Question

Mercedes created color panels for a wall using a mix of only green and yellow paints. She plotted the quantities of green and yellow paints used for each mix and connected them using a line segment, as shown in the graph.

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

2 ≤ x ≤ 10
2 ≤ x ≤ 18
10 ≤ x ≤ 18
0 ≤ x ≤ 10

Answer 1

`2\leq x\leq10`

Explanation:

we know that

Observing the graph

The domain is the quantity of yellow paint in millimeters

The domain is the interval -----> [2,10]

All real numbers greater than or equal to 2 and less than or equal to 10

therefore

`2\leq x\leq10`

Answer 2

Domain of the function represented in the graph is given by he inequality
`2 \leq x \leq 10`.

Explanation:

We are given the following information in the question:

• The graph shows the plot for quantities of green and yellow paints used for each mix.
• The x-axis shows the quantity of yellow paint used in millimeters.
• The y-axis shows the quantity of green paint used in millimeters.

We have to find a domain for the function shown in the graph.

Domain of a function is basically the set of all values of x for which the function is defined.

If we observe the graph, particularly the x-axis, the plot starts from value 2 and goes upto 10.

So x can take values from 2 to 10.

This can be represented with the help of inequality:

`2 \leq x \leq 10`

Hence, domain of the function represented in the graph is given by he inequality
`2 \leq x \leq 10`.