The given function is:
f(x) = x + 1
A = { -2, -1, 0, 1, 2}
To get all the elements in the set B, all the elements in set A will be substituted into the function f(x) to get the corresponding values of of elements in B.
When x = -2
f(-2) = -2 + 1
f(-2) = -1
When x = -1
f(-1) = -1 + 1
f(-1) = 0
When x = 0
f(0) = 0 + 1
f(0) = 1
When x = 1
f(1) = 1 + 1
f(1) = 2
When x = 2
f(2) = 2 + 1
f(2) = 3
Therefore the set B is fiven as:
B = { -1, 0, 1, 2, 3)