1-7 Practice Inverse Relations and Functions Graph each function using a graphing calculator or graphing app, and apply the horizontal line test to determine whether its inverse function exists. Write or yes no. = 3|x| + 2 = 1 1. 2. f(x) f(x) – – 3. = 4. = + 9 f(x) f(x) 5. = 6. = 5 f(x) f(x) – 7. = + 6x 4 8. = f(x) f(x) – Determine whether has an inverse function. If it does, find the inverse function and state any restrictions on its f domain. 9. = 10. = f(x) f(x) 11. = 12. = f(x) f(x) 13. = 2x 4 14. = + 2 f(x) f(x) – Show algebraically that and are inverse functions. f g 15. = 2x + 3; = 16. = 6; 0; = f(x) g(x) f(x) x g(x) – ≥ Use the graph of to graph (x). 17. f(x)
1-7 Practice Inverse Relations and Functions Graph each function using a graphing calculator or graphing app, and apply the horizontal line test to determine whether its inverse function exists. Write yes or no. 1. f(x) = 3|x| + 2 2. f(x) = – – 1 3. f(x) = 4. f(x) = + 9 5. f(x) = 6. f(x) = – 5 7. f(x) = + 6x – 4 8. f(x) = Determine whether f has an inverse function. If it does, find the inverse function and state any restrictions on its domain. 9. f(x) = 10. f(x) = 11. f(x) = 12. f(x) = 13. f(x) = 2x – 4 14. f(x) = + 2 Show algebraically that f and g are inverse functions. 15. f(x) = 2x + 3; g(x) = 16. f(x) = – 6; x ≥ 0; g(x) = 17. Use the graph of f(x) to graph (x).
1-7_inverse_relations_and_functions.docx