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What do you know about a function that is made up of ordered pairs in such a way that the same y-value appears in a correspondence with two different x-values?
For example, y = ax2 + bx + c (the equation of a parabola).
Every parabola has an axis of symmetry and the graph to either side of the axis of symmetry is a mirror image of the other side. It means that if we know a point on one side of the parabola, we can find its symmetric point to the other side, based on the axis of symmetry. Those symmetric points have opposite x-coordinate values, and the same y-coordinate value. The vertex only is a single point which lies on the axis of symmetry.
What else can I help you with?
Does every ordered pair in a table of values can come from a different function?
No
What is a function as ordered pairs?
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.
How do you know when an ordered pair could not be in a function?
Evaluate the function at the first number in the pair. If the answer is not equal to the second value, then the ordered pair cannot be in the function.
Why would removing this ordered pair make the relation a function?
Removing the ordered pair would ensure that each input (or "x" value) in the relation corresponds to exactly one output (or "y" value). A function is defined as a relation where no two ordered pairs have the same first component with different second components. Therefore, eliminating the pair that violates this condition would make the relation a valid function.
How do you write a function with 3 sets of ordered pairs?
To write a function with three sets of ordered pairs, ensure that each input (the first element of the pairs) is unique and corresponds to exactly one output (the second element). For example, you can define a function as ( f(x) = {(1, 2), (3, 4), (5, 6)} ), where ( f(1) = 2 ), ( f(3) = 4 ), and ( f(5) = 6 ). Each ordered pair represents a mapping from an input to its respective output. Make sure that no input appears more than once in the set to maintain the definition of a function.
When is function a relation?
A relation is when the domain in the ordered pair (x) is different from the domain in all other ordered pairs. The range (y) can be the same and it still be a function.
Does every ordered pair in a table of values can come from a different function?
No
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.
What Every ordered pair in a table of values can come from a different function. True False?
true
What is a function as ordered pairs?
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.
How do you know when an ordered pair could not be in a function?
Evaluate the function at the first number in the pair. If the answer is not equal to the second value, then the ordered pair cannot be in the function.
If a set of ordered pairs is not a relation can the set still be a function?
If a set of ordered pairs is not a relation, the set can still be a function.
Why would removing this ordered pair make the relation a function?
Removing the ordered pair would ensure that each input (or "x" value) in the relation corresponds to exactly one output (or "y" value). A function is defined as a relation where no two ordered pairs have the same first component with different second components. Therefore, eliminating the pair that violates this condition would make the relation a valid 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.
How do you determine if you are given a set of ordered pairs that represent a function?
A relation is a set of ordered pairs.A function is a relation such that for each element there is one and only one second element.Example:{(1, 2), (4, 3), (6, 1), (5, 2)}This is a function because every ordered pair has a different first element.Example:{(1, 2), (5, 6), (7, 2), (1, 3)}This is a relation but not a function because when the first element is 1, the second element can be either 2 or 3.
How do you write a function with 3 sets of ordered pairs?
To write a function with three sets of ordered pairs, ensure that each input (the first element of the pairs) is unique and corresponds to exactly one output (the second element). For example, you can define a function as ( f(x) = {(1, 2), (3, 4), (5, 6)} ), where ( f(1) = 2 ), ( f(3) = 4 ), and ( f(5) = 6 ). Each ordered pair represents a mapping from an input to its respective output. Make sure that no input appears more than once in the set to maintain the definition of a function.
Who Every ordered pair in a table of values can come from a different function. True False?
True, it can, but that would make the table pretty much useless.
