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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.

We have to find the domain and range of the relation and then we have to check if the relation is a function or not.

To the domain and the range, we will first establish a relation between them.

Given that:

1. When there is no quartz of seed in the bird feeder then the bird feeder weighs 2.3 pounds
2. When there are 3 quarts of seeds then the bird feeder weighs 13.4 pounds when full.

Now we use the unitary method,

3 quarts of seed weights $(13.4−2.3)=11.1$pounds

1 quart of seed weight 3.7 pounds

So, for every quart, the weight will rise by 3.7 pounds.

So, the required relation is: Weight of the bird feeder = 2.3 + (3.7 quarts of seed)

Now, the tabulated data is:

We will now draw a graph by using the above table of values.

x-axis = the Quarts of seed.

y-axis = the Weight of bird feed in pounds.

To check if a relation is a function or not we will use the vertical line method.

If we draw a vertical line through the graph and if the line cuts the graph at only one point, then the function is said to be one to one.

For this graph vertical line cuts the graph at only one point. So, it means that all the values of x in the domain have a unique value of y.

Therefore, we can conclude that the above relation is a function and the Domain is given by $\left\{0,1,2,3\right\}$and the Range role="math" localid="1642398002813" $\left\{2.3,6,9.7,13.4\right\}$.