3.5. Linear functions

Linear functions

The analytical expression of a linear function is a first degree polynomial equation: 
f(x) = mx + n.

What you need to know about linear functions:
  • ·      The domain is IR
  • ·      They are continuous functions.
  • ·      Their graphs are straight lines. To draw the graph, choose some values for the independent variable, x, plug them into the function to get the value for y, and plot these on the graph. Then connect the points with a straight line.
  • ·      The slope is m (the coefficient of the x in the equation). It represents the variation in y for each unit of x.
  • ·      Theirs ordinate at the origin is n. They intersect the Y axis at point (0, n).