Virginia SOL A.F.1

What students need to be able to do

• Determine and identify the domain, range, zeros, slope, and intercepts of a linear function presented algebraically or graphically.
• Investigate and explain how transformations to the parent function y = x affect the rate of change (slope) and the y-intercept of a linear function.
• Write equivalent algebraic forms of linear functions, including slope-intercept, standard, and point-slope forms, and analyze the information revealed by each form.
• Write the equation of a linear function to model a linear relationship between two quantities, including contextual situations.
• Write the equation of a line parallel or perpendicular to a given line through a given point.
• Graph a linear function in two variables with and without technology, including contextual situations.
• 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.
• Compare and contrast the characteristics of linear functions represented algebraically, graphically, in tables, and in contextual situations.