The table shows ordered pairs for a polynomial function, f
х f(x)
-3 63
--2 8
-1 - 1
0 0
1 -1
2 8
3 63
What is the degree of f?
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You didn't show the Ordered Pairs so there is no way this question could be answered.
Relationship can also be represented by a set of ordered pairs called a function.
The function in algebra of ordered pairs is function notation. For example, it would be written out like: f(x)=3x/4 if you wanted to know three fourths of a number.
Sort of... but not entirely. Assuming the polynomial's coefficients are real, the polynomial either has as many real roots as its degree, or an even number less. Thus, a polynomial of degree 4 can have 4, 2, or 0 real roots; while a polynomial of degree 5 has either 5, 3, or 1 real roots. So, polynomial of odd degree (with real coefficients) will always have at least one real root. For a polynomial of even degree, this is not guaranteed. (In case you are interested about the reason for the rule stated above: this is related to the fact that any complex roots in such a polynomial occur in conjugate pairs; for example: if 5 + 2i is a root, then 5 - 2i is also a root.)
If there are any pairs with the same second element but different first elements, then it is not a function. Otherwise it is.