Classify polynomials through identification of degree and leading coefficient. Graph a polynomial function from a table of values; prove degree using successive differences.
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Graph each of the functions in your graphing calculator:
$${h(x)=x^2}$$
$${j(x)=x^3}$$
$${k(x)=x^4}$$
$${m(x)=x^5}$$
You’ll notice your calculator will look like this:
What do these functions have in common? How are they different?
$${f(x)=-\frac{1}{2}(x-2)^3}$$ | $${g(x)=\frac{1}{2}(x-2)^3}$$ |
What is the degree of each of the functions shown in tables? Use a graph of the coordinate points to approximate the shape.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Given the table of values below:
$$x$$ | $$y$$ |
-7 | -245 |
-4 | -74 |
-1 | -11 |
2 | -2 |
5 | 7 |
8 | 70 |
11 | 241 |