Analyze and sketch the graph of the function. Identify any intercepts, relative extrema, points of inflection, and asymptotes. See Examples 1, 2, 3, 4, and 5. (Enter your answers for the asymptotes as comma-separated lists of equations. If an answer does not exist, enter DNE.)

y= 4x²16x+9

x-intercept (smallerx-value)	(x,y)	=
x-intercept (largerx-value)	(x,y)	=
y-intercept	(x,y)	=		0,9
relative maximum	(x,y)	=		2,7
relative minimum	(x,y)	=		2,7
point of inflection	(x,y)	=
horizontal asymptote				DNE
vertical asymptote				DNE

Sketch the graph of the function.