Affine functions — definition?
Functions of the form f(x) = mx + p, with straight-line graphs.
From two points — find affine formula?
Calculate slope m, then find p by substitution.
Affine function — definition?
f(x) = mx + p, line graph.
p — role?
Y-intercept of the line.
m — role?
Slope of the line.
From two points — m formula?
m = (yB - yA) / (xB - xA).
Calculate p from point?
Substitute point into f(x)=mx+p.
m > 0 — function?
Strictly increasing on all reals.
Affine vs linear — difference?
Linear passes through origin; affine may not.
Answer 5 questions on Understanding Affine Functions and Inequalities.
1. How does an affine function differ from a linear function in terms of their graphs and algebraic expressions?
2. How do the methods for determining the coefficient directeur and the constant term differ when finding the affine function expression from two points?
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