Chapter ISG, Problem 1.6.1P

a.

To determine

To write the domain and range for the relation

Answer to Problem 1.6.1P

Domain is $(5.5,3,3,8,2)$

Range is

  $(4.5,0.5,2,4.5,0.5)$

Explanation of Solution

Given information:

Length and weight: $\{(5.5,4.5)(3,0.5)(3,2)(8,4.5)(2,0.5)\}$

Calculation:

The domain is the set of all values of x, hence domain is $(5.5,3,3,8,2)$

The range is set of all values of y, hence range is $(4.5,0.5,2,4.5,0.5)$

b.

To determine

To explain what are independent variables

Answer to Problem 1.6.1P

The answer is as follows

Explanation of Solution

Given information:

Dependent and independent variables

A variable whose value is dependent upon value of another variable is called dependent variable.

A variable whose value doesn’t depend upon the value of any variable is independent variable.

For example,

  $y=3x+2$

y is dependent variable as its values depends upon value of another variable.

xis independent variable as it doesn’t depend upon any variable.

c.

To determine

To complete the table, mapping and graph

Answer to Problem 1.6.1P

Explanation of Solution

Given information:

Length and weight: $\{(5.5,4.5)(3,0.5)(3,2)(8,4.5)(2,0.5)\}$

Calculation:

Table:

x	Y
$5.5$	4.5
3	0.5
3	2
8	4.5
2	0.5

Map:

Domain 5.5 3 3 8 2

Range 4.5 0.5 2 4.5 0.5

Graph:

  

d.

To determine

To tell the snakes having same weight

Answer to Problem 1.6.1P

From the graph it can be seen that snakes having length 5.5, 8 are of same weight and snakes having length of 3, 2 are of same weight.

Explanation of Solution

Given information:

Length and weight: $\{(5.5,4.5)(3,0.5)(3,2)(8,4.5)(2,0.5)\}$

From the graph it can be seen that snakes having length 5.5, 8 are of same weight and snakes having length of 3, 2 are of same weight.

e.

To determine

To observe and explain the statement

Answer to Problem 1.6.1P

The weight of snakes are same.

Explanation of Solution

Given information:

Length and weight: $\{(5.5,4.5)(3,0.5)(3,2)(8,4.5)(2,0.5)\}$

Calculation:

From the given graph, if two points which lie on vertical line on the graph, it means that the snakes are of same weight.