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5-3: Function Rules, Tables, and Graphs. Prof. Annie Tran Dr. Larry Le Sir. Tommy Le. Welcome to Lesson 5-3!!. Objectives. To draw graphs and write function rules. To analyze tables. To model function rules. Vocabulary!.
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5-3: Function Rules, Tables, and Graphs Prof. Annie Tran Dr. Larry Le Sir. Tommy Le
Objectives • To draw graphs and write function rules. • To analyze tables. • To model function rules.
Vocabulary! • Continuous data - data in which numbers between any two values make senses. • (Includes measurement of temperature, length, or weight) • Discrete data - data that involves in count of items • (Includes number of people or number of cars)
Eff Exx ?!?! • We write function rule as f(x) = x • f(x) = y value (range, output) • x = x value (domain, input) • x value can be any numbers.
Examples • Model the function rule: f(x) = -⅓x + 2 using a table of values and a graph.
Quick Check • Model the rule f(x) = 10x + 5 with the input value = 1 to 5 • Write the answer in ordered pair.
Discrete Data • An automatic photo booth charges (C) $3 for a sheet of photo (p). the function rule is C(p) = 3p
Continuous Data • You get 27$ for your salary (s) each hour (h) you worked. The function rule is S(h) = 27h
Quick Check • 1. Your weight on the moon is one sixth your weight on Earth. Say you are 50kg, what is your weight on the moon. M(w) = 1/6w • 2. The function c = 4.20t represents the cost of tickets to a NBA basketball game.
How to graph an absolute value • Graph the function y = |x| + 2. Make a table of values.
How to graph an exponent • Graph the function f(x) = x2 + 3. Make a table of values.
Assignments Make a table of values and graph. • f(x) = -3x - 2 • y = x2 - 7 • y = |2x| + 2
y=22,31,50 • touch the best answer y=22,31,25 y=10,13,11 y=18,19,20 y=18,27,21
f(x)=2x+6 fill in the blank of the table. 27 36 24 38 25 34 32
f(x)=3x-9 F.46 B.69 • choose the best answer for y x=19 E.51 D.49 A.66 C.48
Real-Life Connections • Calculate bank account saving. • Outcome of something • Example: For every credit you have, you receive 2 points plus a 2 points bonus. f(x) = 2x + 2
Go home and do it • Page. 266 #1-5, 15-23.