Question

The table shows data collected to represent the functional relationship between the number of hours an auto factory is open and the number of cars produced.

Hours. x | Cars. y

3 | 75

5 | 125

7 | 175

9 | 225

11 | 275


What is the domain of the function represented by the table?

all real numbers

x > 0

{3, 5, 7, 9, 11}

{75, 125, 175, 225, 275}

Answer 1

B: x ≥ 0

Explanation:

All real numbers: This is wrong, because you can’t have -2 hours, right?

x ≥ 0: Technically, you can have 2.25 hours, so anything above 0 would be accurate to the table.

{3, 5, 7, 9, 11}: While this may be what’s on the table, you could have more hours than just 3, 5, 7, 9, 11 (I got this wrong on Edgenuity that’s how I know).

{75, 125, 175, 225, 275}: This would be the range, since its the y values.

Answer 2

{3, 5, 7, 9, 11}

Explanation:

Domain of a function is the set of all the allowable values that can be used as an input to the function. In easy words, we can just say this: The set of all the inputs to a function comprises the Domain of the function.

Domain consists of the values of independent variable on which some other variable depends and give some output result. From the given table we can see that there are two variables: Number of hours(x) and the Cars Produced(y).

Number of cars produced depend on the number of hours the auto factory remains open. So, number of hours is the independent or the input variable and all the values of this variable will form the Domain of the function represented by the table.

So, the Domain of the function is: {3, 5, 7, 9, 11}