Name:_____________________ Student Number: _______

1. Which of the following functions is even, which is odd, which is neither even nor odd ? Justify your answers.

(a)

(b) 

(c) 

(a) and we see that . So, this is an odd function.

(b) , so this is an even function.

(c) and this is neither nor . So, is neither even nor odd.

2. Find the domain of the function and express it using interval notation.

We have: and and . This means that and and . So, the domain of the function is the union of the intervals and .

3. Evaluate the following limit or show it does not exist.

(a)

(b) 

(a) .

(b)

4. Suppose for all x. Find . Justify your argument.

By the Squeeze Theorem, we have . We find that and that . It follows that .