question_answer

The range of the function\[f(x){{=}^{7-x}}{{P}_{x-3}}\]is

A) {1, 2, 3}      

B)        {1, 2, 3, 4, 5, 6}

C) {1, 2, 3, 4}       

D) {1, 2, 3, 4, 5}

Correct Answer: A

Solution :

The given function  \[f(x){{=}^{7-x}}{{P}_{x-3}}\] would be defined, if (i) (ii) \[x-x\ge 0\Rightarrow x\ge 3\] (iii)\[(x-3)\,\le (7-x)\]                          Hence, range of Range of. NOTE Ifthen in A the set of elements of B which have pro-image is known as range ofwhile set B is known as codomain of.