For the given graph, we have that:
a) It is not a function.
b) The function is discrete.
c) The domain is {-5,2} and the range is all real values.
When does a graph represents a function?
A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y.
For this problem, we can see that it is not a function, as the values of x = -5 and x = 2 are mapped to multiple values of y.
When a function is discrete and when it is continuous?
- A function is discrete when it is defined for only integer values of x.
- A function is continuous when it is defined for real values of x.
For this problem, the function is defined only for x = -5 and x = 2, which are integer values, hence it is a discrete function.
What are the domain and the range of a function?
- The domain of a function is the set that contains all possible input values for the function. Hence, in a graph, it is the set that contains the values of x.
- The range of a function is the set that contains all possible output values for the function. Hence, in a graph, it is the set that contains the values of y.
Thus, the domain is {-5,2} and the range is all real values.
More can be learned about functions at https://brainly.com/question/24808124
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