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Math·Advanced Math·Nonlinear functions

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$x$	$f(x)$
$-1$	$-24$
$0$	$-23$
$1$	$-22$
$2$	$-15$

The table shows several values of $x$ and their corresponding values of $f(x)$ for the polynomial function $f$. Which of the following could define $f$?

A

$f(x)=x^3$

B

$f(x)=x^3-23$

C

$f(x)=x^3+23$

D

$f(x)=(x-23{)}^3$