Question

What are the domain and range of the piecewise function below?a.domain: all real numbers except x = 0, x = 2, and x = 6range: all real numbersb.domain: all real numbers except x = 0, x = 2, and x = 6range: all real numbers except y = 0c.domain: all real numbers except x = 6range: all real numbersd.domain: all real numbers except x = 6range: all real numbers except y = 0

Answer 1

To determine the domain of the given function, remember that blank points mean that there is no value of the function for such a points.

Then, you can notice that there are values of the function from all negative numbers to x = 6. This value does not make part of the domain because there is no available value of the function there.

Moreover, you can notice that there are avilable values of the function for all numbers greater than 6.

Hence, the domain of the function is:

all real numbers except x = 6

As you can notice, the there are positive and negative values of the function.