Is it a function and whats the domain and range for the picture below?

It's not a function.

Domain: {-3, 0, 3, 4}

Range: {-4, -2, 1, 2, 4}

Step-by-step explanation:

The graph does not represent a function because there are two points that are stacked vertically one above the other, (-3, 1) and (-3, 4) -- assuming the squares are each worth 1 unit.

That means that the number -3 for  x  is paired with two different values for  y.  A function does not do that; each  x  is paired with exactly one  value of  y.

The domain (set of x values) is {-3, 0, 3, 4}

The range (set of y values) is {-4, -2, 1, 2, 4}