nightshade said:1. what is the domain of the function k(y)=1/(2y+1)? Express your answer in interval notation
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3. I find that 0.5 is a possibility in this function, but since i have not done functions at school, i do not really know much more of this question.
Good question! You can't solve a problem about the "domain" if you don't know what that word means. Did you consider looking the word up in your textbook?nightshade said:So what really is meant by the domain? Is it asking for all possible values of y?
The domain of a function is the set of all possible input values (or independent variables) for which the function is defined. It is the range of values that can be substituted into the function to produce a valid output.
In interval notation, the domain of a function is represented by using parentheses or brackets to show the range of input values. For example, if a function is defined for all real numbers except for -2 and 5, the domain can be written as (-∞, -2) U (-2, 5) U (5, ∞).
Yes, the domain of a function can be infinite. This means that there is no upper or lower bound on the input values that the function can take. An example of a function with an infinite domain is f(x) = 1/x, which is defined for all real numbers except for 0.
To determine the domain of a function from its graph, you need to look at the x-coordinates of the points on the graph. The domain will be all the possible x-values that correspond to points on the graph. If the graph continues indefinitely in either direction, the domain will be infinite.
Understanding the domain of a function is important because it tells us the limitations of the function. It helps us determine the set of input values that will produce valid outputs and avoid any undefined or infinite values. This is especially important when using functions in real-world applications, as we need to ensure that the input values are within the domain of the function.