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Describing FunctionsThere are many ways to describe or write functions. The method used depends on many factors such as the domain of the function, the complexity of the function or even the subject matter in which the function arises. We describe a few common methods here.
(1) If the domain is small we might just list all function values. Let and . If I tell you that f(1)=b, f(2)=b and f(3)=d then I have completely defined a function . Observe that this f neither 1-1 nor onto and has range , a proper subset of Y.
(2) We could list all pairs in the graph of f, again if the domain is small. The function in (1) could be given by .
(3) Quite often simple functions like the example in (1) are indicated by just listing the elements of both the domain and codomain and connecting x values to function values by arrows. Here's how that's done.
(4) For numerical functions, a formula might be given in terms of x that calculates the value of f(x). For X=Y=R the set of real numbers, would define . Since , the point (2,7) would be a point in the graph but there certainly are too many points to list as in (2).
(5) A picture of the graph in (4) would be a good way to visually represent f instead of just supplying the formula. The picture is simple a plot of the points (x,y) in the plane that satisfy the equation .
(6) It is sometimes possible to describe a function in words without resorting to lists, formulas or pictures. For example, the air temperature where you are sitting right now can be considered a function of time. That is, to each point in time we associate the corresponding temperature at that time. The domain consists of whatever scale is used to record time (12 or 24 hr. clock, minutes or fractions of hours, etc.) and the range is a subset of the real numbers (whatever temperature scale is used). This is a function by definition, yet you probably don't have a formula for this correspondence (well, unless the temperature is constant where you are).
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What are the ways in describing a set?
a.Roster Method:By listing ex:A={1,3,5,7} b.Rule Method:By describing/defining ex:A={the first odd numbers}
What are two ways to determine whether a relation is a function?
Two ways to determine whether the relation is a function is use a mapping diagram or use a vertical line test.
What are 4 ways to represent a function?
Input/output table, description in words, Equation, or some type of graph
What are the two ways of describing a set?
There are two ways of describing, or specifying the members of, a set. One way is by intensional definition, using a rule or semantic description. See this example: A is the set whose members are the first four positive integers. B is the set of colors of the French flag. The second way is by extension, that is, listing each member of the set. An extensional definition is notated by enclosing the list of members in braces: C = {4, 2, 1, 3} D = {blue, white, red}
What is the difference between quadratic function and quadratic formula?
A quadratic function is a function where a variable is raised to the second degree (2). Examples would be x2, or for more complexity, 2x2+4x+16. The quadratic formula is a way of finding the roots of a quadratic function, or where the parabola crosses the x-axis. There are many ways of finding roots, but the quadratic formula will always work for any quadratic function. In the form ax2+bx+c, the Quadratic Formula looks like this: x=-b±√b2-4ac _________ 2a The plus-minus means that there can 2 solutions.
What are the ways in describing a function?
A formula or graph are two ways to describe a math function. How a math function is described depends on the domain of the function or the complexity of the function.
What are the diff ways of describing a relation in math?
different ways in describing relation in math?
Methods of describing function?
discriving function
What is the rule of the function given?
A rule is a way of describing a function in words. Conversly, a function is simply a way of describing mathematical rules in numbers and symbols.
What are the 3 ways of describing a set?
AuB'
Is total and sum the same thing in Excel?
SUM is the name of an actual function. It totals up values. So they are the same thing. There is no function called total in Excel, but it is a general term we use in describing what the SUM function can do.SUM is the name of an actual function. It totals up values. So they are the same thing. There is no function called total in Excel, but it is a general term we use in describing what the SUM function can do.SUM is the name of an actual function. It totals up values. So they are the same thing. There is no function called total in Excel, but it is a general term we use in describing what the SUM function can do.SUM is the name of an actual function. It totals up values. So they are the same thing. There is no function called total in Excel, but it is a general term we use in describing what the SUM function can do.SUM is the name of an actual function. It totals up values. So they are the same thing. There is no function called total in Excel, but it is a general term we use in describing what the SUM function can do.SUM is the name of an actual function. It totals up values. So they are the same thing. There is no function called total in Excel, but it is a general term we use in describing what the SUM function can do.SUM is the name of an actual function. It totals up values. So they are the same thing. There is no function called total in Excel, but it is a general term we use in describing what the SUM function can do.SUM is the name of an actual function. It totals up values. So they are the same thing. There is no function called total in Excel, but it is a general term we use in describing what the SUM function can do.SUM is the name of an actual function. It totals up values. So they are the same thing. There is no function called total in Excel, but it is a general term we use in describing what the SUM function can do.SUM is the name of an actual function. It totals up values. So they are the same thing. There is no function called total in Excel, but it is a general term we use in describing what the SUM function can do.SUM is the name of an actual function. It totals up values. So they are the same thing. There is no function called total in Excel, but it is a general term we use in describing what the SUM function can do.
What has the author C E Frostell written?
C. E. Frostell has written: 'A comparison of pilot describing function measurement techniques' -- subject(s): Describing function, Pilot performance
What is the function for the earth's orbit around the sun?
The function describing earth's orbit round the sun is that for an ellipse.
What are the six ways of describing a shape?
look in Hannah montana's batty!
Building a dynamic organization is another way of describing which function of management?
leading
How is instantaneous speed calculated?
It is calculated as the derivative of the function describing the location of the object.
What is the part of speech for refreshing?
"Refreshing" can function as an adjective, describing something that is invigorating or revitalizing.
