Math 205 - Calculus I
Homework due August 26
Question 1. Find a graph of a function in the newspaper or on the web.
Print it out and glue it to a piece of paper. Below the graph, answer the
following questions:
(a) What is the input (usually on the horizontal axis) and the output (usu-
ally on the vertical axis)?
(b) Why is what you provided the graph of a function? That is, verify that
above every input there is at most one output.
(c) What is the domain and range of this function? That is, what are the
admissible inputs (i.e., domain) and possible outputs (i.e., range)?
(d) What are some other adjectives that you could use to describe your
graph? Be as creative or descriptive as possible.
Question 2. Draw the graph of something that relates to your life. For
example, one could graph their height or weight as a function of their age;
for your example, however, do not choose these. Choose something else that
is a bit more creative. Answer questions (a)-(d) from Question 1 for your
graph.
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