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Well, It's been a while since I was in Calc, but basicly for the domain, what values of X would make the equation invalid. Since 4-x is under the root/ratical, then 4-x must be greater than 0 or else you end up with an imaginary answer and that's not good. So pretty much, you just have to solve the equation 4-x ( > or equal to) 0. When you solve that you'll get 4 (> or equal to) x. So you end up with a domain of
Dx= (-Infinity , 4]. which basicly says that all values from negative infinity to 4 work as a value of x and is the domain
As far as range is concerned, i don't remember how to find it the technical way, but basicly, for a negative root problem, the range is always
Ry= (-Infinity , Y value of the vertex (in this case 0 since the vertex is on the x axis 4,0)]
I hope that helped but I have a feeling I did a terrible job of explaining. Good luck with your class!
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What is the difference between the domain and the range?
Domain is the x-axis and range is the y-axisThe domain is all the x-values that a function that take on, and the range is all the y-values that it can be. For instance, if you were given a set of coordinates such as {(2,3), (4,1), and (-9,5)}, you domain would be (-9, 2, 3) for the x-values, and your range would be (1,3,5) for the y-values. If you have to find domain and range for a function, domain typically being found first, you must think of all the possible x-values that could satisfy that equation. If there is a square root, you must ensure that the values do not make that section of the equation negative, and in other cases you must make sure you do not divide by zero. You can then find the range by making a graph or a chart.Domain is/are the value(s) which go under a rule (function of x) and the range is/are the value(s) you get out.
How do you find the domain and range of a hyperbola?
the domain is when the denominator of the problem is set to zero... but i am not sure how to find the range
If a function is defined by an equation explain how to find its domain.?
The set of all values of x, for which the equation is true is the domain of the function defined by that equation.
Find the domain and range of sinx?
the domain is all real numbers the range is from -1 to +1
How do you find the domain if you are given the range?
Use the function to find the image of each point in the domain. The set of values that you get will be the range. If the function is well behaved, you will not have to try each and every value in the domain.
