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Removable discontinuities Show that the following functions have a removable discontinuity at the given point. See Exercises 95–96.
97.
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Calculus: Early Transcendentals (3rd Edition)
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- Nath 1314 Lab Module 1 -3x+5 if x<1 10. For the function f(x) = %3D Vx-1 if x21 a. Evaluate f(-1) b. Evaluate f(1) c. Evaluate f(0) -9 -8 -7 -6 -5-4 -3 -2 d. Evaluate f(5) e. Graph the function.arrow_forwardwhich rule is broken if multiplying f(x) by c gives the function f (cx)? keep the usual addition f(x)+g(x).arrow_forwardIn Exercises 45–52, find the domain and range of the function. 45. f(x) — —х 46. g(t) = t4 47. f(x) = x³ 48. g(t) = /2 – t 49. f(x)= |x| 50. h(s) %3D 1 51. f(x) = 52. g(t) = x2arrow_forward
- The annual number of cars and trucks sold by a dealership can be modeled by the functions given below where x is the number of years since 2000. Fi Cars sold: c(x) =1.118x³ – 22.1492x +95.2693x +1210.7673 Trucks sold: t(x)=1.5964x³ - 36.4112x +200.5798x+476.9031 56. Write a function, T(x), that models the total annual number of cars and trucks sold. A) T(x)=2.7144x³ – 58.5604x² +295.8491x +1687.6704 6. B) T(x) =0.4784x³ –14.262x +105.3105x-733.8542 C) T(x) =2.7144x – 58.5604x² +105.3105x +733.7642 Cho D) T(x)=-0.4784x° +14.262x² – 105.3105x +733.8642 A) { 57. Write a function, D(x), that models how many more cars than trucks were sold annually. AB) A) D(x)=2.7144x³ +58.5604x +295.8491x +1687.6704 B) D(x) =0.4784x' -14.262x? +105.3105x -733.8642 C) D(x)=2.7144x³ – 58.5604x² +105.3105x+733.7642 Fi D) D(x)=-0.4784x³ +14.262x² – 105.3105x+733.8642 58. According to the model, how many cars and trucks were sold in 2009? (Round to nearest whole number.) 6. 59. According to the model, how many…arrow_forwardIs the function f(x) = 9x² + 4x – 2 linear, quadratic, or exponential? %3D | A. Linear B. Quadratic C. Exponential 2022 International Academy of Science. All Rights Reserved.arrow_forwardSuppose f and g are the piecewise-defined functions defined here. For each combination of functions in Exercises 51–56, (a) find its values at x = -1, x = 0, x = 1, x = 2, and x = 3, (b) sketch its graph, and (c) write the combination as a piecewise-defined function. f(x) = { (2x + 1, ifx 0 g(x) = { -x, if x 2 8(4): 51. (f+g)(x) 52. 3f(x) 53. (gof)(x) 56. g(3x) 54. f(x) – 1 55. f(x – 1)arrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
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