Question

2. Let f:1-B be a function defined by f(x) = - 1, where A = {2,4,6,10,12},
B = {0,1,2,4,5,9}. Represent f by
(i) set of ordered pairs (ii) a table (iii) an arrow diagram (iv) a graph



3. Represent the function f = {(1,2),(2,2),(3, 2),(4,3),(5,4)} through
(i) an arrow diagram (ii) a table form
(iii) a graph


4. Show that the function f:N + N defined by f(x) = 2x - 1 is one-one but not onto.


5. Show that the function f:N N defined by f(m) = m + m +3 is one-one function.


6. Let A= {1,2,3,4} and B = N. Let f : A + B be defined by f(x) = ri then,
(i) find the range of f
(ii) identify the type of function

7. In each of the following cases state whether the function is bijective or not. Justify
your answer.
(i) f:R → R defined by f(x) = 2x + 1 (ii) f: R + R defined by f(x) = 3 - 4x2

8. Let A={-1,1} and B = {0,2}. If the function f : A - B defined by f(x) = ax +b is
an onto function? Find a and b.​

Answer 1

Answer:

due to this is long question please type a correct questions that I could answer this please write it it nicely so that I could understand it and answer