# What is the domain and range of #y= (-2^-x) - 4#?

##### 1 Answer

**Domain** is

Using **Interval Notations** we can write our **domain** as

**Range:**

**Interval Notations**

#### Explanation:

We have the function

This function can be written as

Please analyze the graph given below:

**Domain:**

The **domain** of a function f(x) is the set of all values for which the function is defined.

We observe that the function **does not have any undefined points**.

The function **does not have any domain constraints** either.

Hence, **domain** is

Using **Interval Notation** we can write our **domain** as

**Range:**

The **range** of the function is the set of all values that

From our graph, we observe that the *range** is

Using **Interval Notations** we can write our **range** as

**Additional note:**

It is useful to remember that the **range** of the function is same as **the domain of the inverse function**.