Symbol Vocabulary for Motion Problems position 𝑓𝑓(𝑥𝑥) velocity 𝑠𝑠(𝑡𝑡) 𝑓𝑓 ′ 𝑥𝑥 𝑣𝑣(𝑡𝑡) acceleration 𝑓𝑓 ′′ (𝑥𝑥) © Flamingo MathTM All rights reserved 𝑎𝑎(𝑡𝑡) Function Behavior 𝒇𝒇(𝒙𝒙) Concave Down Vocabulary Concave Up 𝒇𝒇′′ (𝒙𝒙) Decreasing 𝒇𝒇′ (𝒙𝒙) Increasing Concave Down Concave Up Decreasing Vocabulary Increasing 𝒇𝒇′′ (𝒙𝒙) Negative 𝒇𝒇′ (𝒙𝒙) This chart works for any piece of given information about a function. Find given data to start, follow the flow of information to use the appropriate vocabulary when justification is required. Negative 𝒇𝒇(𝒙𝒙) FUNCTION BEHAVIOR Positive Function Behavior HOT TOPICS: Graph Analysis This chart works for any piece of given information about a function. Find given data to start, follow the flow of information to use the appropriate vocabulary when justification is required. Positive HOT TOPICS: Graph Analysis FUNCTION BEHAVIOR Symbol Vocabulary for Motion Problems position 𝑓𝑓(𝑥𝑥) velocity 𝑠𝑠(𝑡𝑡) 𝑓𝑓 ′ 𝑥𝑥 𝑣𝑣(𝑡𝑡) acceleration 𝑓𝑓 ′′ (𝑥𝑥) © Flamingo MathTM All rights reserved 𝑎𝑎(𝑡𝑡)