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Negative coefficient, odd degree.

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Positive coefficient, odd degree.

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Negative coefficient, even degree.

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Positive coefficient, even degree.

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If the polynomial is a function with terms that have varying degrees, the highest degree is defaulted to.

If the degree is even, and the coefficient is positive, then the graph will have both ends rising upwards, like in the graph of f(x)=x^2.

If the degree is even, and the coefficient is negative, then the graph will have both ends falling downwards, like in the graph of f(x)=-x^2, because the graph is reflected over the x axis.

If the degree is odd, and the coefficient is positive, then the graph will have the left end falling to negative infinity, and the right end rising to infinity, like in the graph of f(x)=x.

If the degree is odd, and the coefficient is negative, then the graph will have the left end rising, and the right end falling, like in the graph of f(x)=-x, because the graph is reflected over the x axis.

# data[].attributes.body
- The degree of each term in a polynomial has to be a whole number greater than 0.
- The graph of the function has to be smooth (no sharp edges), continuous (domain has to be all real numbers).
- Being continuous means no asymtopes in the graph.
- The equation of a polynomial function cannot have an absolute value (sharp edges), cannot have variables in a denominator (asymtopes, domain will not be all real numbers).
- We can predict the end behavior (if the graph falls or rises infinitely on each side).
- When 2 is added to the degree, the graph gets wider. This is true with even or odd degrees.