Math 31 / 2015 /

Math 31 Assignment #1

Answer all questions on separate paper. Show all calculations unless specifically asked for the final answer only.

  1. Factor the polynomial
  1. Factor and reduce to simplest form:
  1. Rationalize the numerator and simplify:
  1. Draw the graph of on graph paper. Show an appropriate table of values, any gaps, and asymptotes. Show only the portion of the domain. All work must be shown and done on the graph paper. Please note that while the domain is small, the graph should take up a minimum of ¾ of a page.
  1. Limit of a sequence
  1. Construct a table of values for the first eight terms of the sequence
  1. From the table of values in a, predict the value of
  1. Construct a table of values, including for the sequence
  1. From the table of values in c, predict the value fo
  1. For the given graph of , estimate the limits, if they exist, and answer questions h and i.

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Math 31 / 2015 /
  1. Explain why is not continuous at
  2. Explain why is continuous at

1 / Mrs. Connor
Math 31 / 2015 /
  1. Using graph paper, draw the graph of the function defined by the following. Use this graph to answer part b.
  1. State each limit value if it exists. If it does not exist, state why.

1 / Mrs. Connor
Math 31 / 2015 /

1 / Mrs. Connor
Math 31 / 2015 /
  1. Evaluate the limit of each sequence algebraically

1 / Mrs. Connor
Math 31 / 2015 /

1 / Mrs. Connor
Math 31 / 2015 /
  1. Evaluate the limit of the function of a real variable

1 / Mrs. Connor
Math 31 / 2015 /

1 / Mrs. Connor
Math 31 / 2015 /
  1. Evaluate each limit algebraically

1 / Mrs. Connor
Math 31 / 2015 /

1 / Mrs. Connor
Math 31 / 2015 /
1 / Mrs. Connor