Everything Maths Grade 10

1.Words: “The relationship between two variables is such that one is always 5 less than the other.”

2.Mapping diagram:

0 x 5

5

 3

 5

0

 8

Input: Function: Output:

3.Table:

Input variable(x)  3 0 5

Output variable(y)  8  5 0

4.Set of ordered number pairs:(3;8),(0;5),(5; 0)

5.Algebraic formula:f(x) =x 5

6.Graph:

 3  2  1 1 2 3 4 5

 8

 7

 6

 5

 4

 3

 2

 1

1

(5; 0)

(0;5)

(3;8)

x

y

Domain and range EMA47

The domain of a function is the set of all independentx-values from which the function produces a single
y-value for eachx-value.

The range is the set of all dependenty-values which can be obtained using an independentx-value.

Exercise 6 – 1:

1.Write the following in set notation:

a) (1; 7] b)[13; 4) c) (35; 1 ) d)[^34 ; 21) e) [^12 ;^12 ] f)(

p

3; 1 )

2.Write the following in interval notation:

a) fp:p 2 R; p 6 g b)fk:k 2 R; 5 < k < 5 g

c)

{

x:x 2 R; x >^15

}

d)fz:z 2 R; 21 x < 41 g

3.Complete the following tables and identify the function.

a)

x 1 2 3 4 5 6

y 5 10 20

b)

x 1 3 4 6

y 5 5 5 5

148 6.1. Introduction