Concept explainers
To find the domain and range of the relation and check if the relation is function or not.

Answer to Problem 29PPE
Domain:
Range: {2.3,6,9.7,13.4}
Explanation of Solution
Given:
A bird feeder will hold up to 3 quarts of seed. The feeder weighs 2.3 pounds when empty and 13.4 pounds when full.
In order to find the domain and range, first establish a relation between them.
As it is mentioned, when there is no quartz of seed in the bird feeder, the bird feeder weighs 2.3 pounds and when there is 3 quarts of seeds, the bird feeder weighs 13,4 pounds when full.
So, by using
3 quarts of seed
1 quart of seed
This means for every quarts there will be a rise of 3.7 pounds.
So the relation will be: Weight of bird feeder = 2.3 + (3.7
Now, the tabulated data is:
Domain (Quarts of seed) | Range (Weight of bird feeded in pounds) |
0 | 2.3 |
1 | |
2 | |
3 |
Graph:
Now, draw a graph by using above table of values.
x-axis represents the Quarts of seed.
y-axis represents the Weight of bird feeded in pounds.
In order to check if a relation is a function or not, vertical line method is applied.
If a vertical line can be drawn through the graph and the line meets the graph at only one point, the function is said to be one to one.
When a vertical line is drawn through this graph, it cuts the graph at only one point. It is clear that all the values of x in the domain has a unique value of y.
Hence, it can be concluded that above relation is a function.
Conclusion:
Therefore, given relation is a function and
Domain:
Chapter 1 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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