# How do you determine the intervals for which the function is increasing or decreasing given #f(x)=(x+3)^2-4#?

##### 1 Answer

Jan 26, 2018

#### Answer:

Since the second derivative is greater than **0** (positive), **-3 is a local Minimum**

#### Explanation:

**Second Derivative Test**

When a function's slope is zero at x, and the second derivative at x is:

less than 0, it is a local maximum

greater than 0, it is a local minimum

Equating to **0**, we get, color(red)(x = -3)#

Second Derivative Test :

Since the second derivative is greater than **0** (positive), **-3 is a local Minimum**