Example 15: Example 15: Define the real valued function f: R-o→R defined by fx=1x, x∈R-0 Complete the - Maths - Relations and Functions

Question

Example 15:

Example 15: Define the real valued function f :   R - o →
R   defined   by   f x = 1 x ,   x ∈ R - 0
Complete the Table given below using this definition What is the
domain and range of this function ?

x
-2
-1 5
-1
-0 5
0 25
0 5
1
1 5
2

y = 1 x

Neha Sethi · Accepted Answer

Dear student
The completed table is given by :

x
-2
-1 5
-1
-0 5
0 25
0 5
1
1 5
2

y=1/x
-0 5
-0 67
-1
-2
4
2
1
0 67
0 5

The domain is all real numbers except 0 and its range is also all
real numbers except 0 The graph of f is given below:
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5aeebc1142a85%20png"
style="width: 407px; height: 403px;">
Regards

x	-2	-1.5	-1	-0.5	0.25	0.5	1	1.5	2
$y = \frac{1}{x}$	...	...	...	...	...	...	...	...	...

x	-2	-1.5	-1	-0.5	0.25	0.5	1	1.5	2
y=1/x	-0.5	-0.67	-1	-2	4	2	1	0.67	0.5

Example 15: Example 15: Define the real valued function f : R - o → R defined by f x = 1 x , x ∈ R - 0 . Complete the Table given below using this definition. What is the domain and range of this function ? x -2 -1.5 -1 -0.5 0.25 0.5 1 1.5 2 y = 1 x ... ... ... ... ... ... ... ... ...