Concept explainers
To compare the graphs of the same equation with two different domains
Explanation of Solution
Given:
The given equation is:
When domain is
Calculation:
The range is:
And hence the ordered pair will be:
Graph:
Now when domain is :
Range will be :
Graph:
Comparison:
(1
2
When both the graphs are compared it can be concluded that both graph represent the same equation but there is difference of domain which creates the difference in Range. When the first graph is super imposed with the other graph, there is no difference can be seen as because the ordered pairs on the first graph will also be the ordered pair of second graph. In simple words it can be said that the ordered pair of first graph is the subset of the second graph.
Conclusion:
Graph (1) is the subset of graph (2).
Chapter 3 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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