Answer Each Question Appropriately $y = f ( x )$ With the Following Properties:
I

Multiple Choice

Answer each question appropriately.
-Find a curve $y = f ( x )$ with the following properties:
i. $\frac { \mathrm { d } ^ { 2 } \mathrm { y } } { \mathrm { dx } } = 8 \mathrm { x }$
ii. The graph passes through the point $( 0,1 )$ and has a horizontal tangent at that point.

A) $y = 8 x + 1$
B) $y = \frac { 4 } { 3 } x ^ { 3 } + x + 1$
C) $y = 4 x ^ { 2 } + 1$
D) $y = \frac { 4 } { 3 } x ^ { 3 } + 1$