Mathematic for Junior High School

Mathematic Subject of junior high school about function:

Relation
Mapping
5. Function
Linear function is a function that coined the form f (x) = ax + b with a, b ε Q or R, a ≠ 0

Example:
f(x) = 4x – 2
f(x) = 7x + 2
f(x) = 10x – 3

Known f(x) = 6x + 2 for {x|-3 ? x ? 2, x ? B}
Determine:
A. Domain by Register
B. Range Association
C. Association by Settlement

Answer:

A. Domain by register

f (x) = 6x + 2 untuk {x|-3 ? x ? 2, x ? B)
are = {-3, -2, -1, 0, 1, 2, 3}

B. Range Association

f (x) = 6x + 2
f (-3) = 6x + 2
f = 6(-3) + 2
f = -18 + 2 = -16

f (x) = 6x + 2
f (-2) = 6x + 2
f = 6(-2) + 2
f = -12 + 2 = -10

f (x) = 6x + 2
f (-1) = 6x + 2
f = 6(-1) + 2
f = -6 + 2 = -4

f (x) = 6x + 2
f (0) = 6x + 2
f = 6(0) + 2
f = 2

f (x) = 6x + 2
f (3) = 6x + 2
f = 6(3) + 2
f = 18 + 2 = 20

f (x) = 6x + 2
f (2) = 6x + 2
f = 6(2) + 2
f = 12 + 2 = 14

f (x) = 6x + 2
f (1) = 6x + 2
f = 6(1) + 2
f = 6 + 2 = 8

C. Association with settlement

{(-3,-16), ( -2, 10) (-1,-4) (0,2) (1, 8 ) (2,14)( 3,20)}

Comments

Post a Comment

Popular posts from this blog

Cube and Tube Formula

Image
Cube: Cube Volume V = a 3                              (1) where V = volume (m 3  , ft 3  ) a = side (m, ft) Surface Area Ao = 6 a 2   (1b) where Ao = surface area (m 2 , ft 2 ) Diagonal d = a 3 1/2  (1c) where d = innside diagonal (m, ft) Cuboid Tube Volume V = a b c                                    (2) where: V = volume of solid (m 3  , ft 3  ) a = length of rectangular prism (m, ft) b = width of rectangular prism (m, ft) c = height of rectangular prism (m, ft) Diagonal d = (a 2 + b 2   + c 2 ) 1/2                    (2b) Surface Area Ao = 2 (a b + a c + b c)                 (2c) where Ao = surface area of solid (m 2 , ft 2  ) Parallel piped: Parallel Pipped Volume V = A 1 h (3a) where A 1 = side area (m 2 , ft 2  ) Cylinder: Cylinder Volume V = π/4 d 2   h = π r 2 h         (4a) where d = diameter of cylinder (m, ft) r = radius of cylinder (m, ft)
Read more

Statistic Problem

1. Known the number of ball n(s) = 100 Ask: The change take a ball with number divisible by 5 but not divisible by 3 if taken randomly. Answer: For example A = ball with number divisible by 5 but not divisible by 3 n(A) = 14, namely 5, 10, 20, 25, 35, 40, 50, 55, 65, 70, 80, 85, 95 and 100 P(A) = n(A)/n(s) = 14/100 = 7/50 2. Known: One badminton team consist of 5 members, will decide 2 people play a single players, and 2 pairs to play double. Ask: How many option can be made. First Way Solution: For example 5 people of badminton team are A, B, C, D, and E. Then we choose A and B to play single. Option Single Double 1 A, B CD, AE 2 A, B CE, AD 3 A, B  DE, AC 4 A, B CD, BE 5 A, B CE, BD 6 A, B DE, BC The option number when A and B choose as single player are 6 option. The way to choose player as single player are 10, namely AB, AC, AD, AE, BC, BD, BE, CD, CE, and DE. From one option of single player will make 6 option so for all way to choose single
Read more

Phytagoras Formula

Image
A simple formula from pythagoras is calculatef of each side on right triangle as follows: C 2 = A 2 + B 2 Where : C = the incline side length A and B = other triangle side length. For Example calculation can see on picture below: For your excercise please do the following problem: Calculate the length of the hypotenuse if the lenght elbow side 6 and 8? Calculate the length of one side of the elbow if the length of the hypotenuse = 10 and the other 4?
Read more