Affine functions — definition?
Functions of the form f(x) = mx + p, with straight-line graphs.
Affine function — definition?
f(x) = mx + p, line graph.
From two points — find affine formula?
Calculate slope m, then find p by substitution.
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.
Test your knowledge with 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. What is an affine function?
Review the complete course in the revision sheet for Understanding Affine Functions and Inequalities.
See revision sheet →Import your course and AI generates flashcards in 30 seconds.
Flashcard generator