La. Admin. Code tit. 28 § CLXXI-1905

Current through Register Vol. 50, No. 11, November 20, 2024
Section CLXXI-1905 - Functions
A. Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. (Function notation is not required in this grade level.)
B. Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

Example: Given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.

C. Interpret the equation y=mx + b as defining a linear function whose graph is a straight line; categorize functions as linear or nonlinear when given equations, graphs, or tables.

Example: The function A=s2 giving the area of a square as a function of its side length is not linear, because its graph contains the points (1,1), (2,4), and (3,9), which are not on a straight line.

D. Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
E. Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

La. Admin. Code tit. 28, § CLXXI-1905

Promulgated by the Board of Elementary and Secondary Education, LR 421056 (7/1/2016).
AUTHORITY NOTE: Promulgated in accordance with R.S. 17.6, R.S. 17:24.4, and R.S. 17:154.