Question

1.  What is the domain of the function below?
 {(0, 2), (3, 1), (5, 2), (8, 4)}?
(1 point)
{1, 2, 4}
{0, 3, 5, 8}
{0, 1, 2, 3, 4, 5, 8}
{(0, 2), (3, 1), (5, 2), (8, 4)}
2.  Is the following relation a function? {(0.3, 0.6), (0.4, 0.8), (0.3, 0.7), (0.5, 0.5)} (1 point)
yes
no
cannot be determined

Answer 1

Question 1:

The domain of a function is defined as the input values of the function. Conventionally, they are the values of the x-coordinates of the function.

Therefore, the domain of the given function would be the x-values of the given points.

This means that:

domain is : {0 , 3 , 5 , 8} ................> option B

Question 2:

For a relation to be a function, each x-value should have one and only one corresponding y-value. Otherwise, it won't be a function.

In the given, we can note that x = 0.3 has two y-values (0.6 and 0.7), therefore, this relation is not a function ...........> option B

Hope this helps :)

Answer 2

The correct answers are:

#1) {0, 3, 5, 8}; and

#2) no

Explanation:

The domain of a relation is the set of x-coordinates. The x-coordinate of the first ordered pair is 0; of the second ordered pair is 3; of the third ordered pair is 5; and of the last ordered pair is 8. This makes the set {0, 3, 5, 8} for the domain.

A relation is a function if each x-coordinate is mapped to 1 y-coordinate. In this relation, however, we have an x-coordinate that is mapped to more than 1 y-coordinate. 0.3 is mapped to both 0.6 and 0.7; this means the relation is not a function.