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)?

A. Domain: All Real Numbers
Range: C>5,000

B.domain: all real numbers
Range: C>2,500

C.domain: J>0
Range:C>5,000

D.domain:j>0
range:C>2,500

Answer 1

Option D

Explanation:

From the graph we find that the graph runs only in the I quadrant.

Hence x,y are positive only

Next is y intercept = 2500 and y increases continuously after that.

This implies y >=2500

Hence range is C>2500

Domain is the no of jars of peanut butter.

Hence j>0

In other words, 2500 is the fixed cost even when there is no production and cost cannot be less than 2500 at any time.

Production can be any number of jars from 0 onwards.

Hence option D