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

1, 2, 3

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1, 2, 3, 4, 5, 6

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1, 2, 3, 4

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1, 2, 3, 4, 5

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Solution

The correct option is A $1, 2, 3$
Function is defined if $7 - x > 0 \Rightarrow x < 7$

$& x - 3 > 0 \Rightarrow x > 3$

Also $x - 3 < 7 - x \Rightarrow 2 x < 10, x < 5$

$\Rightarrow x = 3, 4.5$

$R a n g e = {4 p_{0}, 3 p_{1}, 2 p_{2}}$

$= {1, 3, 2}$

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