### Home > APCALC > Chapter 9 > Lesson 9.3.2 > Problem9-97

9-97.

Multiple Choice: The function f given below has discontinuities at: $f ( x ) = \left\{ \begin{array} { l l } { - ( 2 x + 3 ) ^ { 2 } } & { \text { for } x < - 1 } \\ { x ^ { - 2 / 3 } + 2 x } & { \text { for } - 1 \leq x \leq 1 } \\ { 3 \operatorname { cos } ( 0.1 x ) } & { \text { for } x > 1 } \end{array} \right.$

1. $x = 0$

1. $x = -1, 0$

1. $x = -1, 1$

1. $x = 0, 1$

1. $x = 1$

$\text{Does }-2(2x+3)^2=x^{-2/3}+2x\text{ at }x=-1\text{?}$

$\text{Does }x^{-2/3}+2x=3\cos(0.1x)\text{ at }x=1\text{?}$