Answer:
![[2,4]](https://img.qammunity.org/2021/formulas/mathematics/middle-school/wjmk063k3mblgpbuy42ngn8yiszdnaatd0.png)
Explanation:
On a coordinate plane, a curved line has minimum values of (negative 1.56, negative 6) and (3, 0). This means
1) when
, the minimum value of the function is
![y_(min)=-6](https://img.qammunity.org/2021/formulas/mathematics/middle-school/wpgxte8ecx6cx1t8rrg6bnll9jb7ywgbal.png)
2) when
the minimum value of the function is
![y_(min)=0](https://img.qammunity.org/2021/formulas/mathematics/middle-school/e7qsdwzjs7qlybdgnyso1k429kk7z6h8ip.png)
Hence, the graphed function has a local minimum of 0, when
![x=3.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/7u08v9ds1zk9e0vazsc8ixzg7gowx5gopv.png)
Therefore, the interval which contains this value of x is
because
![x=3\in [2,4].](https://img.qammunity.org/2021/formulas/mathematics/middle-school/98we80i3o0971w2u1jtvs0hcmz0vplbg54.png)