Question
is -
- one-one onto
- one-one into
- many one onto
- many one into
The correct answer is: many one into
To find the type of function.
for x>0, f(x)=x+x=2x
and x<0, f(x)=x−x=0
if a line is drawn along x axis, it will intersect f(x) on infinite number of point
Therefore, it is many one
range of f(x) is [0,∞)
Therefore, it is into
Hence, the given function is many one and onto.
Related Questions to study
If f(x) is a polynomial function satisfying the condition f(x). f(1/x) = f(x) + f(1/x) and f(2) = 9 then -
If f(x) is a polynomial function satisfying the condition f(x). f(1/x) = f(x) + f(1/x) and f(2) = 9 then -
Fill in the blank with the appropriate transition.
The movie managed to fetch decent collections ______ all the negative reviews it received.
Fill in the blank with the appropriate transition.
The movie managed to fetch decent collections ______ all the negative reviews it received.
If R be a relation '<' from A = {1, 2, 3, 4} to B = {1, 3, 5} i.e. (a, b) R iff a < b, then is
Values of are {(3, 3), (3, 5), (5, 3), (5, 5)}
If R be a relation '<' from A = {1, 2, 3, 4} to B = {1, 3, 5} i.e. (a, b) R iff a < b, then is
Values of are {(3, 3), (3, 5), (5, 3), (5, 5)}
Which one of the following relations on R is equivalence relation
Which one of the following relations on R is equivalence relation
Let R = {(x, y) : x, y A, x + y = 5} where A = {1, 2, 3, 4, 5} then
Hence, the given relation is not reflexive, symmetric and not transitive
Let R = {(x, y) : x, y A, x + y = 5} where A = {1, 2, 3, 4, 5} then
Hence, the given relation is not reflexive, symmetric and not transitive
Let be a relation defined by Then R is
Hence, the given relation is Reflexive, transitive but not symmetric.
Let be a relation defined by Then R is
Hence, the given relation is Reflexive, transitive but not symmetric.
The relation R defined in N as aRb b is divisible by a is
Hence, the given relations is reflexive but not symmetric.
The relation R defined in N as aRb b is divisible by a is
Hence, the given relations is reflexive but not symmetric.