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∙ 11y ago
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What inverse relation means?
Two variables, X and Y, are in inverse relation if X*Y = a constant.
What are function and relation?
A function is an equation that gives a unique answer. A relation does not. Example: y = 3x + 1 is a function. If I give you x, you can determine y. And that y is unique to that x. So if x = 1, you know y = 4. No other of x gives y = 4 as an answer. So y = 3x + 1 is a function. Example: y = 4x2. So if I give you x = 1, y = 4. But y = 4 if I also give you x = -1. So y = 4x2 is not a function, it is a relation.
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 the properties of the ''less than or equal to'' relation?
The relation ''less than or equal to," written as ≤, has the following three properties on the set of real numbers, R:1) x ≤ x for any x Є R2) If x ≤ y and y ≤ x then x = y for any x, y Є R3) If x ≤ y and y ≤ z then x ≤ z for any x, y, z Є RSee the corresponding related links for basic set theory and the definition of a relation.Also, this relation is an example of a partial ordering relation, see the corresponding related link for more information.
What is the range of the relation y equals to absolute value of x to 4?
y=|x|/4 The range is [0 , ∞ )
What inverse relation means?
Two variables, X and Y, are in inverse relation if X*Y = a constant.
What are function and relation?
A function is an equation that gives a unique answer. A relation does not. Example: y = 3x + 1 is a function. If I give you x, you can determine y. And that y is unique to that x. So if x = 1, you know y = 4. No other of x gives y = 4 as an answer. So y = 3x + 1 is a function. Example: y = 4x2. So if I give you x = 1, y = 4. But y = 4 if I also give you x = -1. So y = 4x2 is not a function, it is a relation.
How do you tell if a set has aTransitive relation?
iff (x,y)belongs to R and (y,x)belongs to R then x=y
Is the domain the x or the y axis?
The domain of a relation is the X axis.
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 is used to show relationship between two variable?
In mathematics? This is what's called a relation. For example, the relation y=4x shows that for any given x value, the value of y is four times as great. If y is equal to 8 and the relationship between y and x can be shown by the relation y is equal to four times x, x must equal 8 divided by four. Eight divided by four is 2, therefore x is equal to 2. If x is equal to 6 and the relation ship between y and x can be shown by the relation y is equal to four times x, y must equal 6 multiplied by four. Six multiplied by four is 24, therefor y is equal to 24.
If X divided by y equals 420 what is x and y?
You would need one more equation relation x and y to solve for both of them.
What are the properties of the ''less than or equal to'' relation?
The relation ''less than or equal to," written as ≤, has the following three properties on the set of real numbers, R:1) x ≤ x for any x Є R2) If x ≤ y and y ≤ x then x = y for any x, y Є R3) If x ≤ y and y ≤ z then x ≤ z for any x, y, z Є RSee the corresponding related links for basic set theory and the definition of a relation.Also, this relation is an example of a partial ordering relation, see the corresponding related link for more information.
What is an inverse relationship between x and y?
That depends on the original relation. For any relation y = f(x) the domain is all acceptable values of x and the range, y, is all answers of the function. The inverse relation would take all y values of the original function, what was the range, and these become the domain for the inverse, these must produce answers which are a new range for this inverse, which must match the original domain. IE: the domain becomes the range and the range becomes the domain. Ex: y = x2 is the original relation the inverse is y = =/- square root x Rules to find the inverse are simple substitute x = y and y = x in the original and solve for the new y. The notation is the original relation if y = f(x) but the inverse is denoted as y = f -1(x), (the -1 is not used as an exponent, but is read as the word inverse)
What are nonlinear relationships?
The relation between two variables, x and y, is linear if the expression can be expressed in the form of y = ax + b, where a and b are constants. Any higher order terms will render the relation non-linear. For example, y = x^2 y = sqrt (x) So are the following: y = log (x) y = exp (x) You get the idea.
What is the range of the relation y equals to absolute value of x to 4?
y=|x|/4 The range is [0 , ∞ )
Is Inequality an equivalence relation?
No. It is not transitive. x ≠y and y ≠z does not imply that x ≠z
