BUILD A FUNCTION THAT MODELS A RELATIONSHIP BETWEEN TWO QUANTITIES
MCC9-12.F.BF.1 Write a function that describes a relationship between two quantities
MCC9-12.F.BF.1a Determine an explicit expression, a recursive process, or steps for calculation from a context.
MCC9-12.F.BF.1b Combine standard function types using arithmetic operations. For example, 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.
MCC9-12.F.BF.1a Determine an explicit expression, a recursive process, or steps for calculation from a context.
MCC9-12.F.BF.1b Combine standard function types using arithmetic operations. For example, 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.
MCC9-12.F.BF.1 |
MCC9-12.F.BF.1A |
MCC9-12.F.BF.1B |
BUILD NEW FUNCTIONS FROM EXISTING FUNCTIONS
MCC9-12.F.BF.3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
- Note the effect of multiple transformations on a single graph and the common effect of each transformation across function types.