In Problems 7–12, find the median.
11.
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- In Problems 11–18, match each graph to its function. A. Constant function E. Square root function B. Identity function F. Reciprocal function C. Square function G. Absolute value function D. Cube function H. Cube root function 11. 12. 13. 14. 15. 16. 17. 18.arrow_forwardIn Problems 31–42:(a) Find the domain of each function. (b) Locate any intercepts. (c) Graph each function.(d) Based on the graph, find the range. (e) Is f continuous on its domain?arrow_forwardIn Problems 47–52, find functions f and g so that f ∘ g = H.arrow_forward
- If ƒ = {(1, − 1), ( − 3, ¹), the following values of f and g. a. f(1) b. g(2) = c. g = 3 9 (²1) 4 d. f(2) e. g( − 3) = = f. f(T) = (2, , (2, 1), (5, 1)} = and g = Preview = {(2, -1), − 1), ( – 3, − 2), (³, − ¹)}, 1 find each ofarrow_forwardIn Problems 23–30, use the given zero to find the remaining zeros of each function.arrow_forward1. In the figure below, find the number(s) "c" that Rolle's Theorem promises (guarantees). 10 For Problems 2–4, verify that the hypotheses of Rolle's Theorem are satisfied for each of the func- tions on the given intervals, and find the value of the number(s) "c" that Rolle's Theorem promises. 2. (a) f(x) = x² on |-2, 2 (b) f(x) = x² =5x +8 on [0,5] 3. (a) f(x) = sin(x) on [0, 7] (b) f(x) = sin(x) on [A,57]| 4. (a) f(x) = r-x+3 on | 1,1] (b) f(x) = x cos(x) on (0, [0, 1arrow_forward
- In Problems 33–44, determine algebraically whether each function is even, odd, or neither. 34. f(x) = 2x* –x? 38. G(x) = Vĩ 33. f(x) = 4x 37. F(x) = V 35. g(x) = -3x² – 5 39. f(x) = x + |x| 36. h (х) — Зx3 + 5 40. f(x) = V2r²+ 1 x² + 3 -x 42. h(x) =- 1 2x 44. F(x) 41. g(x) 43. h(x) x2 - 1 3x2 - 9arrow_forward5. For which values of a and b the following function is continuous at x=-2 3x + a x -2arrow_forwardIn Problems 85–90, use the Intermediate Value Theorem to show that each function has a zero in the given interval. Approximate the zerocorrect to two decimal places.arrow_forward
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell