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What is the degree of f The table shows ordered pairs for a polynomial function, fх f(x)-3 63--2 8-1 - 10 01 -12 83 63?
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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What is a rule for the function identified by this set of ordered pairs?
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?
Relationship can also be represented by a set of ordered pairs called a function.
What is the function in algebra of ordered pairs?
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.
Is it true that the degree of polynomial function determine the number of real roots?
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.)
How you tell if set of ordered pairs a function?
If there are any pairs with the same second element but different first elements, then it is not a function. Otherwise it is.
