Is the following relation a function?

((0.3, 0.6). (0.4,0.8), (0.3,0.7), (0.5,0.5))

the answer is yes

no, the same x value of 0.3 has 2 different y values

To determine if the given relation is a function, we need to check if each input (or x-value) has a unique output (or y-value).

In this case, let's separate the input and output values:

Input values (x-values): 0.3, 0.4, 0.3, 0.5
Output values (y-values): 0.6, 0.8, 0.7, 0.5

Now, let's see if any x-value has multiple corresponding y-values.

We can observe that the input value 0.3 has two different corresponding output values, 0.6 and 0.7.

Since the input value 0.3 is associated with more than one output value, this relation is not a function.

To get to this conclusion, it is important to understand the definition of a function: A relation where each input (x-value) has a unique output (y-value). By checking each input and ensuring it has only one corresponding output, we can determine if the relation is a function or not.

Thank you -- I'm a gandparent trying to check my grandson's homework