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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 , ∞ )
