Question For this problem, consider the functiony=f(x)=|x|2+x9on the domain of all real numbers.(a) The value oflimxf(x)-or, enter -infinity or infinity.limx-f(x)-or, enter -infinity or infinity.x-intercepts; list these in increasing order: s=(d) The intercepts in part (c) divide the number line into three intervals. From left to right, indicate the sign of thefunction on each of these intervals by typing "P"(for positive)or"N"(for negative):sign on(-,s)=sign on(s,t)=t,f'(x)=.Ifxis negative, the formula for f'(x)=(f) There are two critical numbers for f(x); list these in increasing order:w=(g) The critical numbers in(f) break the domain into three intervals; on each, determine if the function isincreasing or decreasing by typing "I" or"D":sign on(-,v)=sign on(v,w)=w,f(x) occurring atx=(i)limx0f'(x)=-or, enter -infinity or infinity; if the limit does not exist,write "DNE".xis positive, the formula for f''(x)=.Ifxis negative, the formula for f''(x)=(k) TRUE or FALSE: The function is concave upatx=1?TrueFalse(I) TRUE or FALSE: The function is concave upatx=-1?TrueFalse(m) TRUE or FALSE: There isan inflection point at(0,0)on the graph.TrueFalse (n) The graph ofy=f(x)A,B,CorD