Which mixed number is equivalent to the improper fraction 37/9
2 answers:
<u>Answer:</u>
<u>Step-by-step-explantion:</u>
Here, we are given an improper fraction so we will divide 37 by 9 and write it as a mixed number.
To divide 37 by 9, we will look for the greatest common factor for both the numerator and the denominator.
4 is the greatest common factor that can divide the given fraction and gives us a quotient of 4 and a remainder of 1.
Therefore, we can write the mixed number as .
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The domain is the set of all point where you can evaluate the function.
As you can see, the first piece is defined from -infinity to 2 (included).
The second piece is defined from 2 to 6 (excluded).
The third piece is defined from 6 (excluded) to +infinity.
So, the domain of the function is composed by all the real numbers which are not 6:
As for the range, it is the set of all values taken by the function. We can see that the first piece spans the y axis from 0 to infinity.
The second piece is constantly equal to 2, so it adds nothing.
The third piece spans the y axis from -2 to -infinity, so the range is