polynomial functions polynomials are the building blocks of algebraic modeling…
TRANSCRIPT
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Polynomial Functions
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Polynomials are the building blocks of
Algebraic Modeling…
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Lego is used to build cool models
Polynomials are used to build math models (also cool…)
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Linear models have some value, but they are very basic…(y=mx + b)
Curves are very complex, and have unlimited potential for applications..
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Curves
Found in the designs of bridges, buildings, vehicles, furniture, containers, jewelery, games, food, clothes, amusement parks, golf courses, art…
Careers as engineering, achitecture, graphics design, interior design, landscaping…
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Sooooo….where do we start?How do we proceed?..
• Function notation and simple mechanics
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A reminder of a Function… A function is a relationship between a set
of inputs and a set of permissible outputs with the property that each input is related to exactly one output.
YES! NO!
Also, a function must pass the vertical line test.
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Notation:
y = x2 + 3x + 7
“This is a function that is built using the variable x….”
“ f of x ”
f(x) = x2 + 3x + 7
This form is better for us when we operate
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One of the most important uses of a model is that it can tell us
the value of the output at a specific input….
Think pay…
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Given f(x) = 4x2 + 7x + 2, find f(5)
f(5) = 4(5)2 + 7(5) + 2
= 4(25) + 7(5) + 2
= 100 + 35 + 2
= 137