SOLUTION: Use set-builder notation to identify the domain and range for function f.

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Question 1205544: Use set-builder notation to identify the domain and range for function f.
Found 2 solutions by greenestamps, math_tutor2020:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The function f is not shown in your post....


Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

You haven't posted a function, but I'll provide an example of domain in set-builder notation.

The function f%28x%29+=+1%2F%28x-2%29 has the domain since x = 2 leads to a division by zero error. Any other x value will work.

The notation shown above translates to "The domain is x such that x is a real number and x+%3C%3E+2"

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Another example:

f%28x%29+=+sqrt%28x-5%29 has the domain
If x = 5 or larger, then the stuff under the square root (aka radicand) is nonnegative.
If x < 5, then the radicand is negative, leading to f(x) outputs to be nonreal complex values.