i Cont x @ Class X Q math x 3 MAT X MATI X Cour X C Cheg x Less( X M Inbo: X * [Solv X |Q dy/d X Q MAT X |* MATIX Q LEFT X + X C @ https://www.studocu.com/en-au/document/university-of-western-australia/mathematics-foundations-specialist/math1722-final-exam-2022-01-2211... Sign in . . . I V Draw 2 | | Read aloud + 3 of 51 2 | ED Q | 6 91 2. Consider the function 7-3 y = 3 - O + a) Find the domain of the function y = f(x). [1 mark] b) Find the point(s) where the function y = f(x) intersects the r-axis and the y-axis. [1 mark] c) Show that dy x2 (9 - x2) d'y 6x (9+ x2) dx (3 - 2 2)2 and dx2 (3 - 22)3 [4 marks] d) Locate and classify the critical points of the function y = f(x). [4 marks] e) Locate any inflection points of the function y = f(x). (2 marks] f) Find the limits of the function y = f(x) as x -> too. [Hint: Use L'Hospitals rule.] (2 marks] g) Find the limits of the function y = f(x) as x -> (-V3) , x -> (-V3), x - (V3) and x -> (v3) [3 marks] 9. C 2:24 AM Partly cloudy Q Search ENG US 18/07/2023 3