Question

The graph shows the temperature over a period of time of a chemical compound that is placed in a cold chamber. What is the domain of this function?

Graph showing a line segment that goes from ordered pairs 0, 20 to 35, negative 10
A.The domain is all real numbers 20 through negative 10.
B.The domain is all integers from 20 through negative 10.
C.The domain is all real numbers 0 through 35.
D.The domain is all integers from 0 through 35.

Answer 1

Option C.

Explanation:

Domain is the set of inputs or x-values.

Range is the set of outputs or y-values.

It is given that a line segment passes through the points (0,20) and (35,-10).

The line shows the temperature over a period of time of a chemical compound that is placed in a cold chamber.

It means the value x is all real numbers from 0 to 35.

Domain =
`\x\in R, 0\le x\le 35\`

It means the value y is all real numbers from -10 to 20.

Range =
`\y\in R, -10\le y\le 20\`

The domain is all real numbers 0 through 35. Therefore, the correct option is C.

Answer 2

Option: C is the correct answer.

C.The domain is all real numbers 0 through 35.

Explanation:

We know that the domain of a function is the set of all those values or the x-values in which the function is well defined.

We are given a graph as a line segment that goes from ordered pair (0,25) to (35,10).

Hence, here the x-value denote the time and the y-value denote the temperature over the time 'x'.

Hence, we could check the temperature at any time between 0 to 35.

Hence, the domain will be:

The domain is all real numbers 0 through 35.