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