Part a:
The relationship is between the price of petroleum per liter
and the years from 1896 to 2011. The graph is increasing overall and the price
of petroleum generally increases over the years. The relationship passes the
vertical line test, so it is a function.
The function is not linear because there is no consistent
rate of change in between the intervals. In some years the price decreases and
then increases again, but there is no constant rate of change.
It is not a mathematical model because there are the same
output values (price) for different input values (year).
Part b:
This relationship is between
the number of years before 2013 (starting at 400,000 years ago), and the Carbon
Dioxide levels in parts per million. This graph simply plots the levels of CO2
with the years ago.
This is not a function
because there is no unique output for every input. The number of years ago and
the levels of CO2 are not related in any way and is not increasing or
decreasing in a pattern. There is no constant slope.
hi, lian,
ReplyDeleteyour first example is good and relevant for our day and age. your explanations are clear, however, it would have been nice to see ROC calculations to confirm your explanation about linearity. additionally, you forgot to use function notation. but otherwise, nice job.
your second example does not qualify as a non function. it passes the vertical line test and has one output per input.
professor little
Your first example is really good! You are correct in saying that it is a function since it passes the vertical line test.
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