Asked by Alivia Thomas on Apr 29, 2024
Verified
Find the domain and the range of the relation {(0,0) ,(7,−7) ,(5,12) ,(9,9) ,(10,9) }\{ ( 0,0 ) , ( 7 , - 7 ) , ( 5,12 ) , ( 9,9 ) , ( 10,9 ) \}{(0,0) ,(7,−7) ,(5,12) ,(9,9) ,(10,9) } .
A) Domain: {5,7,9,10}\{ 5,7,9,10 \}{5,7,9,10} ; Range: {−7,9,12}\{ - 7,9,12 \}{−7,9,12}
B) Domain: {−7,0,9,9,12}\{ - 7,0,9,9,12 \}{−7,0,9,9,12} ; Range: {0,5,7,9,10}\{ 0,5,7,9,10 \}{0,5,7,9,10}
C) Domain: {0,5,7,9,10}\{ 0,5,7,9,10 \}{0,5,7,9,10} ; Range: {−7,0,9,12}\{ - 7,0,9,12 \}{−7,0,9,12}
D) Domain: {−7,0,9,12}\{ - 7,0,9,12 \}{−7,0,9,12} ; Range: {0,5,7,9,10}\{ 0,5,7,9,10 \}{0,5,7,9,10}
E) Domain: {5,7,9,10}\{ 5,7,9,10 \}{5,7,9,10} ; Range: {−7,9,9,12}\{ - 7,9,9,12 \}{−7,9,9,12}
Domain
The domain of a function is the complete set of possible values of the independent variable for which the function is defined.
Range
The difference between the highest and lowest values in a set of numbers.
- Calculate and understand the domain and range of a relation.
Verified Answer
NA
Nazifa Ali JumaMay 01, 2024
Final Answer :
C
Explanation :
To find the domain, we look at the first coordinate of each ordered pair, which gives us $\{ 0, 5, 7, 9, 10 \}$. To find the range, we look at the second coordinate of each ordered pair, which gives us $\{ -7, 9, 12 \}$. So the correct choice is $\boxed{\textbf{(C)}}$.
Learning Objectives
- Calculate and understand the domain and range of a relation.