Answer
False.
Work Step by Step
A function is a correspondence between a first set, called the domain, and a second set, called the range, such that each member of the domain corresponds to exactly one member of the range.
The graph of a function contains points (x, f(x)).
For any value of x from the domain, there is exactly one y=f(x) from the range
Having second coordinates equal does not violate the condition
that each x has EXACTLY ONE corresponding y.
As far as we know,
x=9 is awarded exactly one value, y=5
x=7 is awarded exactly one value, y=5.
No contradictions here, so they could be points on a graph of a function.
The statement is false.