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Explain, using the theorems, why the function is continuous at every number in its domain. 3/x-9...
Explain why the given function is not a polynomial function Choose the correct answer below O...
Explain why the given function is not a polynomial function Choose the correct answer below O A The function f(x) is not a polynomial function because a polynomial function is a function with degree more than 2 OB. The function f(x) is not a polynomial function because the domain is not (-00,00). The domain of a polynomial function is the set of all real numbers. OC. The function f(x) is not a polynomial function because a polynomial function does not...
3x Determine whether f(x)-is rational is a rational function and state its domain. Is f a...
3x Determine whether f(x)-is rational is a rational function and state its domain. Is f a rational function? OA. Yes O B. No What is the domain of f? Select the correct choice below and, if necessary, fill in the answer box to complete your choice Type an integer or a fraction. Use a comma to separate answers as needed.) Type an integer or a fraction.) (Type an integer or a fraction.) O D. The domain is all real numbers....
Environmental Cost The cost C (in millions of dollars) of removing x percent of the pollutants...
Environmental Cost The cost C (in millions of dollars) of removing x percent of the pollutants emitted from the smokestack of a factory can be modeled by C = 7x 100 - x (a) What is the implied domain of C? (Enter your answer using interval notation.) Explain your reasoning. Since we are removing pollutants, only negative x-values make sense in this context. Negative x-values and values greater than 100 do not make sense in this context. Also, C(100) is...
PROBLEM 2: THE INDICATOR FUNCTION OF THE RATIONAL NUMBERS For a while, it was believed that any given function should be mostly continuous. This is reasonable, given the types of functions one typica...
PROBLEM 2: THE INDICATOR FUNCTION OF THE RATIONAL NUMBERS For a while, it was believed that any given function should be mostly continuous. This is reasonable, given the types of functions one typically sees in Calculus courses, where the worst case scenario involves a function that is defined piecewise and is continuous everywhere, except for some finite set of discontinuities, where the value of the function drops or jumps. It was also believed that every function should be integrable, which...
Find the domain of the function. (Enter your answers as a comma-separated list.) 3 x-2 The...
Find the domain of the function. (Enter your answers as a comma-separated list.) 3 x-2 The domain of f(x) is all real numbers except x = Find the vertical asymptotes and horizontal asymptotes of the function. (Enter your answers as comma-separated lists of equations.) vertical asymptote(s) horizontal asymptote(s) Additional Materials eBook Find the Intercepts, Asymptotes, and Hole of a Rational Function 24. [-/3 Points] DETAILS OSCAT1 5.6.396. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the domain of the function....
(9 points) Give the graph of one and only one function which satisfies all the following...
(9 points) Give the graph of one and only one function which satisfies all the following conditions. 9. Domain of the function [-5,0)u(o,) a. b. The function is continuous on its domain f(-5)- f(5) C. d. lim f(x) 6 lim f(x) e. f.lim f(x)- o g. lim f(x)- x- Explain why the graph of a function which satisfies all these conditions must intercept the x-axis, meaning that there is at least one number c so that f(c)-o.
(9 points) Give...
5. This problem concerns a function , about which the following information is known . fis a differentiable function defined at every real number x. y-f'(x) has its graph given in the m...
5. This problem concerns a function , about which the following information is known . fis a differentiable function defined at every real number x. y-f'(x) has its graph given in the middle picture below S. This problem concerns a function f, about which the following information is f is a differentiable function defined at every real number x. y(x) has its graph given in the middle picture below. Construct a first derivative sign chart for f. Clearly identify all...
At what points is the following function continuous? x#9, x# - 9 x3 + 729 x²...
At what points is the following function continuous? x#9, x# - 9 x3 + 729 x² - 81 - 13.5, f(x)= x = -9 7, x= 9 Choose the correct answer below and, if necessary, fill in the answer box to complete your che O A. At all real numbers except at x = (Use a comma to separate answers as needed.) OB. Only at x = (Use a comma to separate answers as needed.) O C. At all real...
Question 11 pts x(t) is a time domain function. The laplace transform of x(t) is in...
Question 11 pts x(t) is a time domain function. The laplace transform of x(t) is in what domain: s domain none of the above f domain time domain Flag this Question Question 21 pts if X(s) is the Laplace transform of x(t), then 's' is a : real number integer complex number rational number Flag this Question Question 31 pts In a unilateral Laplace transform the integral, the start time is just after origin (0+) just before origin (0-) origin...
Explain why the given function is not a polynomial function Choose the correct answer below O A The function f(x) is not a polynomial function because a polynomial function is a function with degree more than 2 OB. The function f(x) is not a polynomial function because the domain is not (-00,00). The domain of a polynomial function is the set of all real numbers. OC. The function f(x) is not a polynomial function because a polynomial function does not...
3x Determine whether f(x)-is rational is a rational function and state its domain. Is f a rational function? OA. Yes O B. No What is the domain of f? Select the correct choice below and, if necessary, fill in the answer box to complete your choice Type an integer or a fraction. Use a comma to separate answers as needed.) Type an integer or a fraction.) (Type an integer or a fraction.) O D. The domain is all real numbers....
Environmental Cost The cost C (in millions of dollars) of removing x percent of the pollutants emitted from the smokestack of a factory can be modeled by C = 7x 100 - x (a) What is the implied domain of C? (Enter your answer using interval notation.) Explain your reasoning. Since we are removing pollutants, only negative x-values make sense in this context. Negative x-values and values greater than 100 do not make sense in this context. Also, C(100) is...
PROBLEM 2: THE INDICATOR FUNCTION OF THE RATIONAL NUMBERS For a while, it was believed that any given function should be mostly continuous. This is reasonable, given the types of functions one typically sees in Calculus courses, where the worst case scenario involves a function that is defined piecewise and is continuous everywhere, except for some finite set of discontinuities, where the value of the function drops or jumps. It was also believed that every function should be integrable, which...
Find the domain of the function. (Enter your answers as a comma-separated list.) 3 x-2 The domain of f(x) is all real numbers except x = Find the vertical asymptotes and horizontal asymptotes of the function. (Enter your answers as comma-separated lists of equations.) vertical asymptote(s) horizontal asymptote(s) Additional Materials eBook Find the Intercepts, Asymptotes, and Hole of a Rational Function 24. [-/3 Points] DETAILS OSCAT1 5.6.396. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the domain of the function....
(9 points) Give the graph of one and only one function which satisfies all the following conditions. 9. Domain of the function [-5,0)u(o,) a. b. The function is continuous on its domain f(-5)- f(5) C. d. lim f(x) 6 lim f(x) e. f.lim f(x)- o g. lim f(x)- x- Explain why the graph of a function which satisfies all these conditions must intercept the x-axis, meaning that there is at least one number c so that f(c)-o.
(9 points) Give...
5. This problem concerns a function , about which the following information is known . fis a differentiable function defined at every real number x. y-f'(x) has its graph given in the middle picture below S. This problem concerns a function f, about which the following information is f is a differentiable function defined at every real number x. y(x) has its graph given in the middle picture below. Construct a first derivative sign chart for f. Clearly identify all...
At what points is the following function continuous? x#9, x# - 9 x3 + 729 x² - 81 - 13.5, f(x)= x = -9 7, x= 9 Choose the correct answer below and, if necessary, fill in the answer box to complete your che O A. At all real numbers except at x = (Use a comma to separate answers as needed.) OB. Only at x = (Use a comma to separate answers as needed.) O C. At all real...
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