get close to a single value?
(d) Based on your answers to questions 2 and 3 (not question 1!), determine the
following limits, or state that the limit does not exist.
i. lim f (x)
x! 2
ii. lim f (x)
x! 1
iii. lim f (x)
x!0
iv. lim f (x)
x!2