Graphing Overview

Graphing Families Overview

Square Root Functions

A square root function is a function that contains a variable under the square root symbol SqRt1-1. Square and square root are inverse operations, so there will be similarities in their graphs.

Square root functions have equations in the form: SqRt1-2 or in exponential notation as SqRt1-3. Graphs of square root functions increase quickly at first then flatten to a very slow rate of change.

See the table and graph of a basic square root function below.




square_table

f(x) = ?x

SqRt1-4



Here are some situations that can be modeled by square root functions:
  • Power factor and electrical load distribution (power vs. load).
  • Collision detection for polygon shaped objects (direction vs. size).
  • Fly ball behind the plate (distance vs. time).