Functions

Checklist

  • Relations are sets of ordered pairs.
  • Functions are relations where each x (domain) links to only one y (range)
  • A vertical line dropped through the graph of a function will cross it just once
  • Output y = F(x) where F is function name and x is input
    • Evaluate by subbing in a value for x

Some functions to know

  • Linear: f(x)=mx+b same as slope-intercept
  • Constant: f(x)=b horizontal line
  • Identity: f(x)=x diagonal through origin {(-1, -1), (0, 0), (1, 1)}
  • Square (parabola): f(x)=x^2 or f(x)=-x^2
  • Cube: f(x)=x^3 or f(x)=-x^3
  • SqRoot: f(x)=√x or f(x)=-√x
  • Abs: f(x)=|x| diagonals meeting at 90 degrees, positive y only