Final answer:
Actin-binding proteins can branch, sever, and bundle actin filaments, as well as connect them to organelles, but they cannot pull chromosomes apart, a task performed by microtubules during cell division.
Step-by-step explanation:
Actin-binding proteins can influence the behavior of actin filaments in various ways, but they cannot directly carry out functions such as 'pull chromosomes apart during cell division,' which is a specific role typically attributed to microtubules and associated proteins like tubulin. Actin-binding proteins can branch actin filaments, sever actin filaments, bundle actin filaments, and prevent further extension of actin filaments. Moreover, they can connect actin filaments to organelles. However, the role of segregating chromosomes during cell division is primarily the task of the mitotic spindle, which is comprised of microtubules and associated motor proteins like dynein and kinesin, not actin-binding proteins or actin filaments.