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  4. The range of the function f(x)= 7-x Px-3 is

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Q. The range of the function $f(x)={ }^{7-x} P_{x-3}$ is

Relations and Functions

Solution:

$ 7-x \geq 1, x-3 \geq 0 $
$\text { and } 7-x \geq x-3$
$\Rightarrow x \leq 6, x \geq 3, x \leq 5$
$\text { Thus } 3 \leq x \leq 5$
$\therefore \text { Range }=\left\{4 P_0, 3 P_1, 2 P_2\right\}$
$=\{1,3,2\} $