Test: Functions - Grade 12 MCQ

g({0}) for the function g(x) is {x | 0 ≤ x ≤ 1}. Put g(x) = y and find the value of x in terms of y such that ⌊x⌋ = y.

 To find the inverse of the function equate f(x) then find the value of x in terms of y such that f ^-1 (y) = x.

Two bytes are required to encode 2000 (actually with 2 bytes you can encode up to and including 65,535.

The composition of f and g is given by f(g(x)) which is equal to 2(3x + 4) + 1.

The domain of the integers is Z⁺ X Z⁺.

The function is not onto as f(a)≠b.

The value of ⌊5/2⌋ is 2 so, the value of ⌊1/2.2⌋ is 1.

A function is one-to-one if and only if f(a)≠f(b) whenever a≠b.

A relation from a set A to a set B is said to be a function if every element of set A has one and one image in set B.

A relation from a set A to a set B is said to be a function if every element of set A has one and one image in set B.
In {(1,2), (1,4), (2,5), (3,8)}, since element 1 has two images 2 and 4 which is not possible in a function so, it is not a function. Rest all have one and only one image so they can be called a function.