Let `X={2,3,4,5}andY={7,9,11,13,15,17}`. Define a relation f from X to Y by: `f={(x,y):x""inX,yinYandy=2x+3}`. (i) Write in roster form. (ii) Find dom (f) and range (f). (iii) Show that f is a function from X to Y.

Let A={2,3,5,7}andB={3,5,9,13,15} . Let f={(x,y):x""inA,y""inBandy=2x-1} . Write f in roster form. Show that f is a function from A to B. Find the domain and range of f.

Let A={0,1,2}andB={3,5,7,9}."Let "f={(x,y):x""inA,yinBandy=2x+3} . Write f as a set of ordered pairs. Show that f is a function from A to B. Find dom (f) and range (f).

Let X={1,2,3,4}andY={1,4,9,16,25} Let f={(x,y):x""inX,yinYandy=x^(2)} (i) Show that f is a function from X to Y. Find its domain and range. (ii) Draw a pictorial representation of the above function. (iii) If A={2,3,4} , find f(A).

Let f(x) = x^(3). Then, dom (f ) and range (f ) are respectively

Let f(x) =x^(2). Then dom (f ) and range (f ) are respectively

Let A={1,2}andB={2,4,6}."Let "f={x,y):x""inA,yinBandandygt2x+1} . Write f as a set of ordered paris. Show that f is a relation but not a function from A to B.

Let A = { 5,6,7,8} , B = {-11,4,7,-10,-7-9,-13} and f = {(x,y): y = 3 -2x, x in A, y in B }. (i) Write downthe elements of f. (ii) What is the co-domain? (iii) What is the range? Identify the type of function.

Let f: N to Y : f(x)=x^(2) " where " Y = " range " ( f) . Show that f is invertible and find f^(-1)

Let f: [-1 ,1] to Y : f(x) =.(x)/((x+2)), x ne -2 " and " Y= range ( f ). Show that f is invertible and find f^(-1)

Let X = {1, 3, 5, 7} and Y={2, 4, 6, 8}. If f be the rule associating elements of X to elements of Y, such that f(1) = 4, f(3) = 2, f(5) = 8, f(3) = 6, f(7) = 4. State whether f defines a function of X into Y or not.