B

9000142004

Level: 
B
Identify a correct statement related to the function $f$ shown in the picture.
concave up on \((-\infty ,1)\), concave down on \((1,\infty )\), no inflection
concave up on \((-\infty ,1)\), concave down on \((1,\infty )\), inflection at \(x = 1\)
concave up on \((1,\infty )\), concave down on \((-\infty ,1)\), inflection at \(x = 1\)
concave up on \((1,\infty )\), concave down on \((-\infty ,1)\), no inflection

9000142005

Level: 
B
Identify a correct statement related to the function $f$ shown in the picture.
concave up on \((-1,0)\) and \((1,\infty )\), concave down on \((-\infty ,-1)\) and \((0,1)\), inflection at \(x_{1} = -1\), \(x_{2} = 0\) and \(x_{3} = 1\)
concave up on \((-1,0)\cup (1,\infty )\), concave down on \((-\infty ,-1)\cup (0,1)\), inflection at \(x_{1} = -1\), \(x_{2} = 0\) and \(x_{3} = 1\)
concave up on \((-\infty ,-1)\) and \((0,1)\), concave down on \((-1,0)\) and \((1,\infty )\), inflection at \(x_{1} = -1\), \(x_{2} = 0\) and \(x_{3} = 1\)
concave up on \((-\infty ,-1)\cup (0,1)\), concave down on \((-1,0)\cup (1,\infty )\), inflection at \(x_{1} = -1\), \(x_{2} = 0\) and \(x_{3} = 1\)

9000142006

Level: 
B
Identify a correct statement related to the function $f$ shown in the picture.
concave up on \((-\infty ,0)\) and \((1,\infty )\), concave down on \((0,1)\), a unique inflection at \(x = 0\)
concave up on \((-\infty ,0)\) and \((1,\infty )\), concave down on \((0,1)\), inflection at \(x_{1} = 0\) and \(x_{2} = 1\)
concave up on \((-\infty ,0)\cup (1,\infty )\), concave down on \((0,1)\), a unique inflection at \(x = 0\)
concave up on \((0,1)\), concave down on \((-\infty ,0)\) and \((1,\infty )\), inflection at \(x_{1} = 0\) and \(x_{2} = 1\)