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5-3: Function Rules, Tables, and Graphs
Prof. Annie TranDr. 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!
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.
x f(x) = -⅓x + 2 f(x)
-6 f(x)= -⅓(-6) + 2 4
0 f(x)= -⅓(0) + 2 2
12 f(x)= -⅓(12) + 2 -2
x,f(x)
(-6,4)
(0,2)
(12,-2)
Plot points
Quick Check
Model the rule f(x) = 10x + 5 with the input value = 1 to 5
Write the answer in ordered pair.
Discrete DataAn automatic photo booth charges (C) $3 for a sheet of photo (p). the function rule is C(p) = 3p
p C(p) = 3p (p,C(p))
5 3(5) (5,15)
8 3(8) (8,24)
9 3(9) (9,27)
Continuous DataYou get 27$ for your salary (s) each hour (h) you worked. The function rule is S(h) = 27h
h S(h) = 27h (h,S(h))
8 27(8) (8, 216)
0 27(0) (0,0)
5 27(5) (5,135
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.
x y = |x| + 2 [x,y]
-1 |-1| + 2 = 3 [-1,3]
0 |0| + 2 = 2 [0,2]
1 |1| + 2 = 3 [1,3]
How to graph an exponent
Graph the function f(x) = x2 + 3. Make a table of values.
x f(x) = x2 + 3 [x,y]
-2 4 + 3 = 7 [-2,7]
0 0 + 3 = 3 [0,3]
4 16 + 3 = 19 [4,19]
Assignments
Make a table of values and graph.
f(x) = -3x - 2
y = x2 - 7
y = |2x| + 2
GAMETIME!
f(x)=3x+4
x y
6 ?
9 ?
7 ?
touch the best answer
y=22,31,25
y=18,19,20
y=22,31,50
y=18,27,21
y=10,13,11
f(x)=2x+6x y
9 ?
13 ?
16 ?
fill in the blank of the table.
25
2427
34
32
38
36
f(x)=3x-9
choose the best answer for y
x=19
C.48
D.49
F.46
E.51
A.66
B.69
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
Homework time
Go home and do it
Page. 266 #1-5, 15-23.