Continuity of function defined differently for rational and irrational value of x

Based on Rational irrational

Let f(x) be a continuous function defined for 0lexle3 , if f(x) takes irrational values for all x and f(1)=sqrt(2) , then evaluate f(1.5).f(2.5) .

The sum/difference of a rational and an irrational number is _______ .

The function f(x)={0,x is irrational and 1,x is rational,is

Let f(x) be a continuous function defined for 1<=x<=3. If f(x) takes rational values for all x and f(2)=10 then the value of f(1.5) is :

Let f(x) be a continuous function defined for AA x in R , if f(x) take rational values AA x in R and f(2) = 198 , then f(2^(2)) = ……

Let f(x) be a continuous function defined for AA x in R. if f(x) take rational value AA x in R and f(2)=198, then f(2^(2))=...

Let f(x) be a continuous function defined on [1, 3] . If f(x) takes only rational values for all x and f(2)=10 , then f(2.5)=

Let f(x) be a continuous function defined for 2020 <= x <= 2022 .If f(x) takes irrational values for all x in domain and f(2020)=pi , then the value of sin(f(2021)) is

Define continuity of a function at a point.