Final answer:
Children can store symbolic information in their memories during the infant stage, as symbolically based play demonstrates cognitive development in preschool-age children (3-5 years old).
Step-by-step explanation:
According to Jerome Bruner, children can store symbolic information in their memories from a very young age. Infants begin to comprehend object permanence around 8 months of age, which indicates their ability to remember and think about objects that are not currently visible. By preschool age (3-5 years old), children make significant strides in cognitive development and can engage in symbolic play, showing that they are able to think symbolically and store symbolic information. Therefore, it is reasonable to consider that children begin to store symbolic information well before the age of two, during the infant stage.