# How do you find the average rate of change of #f(x)=-3x^2+2# between [-2,0]?

##### 1 Answer

Oct 20, 2015

6

#### Explanation:

Summery:

1. Derive equation for rate of change

```
2. By substitution of the values of x at the two points under
investigation determining the actual rate of change at
those point.
3. Apply the standard method of determining the mean. In this
case it will be
```

```
Note that rate of change is from left to right on the graph. This is
important!
```

Solution:

Assumption: your given

Brackets facing outwards represents "exclusive".

Let

Let

Given that

The rate of change is:

At

At

So the mean rate of change is