IMathAS-libretexts

x	-6	-5	-4	-3	-2	-1	0	1	2
$\displaystyle {f{{\left({x}\right)}}}$	166	141	118	97	78	61	46	33	22
$\displaystyle {g{{\left({x}\right)}}}$	-166	-141	-118	-97	-78	-61	-46	-33	-22

Which of the following is the best description of the table shown above

$\displaystyle {f}$ is not a function
$\displaystyle {g}$ is a reflection of $\displaystyle {f}$ across the x-axis
$\displaystyle {f}$ and $\displaystyle {g}$ are function inverses
$\displaystyle {g}$ is a reflection of $\displaystyle {f}$ across the y-axis
$\displaystyle {g}$ is a shift of $\displaystyle {f}$ down 3 units

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