Question

Give the domain and range of the relation.

D: {−2, −1, 0, 1}
R: {0, 1, 2}

D: −2 ≤ x ≤ 1
R:0 ≤ y ≤ 2

D: {0, 1, 2}
R: {−2, −1, 0, 1}

D: 0 ≤ x ≤ 2
R: −2 ≤ y ≤ 1

Answer 1

Please check the explanation.

Explanation:

Finding Domain:

We know that the domain of a function is the set of input or argument values for which the function is real and defined.

From the given graph, it is clear that the starting x-value of the line is x=-2, the closed circle at the starting value of x= -2 means the x-value x=-2 is included.

And the line ends at the x-value x=1 with a closed circle, meaning the ending value of x=1 is also included.

Thus, the domain is:

D: {-2, -1, 0, 1} or D: −2 ≤ x ≤ 1

Finding Range:

We also know that the range of a function is the set of values of the dependent variable for which a function is defined

From the given graph, it is clear that the starting y-value of the line is y=0, the closed circle at the starting value of y = 0 means the y-value y=0 is included.

And the line ends at the y-value y=2 with a closed circle, meaning the ending value of y=2 is also included.

Thus, the range is:

R: {0, 1, 2} or R: 0 ≤ y ≤ 2