Q46
Which one of the following functions is continuous at x = 3?
A.
{\text{f}}\left( {\text{x}} \right) = \left\{ {\begin{array}{*{20}{c}}
{2,}&{{\text{if}}}&{{\text{x}} = 3} \\
{{\text{x}} - 1,}&{{\text{if}}}&{{\text{x}} > 3} \\
{\frac{{{\text{x}} + 3}}{3},}&{{\text{if}}}&{{\text{x}} < 3}
\end{array}} \right.
AnswerB.
{\text{f}}\left( {\text{x}} \right) = \left\{ {\begin{array}{*{20}{c}}
{4,}&{{\text{if}}}&{{\text{x}} = 3} \\
{8 - {\text{x,}}}&{{\text{if}}}&{{\text{x}} \ne 3}
\end{array}} \right.
C.
{\text{f}}\left( {\text{x}} \right) = \left\{ {\begin{array}{*{20}{c}}
{{\text{x}} + 3,}&{{\text{if}}}&{{\text{x}} \leqslant 3} \\
{{\text{x}} - 4,}&{{\text{if}}}&{{\text{x}} > 3}
\end{array}} \right.
D.
Answer: Option A
Solution
Answer: Option A
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