# How do you find the domain and range of #e^(-4t)#?

##### 1 Answer

Domain: All Reals

Range: Y>0

#### Explanation:

Start by finding the Domain (t values) and then use that information to solve for the Range (y values)

for

Look for things such as:

-Dividing by 0

-Taking a root of a negative number

-Taking the

Now the only issue is that the denominator cannot equal 0.

But

Therefore the Domain is all real numbers.

The Range would then be the results of all the values of

When t is really really big the equation gets closer and closer to 0.

When

So as

Therefore the range is all values greater than 0.

You can also see this graphically.

graph{e^(-4x) [-10, 10, -10,10]}