Arkansas: FOP Math Standards

FOP.3

• FOP.3.AIII.1 Compose functions (e.g., if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time)
• FOP.3.AIII.2 Verify, by composition, that one function is the inverse of another
• FOP.3.AIII.3 Read values of an inverse function from a graph or a table, given that the function has an inverse
• FOP.3.AIII.4 Produce an invertible function from a non-invertible function by restricting the domain
• FOP.3.AIII.5 Combine standard function types using arithmetic operations (e.g., build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential and relate these functions to the model)
• FOP.3.AIII.6 Understand the inverse relationship between exponents and logarithms; use this relationship to solve problems involving logarithms and exponents
• FOP.3.AIII.7 Graph transformations of functions including quadratic, absolute value, square root, cube root, cubic, and step functions; graph piece-wise defined functions including these transformations
• FOP.3.AIII.8 Determine numerically, graphically, and algebraically if a function is even, odd, or neither