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A Function. That is the definition of a function.
I like to think of a function, f(x) as a number crunching machine. the number crunching machine eats different x 's. It eats each and every x and crunches it the same way, but spits out a new Y every time. Remember, y = f(x). That is, "y is a function of x".
There you go.
What else can I help you with?
What is a relation in which each x-value has one and only one y-value?
It is a surjective relationship. It may or may not be injective, and therefore, bijective.
What is the relatio when each x value has only one y value?
When each x value has only one y value, the relation is classified as a function. In a function, for every input (x), there is a unique output (y), ensuring that no x value is paired with multiple y values. This characteristic is crucial for determining the validity of a mathematical function, making it predictable and consistent.
What is A set of ordered pairs obtained by exchanging the x-coordinates with the y-coordinates of each ordered pair of a relation or function?
A set of ordered pairs obtained by exchanging the x-coordinates with the y-coordinates of each ordered pair in a relation or function is called the "inverse relation." For example, if the original relation consists of pairs (x, y), the inverse relation will consist of pairs (y, x). This transformation can reveal different properties of the relation, such as whether it is one-to-one or onto in the context of functions.
What inverse relation means?
Two variables, X and Y, are in inverse relation if X*Y = a constant.
Is the relation (-1 4) (2 7) (37) a function?
Yes, there is only one y value for each x value.
A relation where there is only one y-value for every x-value?
A function
A relation where each x value has only one y value?
the answer is FUNCTION thank you kian
What is a relation in which each x-value has one and only one y-value?
It is a surjective relationship. It may or may not be injective, and therefore, bijective.
What is the relatio when each x value has only one y value?
When each x value has only one y value, the relation is classified as a function. In a function, for every input (x), there is a unique output (y), ensuring that no x value is paired with multiple y values. This characteristic is crucial for determining the validity of a mathematical function, making it predictable and consistent.
What is A set of ordered pairs obtained by exchanging the x-coordinates with the y-coordinates of each ordered pair of a relation or function?
A set of ordered pairs obtained by exchanging the x-coordinates with the y-coordinates of each ordered pair in a relation or function is called the "inverse relation." For example, if the original relation consists of pairs (x, y), the inverse relation will consist of pairs (y, x). This transformation can reveal different properties of the relation, such as whether it is one-to-one or onto in the context of functions.
What inverse relation means?
Two variables, X and Y, are in inverse relation if X*Y = a constant.
How do you identify if the given equation is function or not?
A function is an equation (a relation) which has only one y-value for every x-value. If a single x-value has more than one y-value, the equation is no longer called a function.
Is the relation (-1 4) (2 7) (37) a function?
Yes, there is only one y value for each x value.
What is it called if any vertical line crosses the graph of a relation more than once the relation is not a function?
The Vertical Line Test An example might be x=cos(y). At any value of x between -1 a nd +1 (a vertical line on the graph) this is multivalued (and so it is called "multivalued"). The relation is a function, because given y you can calculate x. x is a function of y. The relation between y and x can also be written y=cos-1(x) "y is the angle whose cosine is x". From that point of view you can say " y is not a function of x" because for each x, there is more than one y that satisfyies the equation. To summarize, in this example x is a function of y but y is not a function of x.
What are different shapes of functions and relations?
A relation is just a set of ordered pairs. They are in no special order. Therefore there is no particular shape assigned to a relation. A function is a special kind of relation. A relation becomes a function when the x value only has one y value.
When is a relation considered to be function?
A relation is a function when an x value only has one y value associated with it. An easy way to tell this is to graph the relation, then draw a vertical line through it. If, at any point, it touches the graph twice, the relation isn't a function.
When is a relation also a function?
A relation is also a function if each member of the domain (or x-coordinate) is paired with only one member of the range (or y-coordinate). If the relation is a set of ordered pairs that consists of real numbers a graph can be created to visualize the relation. If a vertical line can be drawn and only crosses or intersects the graph at one point then the relation is also a function.
