Let (f(x) = \begin{cases} x+2 & for\ x\lt\ 1 \\\... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

Let $f(x) = \begin{cases} x+2 & for\ x\lt\ 1 \\\ 4x-1 & for\ 1\leq x \leq3 \\\ x^2+5 & for\ x\gt3 \end{cases}$ . Then

A

f(x) is not continuous at x=-1

B

f(x) is continuous at x=1

C

f(x) is continuous at x=3

D

f(x) is not continuous at x=5

E

f(x) is not continuous at x=2

Answer

f(x) is continuous at x=1

Explanation

Solution

The correct option is (B) : f(x) is continuous at x = 1