FOP.3.AIII

FOP.3.AIII

FOP.3.AIII.1Compose 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.2Verify, by composition, that one function is the inverse of anotherFOP.3.AIII.3Read values of an inverse function from a graph or a table, given that the function has an inverseFOP.3.AIII.4Produce an invertible function from a non-invertible function by restricting the domainFOP.3.AIII.5Combine 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.6Understand the inverse relationship between exponents and logarithms; use this relationship to solve problems involving logarithms and exponentsFOP.3.AIII.7Graph transformations of functions including quadratic, absolute value, square root, cube root, cubic, and step functions; graph piece-wise defined functions including these transformationsFOP.3.AIII.8Determine numerically, graphically, and algebraically if a function is even, odd, or neither
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