# How do you use the (analysis) definition of continuity to prove the following function #f(x) = 3x +5# is continuous for all x in R?

##### 1 Answer

Mar 5, 2016

#### Answer:

We will use the Epsilon-Delta definition of continuity for

#### Explanation:

**Epsilon-Delta definition of continuity on all #x_0 in RR# :**

So we must find

Therefore,

Notice that our