How do you find domain and range?
domain is the values of a funtion/relation which can be used "legally" in the equation being defined
range is the outputs that are a result of the domain
That didn't help??? Isn't there an equation?
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The domain of a function \(f(x)\) is the possible values for x that produce a value for \(f(x)\). The range of the function is all the possible values for \(f(x)\)
a function is often times defined as an equation; but as far as domain and range go, no there doesnt have to be a defined function at all
find the domain and range of the equation y=-2+(the square root) of x
for instance: f(x) = 1/x is defineing a function by an equation; and this equation is not defined for x=0 is it?
so the domain will be all numbers except for 0
the controling part of the equation that you have is "sqrt(x)"
\[f(x) = \cases{\begin{array}{ccc} 2 & \text{if} & x = 5\\ 7.3 & \text{if} & x = 27 \\ 8 & \text{if} & x \text{ is an even number. }\end{array}}\]
since sqrt(-#) is not defined on a "real" number line; we have to maintain all values of x that are equal to or greater than 0
(-infinity to 0) (0 to infinity)
The domain for the function I defined above will be {5, 27, all even numbers}. The range is {2,7.3, 8}
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