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Consider the following function : 1. f...

Consider the following function :
1. `f(x)=e^(x),"where "xgt0`
2. `g(x)=|x-3|`
Which of the above functions is/are continuous ?

A

1 only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

Text Solution

Verified by Experts

The correct Answer is:
C
`f(x)=e^(x),"where "xgt0`

According to graph,
Graph of `e^(x)` is not breaking when `xgt0`
Therefore, graph is continuous at `xgt0`
Statement II
`g(x)=|x-3|`

Graph of `|x-3|` is not breaking but have sharp turn at x=3
So, it is continuous
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