Tuesday, January 18, 2011

Week 3 Blog Prompt

When you are finding the domain and range of a problem what is it telling you about the graph?

12 comments:

  1. This comment has been removed by the author.

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  2. DOMAIN AND RANGE:
    The set of all the starting points is called "the domain" and is what you start with. Domain consists of the x’s. The set of ending points is called “the range” and is what you end up with. Range is the y’s. Domain is points on the x-axis (left to right). Range is points on the y-axis (bottom to top). When listing the domain and range values, list them in numerical order. Domain and range can also clearly be seen from a graph.

    Here’s an example: (It's not letting me put an image, so I hope this site helps).
    http://www.regentsprep.org/Regents/math/algtrig/ATP5/DomainRange.htm
    In Example 1, you can clearly see the points - (3,5) (4,2) (6,-2) (1,5)
    3, 4, 6, 1 are all x points, therefore they are considered domain.
    5, 2, -2, 5 are all y ponts, therefore they are considered range.
    As stated above, you list domain and range in numerical order. So,
    Domain: {1, 3, 4, 6)
    Range: {-2, 2, 5)
    *Do not repeat values, only put it once.

    http://www.purplemath.com/modules/fcns2.htm

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  3. Domain and Range is something that is used for a graph of a function.

    The range is all possible output values usually on the y axis. (pretty much the end points on a graph)The website states that range values are most commonly real numbers.

    The domain is all possible input values usually on the x axis (the beginning)These are also alost always real numbers.

    When you are doing the listing for the values, you always want to make sure they are in numerical order because thats how it ends up on the graph.

    http://www.freemathhelp.com/domain-range.html
    This is the website where I got the information from, and if you look at it, it will show you examples of graphs explaining domain and range.

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  4. The DOMAIN of a function is a complete set of all numbers that are possible values of x. In other words,"The domain of a function is the set of all possible x values which will make the function 'work' and will output real y-values." Domain runs from left to right on a graph.

    Example:
    http://www.intmath.com/Functions-and-graphs/domain.gif

    The RANGE of a function is all the possible "y" values of a function. In other words, "The range of a function is the complete set of all possible resulting values of the dependent variable of a function, after we have substituted the values in the domain."

    For example: http://www.intmath.com/Functions-and-graphs/range.gif


    Also each graph for a function can be different. Some will be parabolas, some will be half a parabola, you will have v's and also diaganols. It all matters what type of problem you have.

    ( http://www.intmath.com/Functions-and-graphs/2a_Domain-and-range.php )

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  5. The domain and range of a graph can be found using various sets of rules for different types of equations ( polynomials, absolute values etc)The domain of a function is all the x values that the function can take on. It can be said that the domain is all the possible values for an x.
    http://www.analyzemath.com/DomainRange/DomainRange.html

    Similarly, the range of a function can be said as all the possible y values of a function.
    http://www.analyzemath.com/DomainRange/DomainRange.html

    all real numbers in domain and range begin with brackets. Parenthesis are placed around infinity's.

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  6. Let’s start with defining domain and range:
    Domain – the domain of a function is a set of all possible input values, which allows the function formula to work. The input values are usually represented with x and are located on the x-axis.
    Range – the range of a function is a set of all possible output values, which result from using the function formula. The output values are usually represented with y and are located on the y-axis.
    http://www.freemathhelp.com/domain-range.html
    When looking for the domain and range of functions you will follow a set of rules. We learned about 4 different types; polynomials, square roots, fractions, and absolute values. All four each have their own different rules and involve infinities. When drawing the graphs to determine if it is a function you use the horizontal and vertical line tests and if it touches more than twice it is not a function.
    Chapter 4 notes.

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  7. Domain: The domain of a function is the set of all possible input values (usually x), which allows the function formula to work.

    Range: The range is the set of all possible output values (usually y), which result from using the function formula.

    It's range is all real numbers because there is nothing that won't work. The graph extends forever in the x directions.


    When you have a function where y equals a constant (like y=3), your graph is a horizontal line. In that case, the range is just that one value. Otherwise, the range is all real numbers.


    http://www.freemathhelp.com/domain-range.html

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  8. ^^it didn't post any of my pictures :(

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  9. Domain: is possible input values from all the possible values that you can plug into for x

    Range: is possible output values from all the possible values that you can plug into for y

    Both of these are used to find function formulas and to tell weather it is a function or not.

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  10. The domain and range are used to find formulas and so you can tell whether or not it is a function.

    The domain is all numbers that are possible values of x. This is usually on the x axis.

    Range deals with the y's and the y axis. The range is a set of all possible output values, which result from using the function formula.

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  11. Domain & Range:

    We learned Domain & Range in Chapter 4 last week. First of all let understand what both of them mean and are.

    Domain- are the values of x's and the x-axis.

    Range- are the values of y's and the y-axis.

    Now we know what domain and range are we have to find out how to get a domain and range in a problem.

    There are four steps you have to follow in the process of finding your domain & range of any problems.

    The four steps are:

    -polynominals
    -square roots
    -fractions
    -absolute values

    all four have different characteristics and they all involve infinities.

    Example:
    Find Domain & Range:
    (-3,5),(-2,5),(-1,5),(0,5),(1,5),(2,5)
    We already know y is understood as range and x is understood as domain
    Domain:{-3,-2,-1,0,1,2}
    Range:{5}

    http://www.purplemath.com/modules/fcns2.htm

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  12. The domain and range tell you how your graph will look, where your line will go, how far up or down, or left or right your line will go.

    If your range is infinite that means that your line will never stop going up.
    If your domain is infinite that means that your line will never stop going right.

    There are four different types of problems:

    1)Polynomials
    2)Absolue Values
    3)Fractions
    4)Square roots

    Ex.
    http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut31_graphfun1.htm

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