No, this is not a function. A function is a mathematical object that takes one input and maps it to a single output. For example, the function $f(x)=x^2$ takes a single input number $x$ and outputs the square of that number. A function has the property that for each input there is a unique output. In contrast, the set of points (5, 7), (8, 9), (4, -5), (1, 2), (6, 9) is a set of points, which does not have a single input for each output. Therefore, it does not meet the definition of a function.