Given the linear function graphed above, indicate the domain and range of the function.

A. D = { -1, 2, 3.5, 5, 6 } R = { 1 , 2, 3, 4 , 5, 10 }
B. D = {-1 ≤ x ≤ 3 } R = { -10 ≤ y ≤ 10 }
C. D = { all real numbers }   R = {all real numbers }
D. D = { 0, 1, 2 , 3, 4, 5}  R = {-9, 4, 2, 0, 1 }

A
Incorrect. This discrete set only lists part of the domain and range.

B
Incorrect. The interval notation is an incomplete set for the domain and range.

C
Correct! Both the domain and range include all real numbers.

D
Incorrect. This is a discrete set.


Given the graph of the function graphed above, name the domain and range in set notation.

A. D = { all real numbers }   R = {all real numbers }
B. D = {-4 ≤ x ≤ 4 } R = { -5 ≤ y ≤ 5 }
C. D = { all real numbers }   R = { y ≥ -2 }
D. D = { x / x ≥ -5 }  R = { all real numbers }

A
Incorrect. Both are infinite sets but range has a constraint at the vertex.

B
Incorrect. The graph does not show all of the possible values for the domain and range.

C
Correct! The range includes all real numbers and the range includes values greater than or equal to -2.

D
Incorrect. You reversed the domain and range.


Given the graph above, name the domain and range in set notation.

A. D = { -8, -4, -2, 5, 7, 8 } R = { -3, 0, 2, 6 }
B. D = { all real numbers }   R = {all real numbers }
C. D = { -8 ≤ x ≤ 8 }  R = {-3 ≤ y ≤ 6 }
D. D = { -8,-7,-6…} R = { -3, -2, -1,…}

A
Correct! The domain and range only includes the x and y values at those points.

B
Incorrect. This is not a continuous function.

C
Incorrect. The domain and range only have discrete members.

D
Incorrect. The domain and range only have discrete members.


Given the graph of the function graphed above, name the domain and range in set notation.

A. D = { all real numbers }   R = {all real numbers }
B. D = { -10 ≤ x ≤ 10 }  R = {-5 ≤ y ≤ -7 }
C. D = { -5 ≤ x ≤ -7 }  R = {-10 ≤ y ≤ 10 }
D. D = { all real numbers } R = { -6 ≤ y ≤ -4 }

A
Incorrect. Only the domain is all real numbers. The range has constraints.

B
Incorrect. The domain has no constraints.

C
Incorrect. The domain and range are reversed and have incorrect values.

D
Correct! The domain is all real numbers and the range has constraints at -6 and -4.