`f(x)={:{(2-,|x^(2)+5x+6|",",xne-2),(a^(2),+1",",x=-2):}`,then the range of a, so that f(x) has maxima at x=-2 is

Let f (x) = {{:(2-|x ^(2) +5x +6|, x ne -2),( b ^(2)+1, x =-2):} Has relative maximum at x =-2, then complete set of values b can take is:

If f(x)={{:(3-x^(2)",",xle2),(sqrt(a+14)-|x-48|",",xgt2):} and if f(x) has a local maxima at x = 2, then greatest value of a is

The range of f(x) = 2+2x +x^(2) is

f(x) ={{:((x)/(2x^(2)+|x|),xne0),( 1, x=0):} then f(x) is

Find the range of f(x) =x^(2) -5x + 6

If f(x)=(log)_e((x^2+e)/(x^2+1)) , then the range of f(x)

Let f(x)={(1+|x-2|, ,x!=2), (2, , x=2):} then at x=2, f(x) has

If f(x) f(x) ={((x^2-9)/(x-3)","" " xne3),(" 6""," " "x = 3"):} then show that f(x) is continuous at x=3.

f(x)=cot^(- 1)(x^2-4x+5) then range of f(x) is equal to :

Range of f(x) = (1)/(2x-1) is