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Concept explainers
Removable discontinuities Show that the following functions have a removable discontinuity at the given point. See Exercises 95–96.
98.
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Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
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- Pls help ASAP.arrow_forwardIn Exercises 11–18, graph each function by making a table of coordinates. If applicable, use a graphing utility to confirm your hand-drawn graph. 11. f(x) = 4" 13. g(x) = ()* 15. h(x) = (})* 17. f(x) = (0.6) 12. f(x) = 5" 14. g(x) = () 16. h(x) = (})* 18. f(x) = (0.8)* %3!arrow_forwardPls help ASAParrow_forward
- In 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_forwardLet functions f(x) = [x] g(x) = [x] %3D 7. (gof) %3D 3.arrow_forwardSelect the function that is O(2n)?arrow_forward
- which rule is broken if multiplying f(x) by c gives the function f (cx)? keep the usual addition f(x)+g(x).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_forwardWhich of the following functions are increasing throughout their domains? Select all that apply. A. f(x)=x²+2 C. f(x) = -x³ E. f(x) = 3x +4 B. f(x) = -4x D. f(x)=x³+2arrow_forward
- **See attachment but only question D.arrow_forwardThe 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_forward
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