The student will investigate, analyze, and compare linear functions algebraically and graphically, and model linear relationships.
A.F.1a
Determine and identify the domain, range, zeros, slope, and intercepts of a linear function, presented algebraically or graphically, including the interpretation of these characteristics in contextual situations.
A.F.1c
Write equivalent algebraic forms of linear functions, including slope-intercept form, standard form, and point-slope form, and analyze and interpret the information revealed by each form.
A.F.1di
Write the equation of a linear function to model a linear relationship between two quantities, including those that can represent contextual situations. Writing the equation of a linear function will include the following situations:
i) given the graph of a line;
A.F.1dii
Write the equation of a linear function to model a linear relationship between two quantities, including those that can represent contextual situations. Writing the equation of a linear function will include the following situations:
ii) given two points on the line whose coordinates are integers;
A.F.1diii
Write the equation of a linear function to model a linear relationship between two quantities, including those that can represent contextual situations. Writing the equation of a linear function will include the following situations:
iii) given the slope and a point on the line whose coordinates are integers;
A.F.1f
Graph a linear function in two variables, with and without the use of technology, including those that can represent contextual situations.
A.F.1g
For any value, x, in the domain of f, determine f(x), and determine x given any value f(x) in the range of f, given an algebraic or graphical representation of a linear function.
A.F.1h
Compare and contrast the characteristics of linear functions represented algebraically, graphically, in tables, and in contextual situations.
