D |7 c| Bb 5 | 2 c| Bb * ! | Bb S | Bb * | / u | Q u | d N/ Q Li | Q N| Q n | Q c | A A | A A | Q s | Q u| Qs c | Q u | { N| Q a| Q a| Q r S N M X D * Q y M ME N + X C @ https://www.studocu.com/en-au/document/university-of-western-australia/mathematics-foundations-specialist/math1722-final-exam-2022-01-2211... Q Sign in . . . I V Draw ~ 2 | |Read aloud + 3 of 51 2 | ED Q | 6 97 2. Consider the function 2-3 y = 7 3- 22 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) 6.x (9 + 2) d.x (3 - 2:2)2 and dx2 (3 - 12)3 [4 marks] d) Locate and classify the critical points of the function y = f(2). [4 marks] e) Locate any inflection points of the function y = f(x). [2 marks] f) Find the limits of the function y = f(r) 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 - (3) and x -> (v3) [3 marks] h) Using your results from Parts a to g, draw a sketch of the function y = f(x). [4 marks] 12.C Q Search W ENG 12:57 AM Mostly cloudy US 3/07/2023