LAC 28:CXLII.2115. Building Functions

A. Build a function that models a relationship between two quantities. 1. Write a linear, quadratic, or exponential function that describes a relationship between two quantities. a. Determine an explicit expression or steps for calculation from a context. B. Build new functions from existing functions. 1. Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), and f(x + k) for specific values of k. Without technology, find the value of k given the graphs of linear and quadratic functions. With technology, experiment with cases and illustrate an explanation of the effects on the graph that include cases where f(x) is a linear, quadratic, piecewise linear or exponential function.