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AP® Calculus AB-BC

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Intermediate Value Theorem

APCALC-UNEUUH

Consider the function $f\left( x \right) ={ x }^{ 3 }+1$ on the closed interval $[1,3]$.

According to the Intermediate Value Theorem, there exists some number $c$ in the open interval $(1, 3)$ such that $f(c)=$

A

$0$

B

$1$

C

$3.56$

D

$1.79$