To solve this question, let's evaluate each statement.
A. The domain for this function is the set {3}
The domain is the set of all possible input values (x-values). As can be seen, x can assume any real number.
So, the statement is false.
B. All real numbers are in the range of this function.
The range is the set of all possible output values (y-values). As can be seen, y can assume only the value of 3.
So, the statement is false.
C. The domain for this function is all real numbers.
As explained in statement A, it is true.
D. This graph is not a function because the value of y is the same for every value of x.
To be a function, every x-value has to have only one output. However, the different inputs may have the same output.
So, the statement is false.
E. The range for this function is the set {3}.
As explained in statement B, it is true.
Answer:
Statements C and E are true.