# Week 1 Relation & Functions Presentation

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Week 1 Functions 3.1 Relation & Functions Relation = Set of Ordered Pairs Ex. (1,5) (2, 4) (3, 6) Function = no ordered pairs of the same value Ex. Function = (1,5) (2,4) (3,6) Not a Function = (1,5) (2,4) (1,6) (1, 3) cannot also be (1,5) Function Q R S Not a Function Q S P Ex. 2 ---- Is grade point average a function of the grade percentage? Remember: Input X = Domain = Y= Range = Output Grade % Grade Point 0-56 0.0 57-61 1.0 62-66 1.5 67-71 2.0 Note: “A function of…” indicates the part after is the input or X value Ex. 3 ---- Use function notation to represent a function whose input is the name of a month and output is the number of days in that month. Assume that the domain does not include leap years. Let’s do this for the Month of January. What is the input or x? Jan. What is the output or y? 31 For the function equation y = f(x)? Now do example 4 by yourself and tell me what the correct answer is 31 = f(Jan) Evaluate a function = input values give to equation Ex. 6 ---- Evaluate f(x)=x2+3x−4 A. B. C. D. 2 a a+h f(a+h)-f(a) / H A. X = 2 f(2)=(2)^2 + 3(2) - 4 f(2) = 4 + 6 - 4 f(2) = 6 We know that for f(a)=a2+3a−4 AND f(a+h)=a2+2ah+h2+3a+3h−4 D. For D you will put the information into the equation f(a+h)−f(a)/H =(a2+2ah+h2+3a+3h−4)−(a2+3a−4)/H ALWAYS SIMPLIFY Finding the equation of a function Example 9. Express the relationship 2n+6p=12 as a function p=f(n), if possible. Essentially, this is asking to i ...
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