The function `f(x)={(x^2/a, if 0le x lt1),(a, if 1 le x lt sqrt2),((2b^2-4b)/(x^2), if sqrt(2) le xlt 00):}` is continuous on `[0,oo]dot` Find the most suitable values of `a` and `bdot`

If f(x) {:(=x^(2)/a", if " 0 le x lt 1 ),(= a", if " 1 le x lt sqrt(2) ),(=(2b^(2)-4b)/(x^(2))", if " sqrt(2) le x ) :} is continuous in (0,oo) , then the most suitable values of a and b ( in that order ) are

The function f(x) = (x^(2))/(a) , if 0 le x le 1 =a, if 1 le x lt sqrt(2) = (2b^(2) - 4b)/(x^(2)) , if sqrt(2) le x lt oo is continuous for 0 le x lt oo , then the most suitable values for a and b are :

Let f(x) = [{:((x^(2))/(a),0 le x lt 1),(a,1 le x lt sqrt(2)),((2b^(2) - 4b)/(x^(2)),sqrt(2) le x):} be continuous in [0, oo) , then the most suitable values of a and b are :

The function f(x)={x^2a a,if1lt=x

The function f(x)={x^2a a,if1lt=x

Let a , b, in R , (a ne 0) . If the function defined as f(x) ={{:((2x^(2))/(a) , 0 le x lt 1),(a , 1 le x lt sqrt(2)),((2b^(2 ) - 4b)/(x^(3) ), sqrt(2) le x lt oo):} is continuous in the interval [0 ,oo) , then an ordered pair (a,b) is :

The function f(x)={{:(,(x^(2))/(a),0 le x lt 1),(,a,1le x lt sqrt2),(,(2b^(2)-4b)/(x^(2)),sqrt2 le x lt oo):} is a continuous for 0 le x lt oo . Then which of the following statements is correct?

The function f(x)={{:(,(x^(2))/(a),0 le x lt 1),(,a,1le x lt sqrt2),(,(2b^(2)-4b)/(x^(2)),sqrt2 le x lt oo):} is a continuous for 0 le x lt oo . Then which of the following statements is correct?

The function f(x)={x^2a a(2b^2-4b)/(x^2) ,if0lt=x<1,if1lt=x