Question

Find the domain and range of y = f(x) whose graph is given below.

Answer 1

Remember that

The domain of a function is the set of all possible values of x.

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

so

The domain is the interval

(0,4]

All real numbers greater than zero and less than or equal to 4

`0The range is the interval<p>[-4,-3]</p><p>All real numbers greater than or equal to -4 and less than or equal to 3</p>[tex]-4\leq y\leq-3`