Equations, Relations, and Functions

In This Chapter

  • When is an equation a function?
  • Important function properties
  • Building your function skills repertoire
  • The basics of parametric equations

I still remember the fateful day in Algebra I when the equation y = 3x + 2 became f(x) = 3x + 2. The dreaded function! At the time, I didn’t quite understand why we had to make the switch. I was a fan of the y and was sad to see it go. What I failed to grasp was that the advent of the function marked a new step forward in my math career.

If you know that an equation is also a function, it guarantees that the equation in question will always behave ...

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