When establishing connections among representations of associated mathematical concepts, students encounter different difficulties and successes along the way. The purpose of this study was to uncover information about and gain greater insight into how student processes connections. Pre-calculus students were observed and interviewed while performing a task that required connections among graphical and algebraic representations of a polynomial relation. Their reasoning and processes on the task were examined. This revealed more detailed information about the nature of their connections and misconceptions. The study reveals different types of student connections among graphical and algebraic representations.