The range of the function `f(x)=7-x p_(x-3)` , isA. {1,2,3,4,5}B. {1,2 – InterviewSolution

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1.	The range of the function `f(x)=7-x p_(x-3)` , isA. {1,2,3,4,5}B. {1,2,3,4,5,6}C. {1,2,3,4}D. {1,2,3}
Answer» Correct Answer - D Clearly `f(x)=^(7-x)P_(x-3),is` defined for positive integer values of x satisfying `7-x gt 0, x-3 ge 0 and x-3 le 7-x` `i.e. x lt 7, x ge 3 and x-3 le 7 -x` i.e. x=3,4,5 `therefore "Domain(f)"=(3,4,5)` Hence, range(f)=`(f(3),f(4),F(5)={.^(4)P_(0),^(3)P_(1),^(2)P_(2)}` ={1,2,3}

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