Is the following relation a function?
{(0.3,0.6),(0.4,0.8),(0.3,0.7),(0.5,0.5)}
a. yes
b. no
c. cannot be determined***
To determine if the given relation is a function, we need to check if each input (x-value) has only one corresponding output (y-value).
Let's examine the relation:
{(0.3,0.6),(0.4,0.8),(0.3,0.7),(0.5,0.5)}
The input value 0.3 appears twice in the relation, with different output values (0.6 and 0.7). Since one input value has multiple corresponding output values, the relation is not a function.
So the correct answer is b. no.
To determine whether the relation {(0.3,0.6),(0.4,0.8),(0.3,0.7),(0.5,0.5)} is a function, we need to check if each input value (0.3, 0.4, 0.3, 0.5) has a unique output value (0.6, 0.8, 0.7, 0.5).
In this relation, the input value 0.3 is associated with two different output values, 0.6 and 0.7. Therefore, this relation is NOT a function.
The correct answer is b. no.
1.No
3.D 2 1/16
2.C 2,744
4.D
5C