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The range of the function $f(x)={ }^{7-x} P_{x-3}$ is
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The correct answer is:
$\{1,2,3\}$
$\{1,2,3\}$
$f(x)={ }^{7-x} P_{x-3}$
$7-x \geq 0 \Rightarrow x \leq 7$
$x-3 \geq 0 \Rightarrow x \geq 3$,
and $7-x \geq x-3 \Rightarrow x \leq 5$
$\Rightarrow 3 \leq x \leq 5 \Rightarrow x=3,4,5 \Rightarrow$ Range is $\{1,2,3\}$
$7-x \geq 0 \Rightarrow x \leq 7$
$x-3 \geq 0 \Rightarrow x \geq 3$,
and $7-x \geq x-3 \Rightarrow x \leq 5$
$\Rightarrow 3 \leq x \leq 5 \Rightarrow x=3,4,5 \Rightarrow$ Range is $\{1,2,3\}$
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