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function_xtra_question - Homework Assignment 1 Inverses...

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Homework Assignment 1 – Inverses Find the inverse of each relation and determine whether the inverse is a function. Answer (A) if the inverse IS a function or answer (B) if the inverse is NOT a function. 1. {(2, 4), (– 3, 1), (2, 8)} 2. {(– 1, – 2), (– 3, – 2), (–1, – 4), (0, 6)} 3. {( 1, 3), (1, – 1), (1, –3), (1, 1)} 4. {(6, 11), (– 2, 7), (0, 3), (– 5, 3)} Determine whether the given function is one-to-one . Answer (A) if the function IS a one-to-one or answer (B) if the function is NOT one-to-one. 5. y = 6 6. y = 4x 7. f(x) = 4x + 4 8. g(x) = ½ x + 2 9. f(x) = x 3/5 10. g(x) = x 4/5 – 2 11. y = x 2 – 9 12. y = (x – 9) 2 13. f(x) = 14. y = x 2 + 1 15. y = (x – 4) 3 16. y = (x + 2) 5 – 3 Determine whether the given functions are strictly monotonic . Answer (A) if the function IS a strictly monotonic or answer (B) if the function is NOT strictly monotonic. 17. f(x) = x 3 – 3 18. f(x) = 4x – 8 19. f(x) = 5x + 20 20. f(x) = (x + 1) 2 21. f(x) = 22. f(x) = x 2 – 3 Answer the following: 23. The function is invertible. Give . a. -1 b. 0 c. 1 d. 1/2 e. None of these.
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