Question

A. Identify the parent function of the given graph.

Answer 1

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.

Answer 2

The question is asking to calculate the parent function of the said graph in the question and base on my calculation and further analysis, the answer would be that the parent function is  y = x^2, I hope you are satisfied with my answer and feel free to ask for more if you have questions and further clarifications