# Question #4cbca

##### 2 Answers

Please see the explanation section below.

#### Explanation:

Note that

Consider

**Case 1:**

If

**Case 2**

If

So

Apply the Intermediate Value Theorem.

.

**NOTE: If we do not have #f# is continuous**, then the result fails for

By definition, the period T > 0 of a periodic function is such that f(x+T) = f(x) and T is the least possible such value.

#### Explanation:

Here, the period is

By definition, the period T > 0 of a periodic function is such that

f(x+T) = f(x) and T is the least possible such value.