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Question

Mathematics Question on Continuity and differentiability

Let f(x)={3x+6,if xc x23x1,if x<cf(x) = \begin{cases} 3x+6, & if\ x\geq c \\\ x^2-3x-1, & if\ x\lt c \end{cases}, where x∈R and c is a constant. The values of c for which f is continuous on R are

A

-7, 1

B

1, 3

C

-1, 7

D

-1, 6

E

2, -3

Answer

-1, 7

Explanation

Solution

The correct option is (C) : 1, 7