MTH:216T DISCUSSION 1
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University of Phoenix *
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Course
216
Subject
Mathematics
Date
Jan 9, 2024
Type
docx
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2
Uploaded by ChiefRose12674
We start this course by investigating a variety of different concepts related to functions and how they can be usedto represent everyday situations.
Functions are an important concept in mathematics. Sometimes people get the idea that functions are really complicated and have to involve x's and y's and formulas. That isn't really true. A function is a rule, it
often
involves computations, but it does not have to.
Any
rule that provides
a guaranteed result from any initial input is a function
.
If I give you an address and you locate the property, that is using a function. The input to the function is the address. The rule is to find the property using whatever means you would like, The output is what is found at the address. Whenever a starting value produces guaranteed result we have a function. Providing projected values for an investment over time is an example of a function.
A rule that assigns for each student sitting in a classroom the desk they are sitting in is a function. Each student has a desk and no student is sitting in more than one desk.
That rule
is a function that does not require computation.
Respond to one (or more) of the following prompts in a
minimum
of 175 words:
Give a different example of a function that does not require computation and explain why it is a function. My examples above include such examples and explanations.
My video for
the week gives you more examples.
Explain why a building directory posted beside the elevator of an office building might be considered a function. Can you
think of other similar examples?
Explain why the rule that provides the
residents
of a property based on the address is not a function. Be careful here. Locating the property is still a function, but now we
change the rule to reporting the people who live at that address, and it is no longer a function. Why would that be?
How do the concepts of linear and exponential growth fit into
the the general concept of a function? Give an example of a practical applications of each type of growth.
Linear functions grow at a constant rate of change, and the difference in y values increases or decreases at the same rate as the difference in
x values. Exponential functions grow at a percent change
. An example of exponential growth is the sale and uptake of smartphones. In Today’s world, everyone has a smartphone, kids, teens, and adults. The sales of smartphones are so rapid that it has been considered an exponential sale. An example of linear growth is saving $20 each week, every week, until you’re able to retire. Imagine how much money you would have at age 60 or 65? To solve this scenario, you can use a linear growth model.
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