Determine which of the following is not true for the graph of $f ( x ) = x ^ { 3 } - 6 x ^ { 2 } + 9 x$
A)ƒ is continuous on $( - \infty , \infty )$
B)ƒ has a relative maximum at x = 1.
C)ƒ has a relative minimum at x = 3.
D)ƒ has a point of inflection at x = 2.
E)ƒ is concave downward on $( 2 , \infty ) .$

Question

Determine which of the following is not true for the graph of $f ( x ) = x ^ { 3 } - 6 x ^ { 2 } + 9 x$ 
A)ƒ is continuous on $( - \infty , \infty )$
B)ƒ has a relative maximum at x = 1.
C)ƒ has a relative minimum at x = 3.
D)ƒ has a point of inflection at x = 2.
E)ƒ is concave downward on $( 2 , \infty ) .$

Quizplus · Accepted Answer

The second derivative test shows that the function is concave upward on $(2, \infty)$, not concave downward.

Determine Which of the Following Is Not True for the Graph