Mark the correct alternative in each of the following: Let f: Z → Z be given by Then, f is The image shows a piecewise function f(x) defined as x/2 if x is even, and 0 if x is odd.

Q28 of 215 Page 3

Mark the correct alternative in each of the following:
Let f: Z → Z be given by Then, f is

Given function f: Z → Z defined as

For x = 3, f(x) = 0

For x = 5, f(x) = 0

But 3 ≠ 5

So, f is not one-one.

Y=f(x)

∵ x ϵ R ⇒ y ϵ R

∴ Domain = Range

Hence, f is not one-one but onto.

Mark the correct alternative in each of the following:

A function f from the set of natural, numbers to the set of integers defined by

Mark the correct alternative in each of the following:

Which of the following functions from A = {x ϵ R : –1 ≤ x ≤ 1} to itself are bijections?

Mark the correct alternative in each of the following:

The function f : R → R defined by f(x) = 6^x + 6^|x| is

Mark the correct alternative in each of the following:

Let f(x) = x² and g(x) = 2^x. Then the solution set of the equation fog(x) = gof (x) is