Question

At a peanut butter factory, the daily production cost, C, for j jars of peanut butter is modeled by the graph below. What are the domain and range of the function C(j)?

Answer 1

I don't see the graph — could you upload it or describe the key points (leftmost and rightmost j-values shown and the lowest and highest C-values)?

Meanwhile, here's how to get the answer from the graph:

- Domain: look at the horizontal extent of the graph (the j-axis). The domain is the set of j-values that have a point on the graph. If the graph starts at j = a and ends at j = b and includes those endpoints, the domain is [a, b]. If endpoints are not included, use parentheses. Note: physically j is number of jars, so you might be expected to treat the domain as integers (0, 1, 2, ...), or as a continuous interval if the model allows fractional production.

- Range: look at the vertical extent of the graph (the C-axis). The range is the set of C-values that appear on the graph (from the minimum C-value reached to the maximum). Again use brackets or parentheses depending on whether the endpoints are included.

Give the graph or the endpoint values and I will give the exact domain and range.