Need help with this, need an explaination so that I can also understand

Thank you

(a) Calculate both one-sided limits at x = 2 where the function x2 + x - 6 f (a) = is undefined. |x - 21 (b) Is it possible to define f at x = 2 to make f (x) continuous everywhere? Explain.Given the function f(x) = 24 - 6x2. (a) Find the domain of f(x), check for symmetry, and also find asymptotes (if any). (b) Calculate f'(x) and use it to determine intervals where the function is increasing, intervals where it is decreasing, and the local extrema (if any). (c) Calculate f"(x) and use it to determine intervals where the function is concave upward, intervals where the function is concave downward, and the inflection points (if any). (d) Sketch the graph of the function f(x) using the information obtained above