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.
If a set of ordered pairs is not a relation, the set can still be a function.
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.)
A relation is defined as a set of ordered pairs. A function is a special kind of relation ...
A ordered pair is one of many ways in which a function may be defined. The function maps the element in the first position of an ordered pair to the second element in that pair.
In general you cannot. Any set of ordered pairs can be a graph, a table, a diagram or relation. Any set of ordered pairs that is one-to-one or many-to-one can be an equation, function.
If there are any pairs with the same second element but different first elements, then it is not a function. Otherwise it is.
The function table will have two columns, one for the x-value and one for the y-value. Form ordered pairs (x,y) by inserting the values from one row of the table.
Ordered pairs are used for many things. Anytime you graph a point on a cartesian coordinate system, you have an ordered pair. In fact, all of R^2 is made up of ordered pairs. When you put a value in a function and get one out, you have an ordered pair
x| -1 | 0 | 1 | 2 | 3 y| 6 | 5 | 4 | 3 | 2 what function includes all of the ordered pairs in the table ?