Consider `f(x)={: {(x^(2)-4x+3,,x<=2), (3-2x,,x>2):}` ,from `R` to `R` ,then which of the following is/are true for `f`

Consider f(x)={: {(x^(2)-4x+3,,x 2):} ,from R to R ,then which of the following is/are true for f

Let f (x) =x ^(2) -4x +c AA x in R, where c is a real constant, then which of the following is/are true ?

If f:R in R is defined by f(x)=(x^(2)-ax+1)/(x^(2)+ax+1),0ltalt2 , the which of the following is true:

Let a continuous function f(x) on R rarr R be defined such that it satisfies the relation f(x)+f(x+2y)+3xy=2f(2y-x)+2y^(2)AA x,y in R Then which of the following is true

consider the function f:R rarr R,f(x)=(x^(2)-6x+4)/(x^(2)+2x+4) which of the following is not true about f(x)?

If the function F: R to R is defined by f(x)=|x|(x-sinx) , then which o f the following statemnts is true ?