csat-suneung· South-Korea· csat__math-science4 marks
For a function $y = f ( x )$ defined on the closed interval $[ 0,5 ]$, define the function $g ( x )$ as $$g ( x ) = \begin{cases} \{ f ( x ) \} ^ { 2 } & ( 0 \leqq x \leqq 3 ) \\ ( f \circ f ) ( x ) & ( 3 < x \leqq 5 ) \end{cases}$$ Which of the following graphs of the function $y = f ( x )$ make the function $g ( x )$ continuous on the closed interval $[ 0,5 ]$? Select all that apply from . [4 points] ㄱ. [graph] ㄴ. [graph] ㄷ. [graph] (1) ㄱ (2) ㄴ (3) ㄷ (4) ㄱ, ㄴ (5) ㄴ, ㄷ
For a function $y = f ( x )$ defined on the closed interval $[ 0,5 ]$, define the function $g ( x )$ as
$$g ( x ) = \begin{cases} \{ f ( x ) \} ^ { 2 } & ( 0 \leqq x \leqq 3 ) \\ ( f \circ f ) ( x ) & ( 3 < x \leqq 5 ) \end{cases}$$
Which of the following graphs of the function $y = f ( x )$ make the function $g ( x )$ continuous on the closed interval $[ 0,5 ]$? Select all that apply from <Remarks>. [4 points]\\
<Remarks>\\
ㄱ. [graph]\\
ㄴ. [graph]\\
ㄷ. [graph]\\
(1) ㄱ\\
(2) ㄴ\\
(3) ㄷ\\
(4) ㄱ, ㄴ\\
(5) ㄴ, ㄷ