Scrabble What is the value of your last name in Scrabble points? 1 point: E, A, I, O, N, R, T, L, S, U 2 points: D, G 3 points: B, C, M, P 4 points: F, H, V, W, Y 5 points: K 8 points: J, X 10 points: Q, Z
Lecture: Day 1B Pre AP & GT Precalculus Functions: Precalculus in one word Lecture: Day 1B Pre AP & GT Precalculus
Definition of Function A relation which associates one and only one output value to each input value Birthday Example…find two of the same bday in class and associate to the numbers in the diagram
No, the value 2 in set A corresponds to both B and C in set B Example #1 Use brief bullets and discuss details verbally. No, the value 2 in set A corresponds to both B and C in set B
Example #2 Use brief bullets and discuss details verbally. Yes, Each value in set A corresponds to one and only one value in set B
How do we say it? Which is correct? Person is a function of birth date If the we are given a function with an input, in, and an output, out: We say: OUT is a function of IN Which is correct? Birth date is a function of person OR Person is a function of birth date
Is height a function of weight? Input: weight output: height Yes, each weight has one and only one height
Is weight a function of height? Input: height output: weight No, the height 60 inches is associated to both 204 pounds and 120 pounds
Scrabble Questions? Is the number of letters in your last name a function of last name? Is your last name a function of its number of letters? Is your point value a function of last name? Is your last name a function of point value?
Is the number of letters in your last name a function of last name? Yes, Each of your last name’s has an associated point value
Is your last name a function of its number of letters? No, for instance 5 letters corresponds to more than one last name (Smith & Jones)
Is your point value a function of last name? Yes, each last name has only one point value
Is your last name a function of point value? No, Eight Points is associated with more than one name (e.g. Ford and Story)