Q:

Mark all the statements that are true. A. This graph is a function whose range is the set {3}. B. The equation of this line is x = 3. C. This graph is a function whose domain is the set {3}. D. This graph is not a function because the value x = 3 is assigned to more than one y-value. E. This graph is a function because the value of x is the same for every value of y.

Accepted Solution

A:
B and D are the only true statements.

A function is a relation for which each value from the set of the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair. Alternatively, you can think of this as for each x, there is one and only one y. Clearly that is not the case here, but it is the equation of the vertical line [tex]x = 3[/tex].