Question

Keira created color panels for a wall using a mix of only red and blue paints. She plotted the quantities of red and blue paints used for each mix and connected them using a line segment, as shown in the graph below:

A line graph titled Color Mix, with Quantity of Blue Paint, in millimeters, on the X axis and Quantity of Red Paint, in millimeters, on the Y axis. The X axis has a scale from 0 to 9 with an increment of 1. The Y axis has a scale of 0 to 18 in increments of 2. A straight line connecting 3, 2 and 7, 12 is drawn.

Which statement best describes the domain of the function represented in the graph?

3 ≤ x ≤ 12 or x is between 3 and 12, inclusive
3 ≤ x ≤ 7 or x is between 3 and 7, inclusive
2 ≤ x ≤ 12 or x is between 2 and 12, inclusive
2 ≤ x ≤ 7 or x is between 2 and 7, inclusive

Answer 1

3 ≤ x ≤ 7 or x is between 3 and 7, inclusive

Answer 2

The correct option is 2.

Explanation:

It is given that a line graph titled Color Mix, with Quantity of Blue Paint, in millimeters, on the X axis and Quantity of Red Paint, in millimeters, on the Y axis.

The X axis has a scale from 0 to 9 with an increment of 1. The Y axis has a scale of 0 to 18 in increments of 2.

It is given that the line connecting (3,2) and (7,12).

Domain is the set of all possible inputs. In a graph, domain is all possible values of x for which the graph is defined.

Since the graph is defined from 3 to 7, therefore the domain of the line graph is 3 ≤ x ≤ 7.

So, the second option is correct.