There are exactly two distinct linear functions, ______ and ______, which map [-1,1] onto [0,2].

There are exactly two distinct linear functions, which map [-1,1] onto [0,3]. Find the point of intersection of the two functions.

If fa n dg are two distinct linear functions defined on R such that they map {-1,1] onto [0,2] and h : R-{-1,0,1}vecR defined by h(x)=(f(x))/(g(x)), then show that |h(h(x))+h(h(1/x))|> 2.

If there are only two linear functions f and g which map [1,2] on [4,6] and in a DeltaABC, c =f (1)+g (1) and a is the maximum valur of r^(2), where r is the distance of a variable point on the curve x^(2)+y^(2)-xy=10 from the origin, then sin A: sin C is

Let f(x) be a linear function which maps [-1, 1] onto [0, 2], then f(x) can be

The distinct linear functions which map [-1, 1] onto [0, 2] are f(x)=x+1,\ \ g(x)=-x+1 (b) f(x)=x-1,\ \ g(x)=x+1 (c) f(x)=-x-1,\ \ g(x)=x-1 (d) none of these

Let A be a set of n distinct elements. Then the total number of distinct function from AtoA is ______ and out of these, _____ are onto functions.

For the equation |[1,x,x^2],[x^2, 1,x],[x,x^2, 1]|=0, There are exactly two distinct roots There is one pair of equation real roots. There are three pairs of equal roots Modulus of each root is 2

If the equation sin ^(2) x - k sin x - 3 = 0 has exactly two distinct real roots in [0, pi] , then find the values of k .

Let A={x=0lexle2} and B={1} . Give an example of a function from A to B. Can you define a function from B and A which is onto? Give reasons for your answer.

If "sin"^(2) theta -2"sin" theta-1 = 0 is to be satisfied for exactly 4 distinct values of theta in [0, n pi], n in Z , then the least values of n, is