Precalculus · Unit 1

Coordinates, Graphs & Functions

What you’ll learn

Connect algebraic information to a visual picture. Begin with position, distance, and midpoint, then use graphs and functions to describe how quantities relate.

  • Read and plot ordered pairs, including points on an axis.
  • Use distance and midpoint to describe a segment in the coordinate plane.
  • Relate horizontal and vertical changes to the Pythagorean Theorem.
  • Interpret a graph’s coordinates and units in the context of a situation.
  • Sketch equations, use intercepts and symmetry, and model with lines and circles.
  • Evaluate functions at numbers and expressions and find their domains and ranges.
  • Describe zeros, increasing and decreasing intervals, and relative extrema.
  • Interpret average rate of change and identify even and odd functions.