PreCalculus Project

PreCalculus Project

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Storyboard Description

my precal project about determining the domain of a function

Storyboard Text

  • Zoe is waiting for her colleague to arrive in front of a cafe.
  • Hmm, where is he? I need him to guide and mentor me as I will be taking his place in the Pre-Calculus class!
  • Oh, there you are, Mr. Grekins! Where were you?
  • My apologies, dear Zoe. I had a class to teach. I taught them a new lesson which was about finding the domains of a function. Let's enter, shall we?
  • Examples: - f(x) = 1 / x2- x  : Domain: {x | x ≠ 1} - f(x) = √9-x2  : Domain: {x | -3 < x < 3} - f(x) = x / √x+1   Domain: {x > -1}
  • To start with, the domain of a function is the set of x-values that you can put into the function. It is an input value in order to produce an output value (range).
  • So, tell me. The lesson was about finding the domains of a function. What can you say about that?
  • Yes, of course! The basic rules are that if the function is radical, the radicand cannot be negative. For instance, if the function is the square root of x, x cannot be negative. Thus, the domain will be {x | x > 0}.
  • Ah.. that's interesting. Can you tell me the rules?
  • On the other hand, if the function is a fraction, the denominator cannot be zero. For instance, if the function is 1/x, x cannot be zero. Thus, the domain will be {x | x ≠ 0}. If the function is a normal polynomial with no radical or fraction, the domain can be all real numbers, which is {x | x = |R}.
  • Wow! I hope to be like you someday, Mr. Gekins. Will you show me your class?
  • As Mr. Gekins show Zoe his class, Zoe couldn't wait to start teaching!
  • Pre-Calculus Lesson: Finding The Domain of A Function
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