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    given that the domain of each function is 0 equal or smaller than x equal or smaller than 6 for x belongs to R, how to find the range of:

    a) f(x)=12/x+2

    b) g(x)=(x-2)^2


    any help would be appreciated!
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    (Original post by jianwen)
    given that the domain of each function is 0 equal or smaller than x equal or smaller than 6 for x belongs to R, how to find the range of:

    a) f(x)=12/x+2

    b) g(x)=(x-2)^2


    any help would be appreciated!

    Think about what a sketch of the function would look like for the domain (the values of x given) - the range is the values on the 'y' axis.
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    (Original post by jianwen)
    given that the domain of each function is 0 equal or smaller than x equal or smaller than 6 for x belongs to R, how to find the range of:

    a) f(x)=12/x+2

    b) g(x)=(x-2)^2


    any help would be appreciated!
    The range is like 'okay, the output will always be bigger than this number... or smaller than this number... or both'.

    It often helps to draw the graph and or test the limits of the domain.
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    (Original post by jianwen)
    given that the domain of each function is 0 equal or smaller than x equal or smaller than 6 for x belongs to R, how to find the range of:

    a) f(x)=12/x+2

    b) g(x)=(x-2)^2


    any help would be appreciated!
    Well, the range is basically the set of values that the function spits out once you feed every number from the domain into it.

    For (a) if you were to feed the function the set 0 \leq x \leq 6 into the function, what set of numbers would the function spit out?

    Same goes for (b).

    MAJOR HINT:
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    (a) f(x) is a decreasing function over its domain. The value of its endpoints are f(0) = \frac{12}{2} = 6 and f(6) = \frac{12}{8} = \frac{3}{2}
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    When trying to find the range, always sketch the graph. Look above and below and notice the y-values. That's your range. Don't know if this was helpful lol I'm doing this chapter as well
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    y value is the range and x is the domain (I used to remember it as x the man aka xdomain) . So you sub in x into those equation to find range.
 
 
 

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