If `f(x)={{:(2x+3",","when",x lt 0),(0",","when",x = 0),(x^(2)+3",","when",x gt 0):}` Discuss the continuity.

f(x)={{:(2x",","when",x lt0, ),(2",", "when", x =2),(x^(2)",","when",xgt2):} is discontinuous at x=0

f(x)={{:(-x",","when",x lt0, ),(1",", "when", x =0),(x",","when",xgt0):} is discontinuous at x = 0

If f(x)={(2x+3, "when x" lt 0),(0, "when x"=0),(x^2+3, "when x"gt 0):} Discuss continuity at x=0.

f(x)={{:(3-x",","when",x le0, ),( x^(2)",", "when",xgt0):} is discontinuous at x=0

f(x){{:(2x "," if x lt 0 ),(0"," if 0 le x le 1),(4x "," if x gt 1 ):} Discuss the continuity

Let f(x) ={{:((1-cos 4x)/(x^(2))",","when" x lt 0),(a",","when"x=0),((x)/(sqrt(16+sqrtx)-4)",","when" x gt0):} Determine the value of a, if possible, so that f(x) is continuous at x=0.

If f(x) = {(1+x^(2),",", "when"0 le x lt 1),(1-x,",","when"x gt 1):} , then

If f(x) = {(1+x^(2),",", "when"0 le x lt 1),(1-x,",","when"x gt 1):} , then

If f(x) = {{:(-x, " when "x lt 0),(x^(2), " when "0 le x le 1),(x^(3) -x+1, " when " x gt 1):} then f is differentiable at

If f(x) = {{:(-x, " when "x lt 0),(x^(2), " when "0 le x le 1),(x^(3) -x+1, " when " x gt 1):} then f is differentiable at