The parent function of this graph is f(x) = x³. the domain and range of the parent function is all real numbers for both aka (-∞, ∞) in interval notation. there isn't a number you could plug in for x that would give you back an error for this equation. Look at the graph. the range is clearly from (-∞, ∞), as the ends of the function extend in both directions--positive and negative y values--infinitely. as for the domain, it's still (-∞, ∞) or all real numbers. there don't appear to be any cut-offs or limitations with the x-values either. the domain and range of the of the parent function is the same as the function shown on the graph.
