Removable discontinuities:
What, if any, are the removable discontinuities of f(x) = s in ? How do you remove them?
4 have a removable discontinuity? For which values of x does a(x)-
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Removable discontinuities of functions
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Removable discontinuities: le discontinuities of f)32x+6 2 x2-9 -r-82-2x 6 What are the removable discontinuities of...
please help due in 5 min!!! please help do all!!! 12 1. Let F(a)- (a) Determine any discontinuities of F(a) and classify them as either removable or nonre- movable. (b) Determine the any horizont...
please help due in 5 min!!! please help do all!!!
12 1. Let F(a)- (a) Determine any discontinuities of F(a) and classify them as either removable or nonre- movable. (b) Determine the any horizontal or vertical asymptotes of F(x). (c) Sketch a graph of F(x), indicating the asymptotes and any removable singular points. Be sure that you choose an appropriate scale.
12 1. Let F(a)- (a) Determine any discontinuities of F(a) and classify them as either removable or nonre- movable....
2. Sketch the graph of the following functions and find the values of x for which lim f(x) does not exist. b)/(x) = 1, x = 0 f(x)- 5, x=3 c) x2 x>1 2x, x> 3 d) f(x)-v e) (x)- [2x 1- sin x D...
2. Sketch the graph of the following functions and find the values of x for which lim f(x) does not exist. b)/(x) = 1, x = 0 f(x)- 5, x=3 c) x2 x>1 2x, x> 3 d) f(x)-v e) (x)- [2x 1- sin x Discuss the continuity of the functions given in problem #2 above. Also, determine (using the limit concept) if the discontinuities of these functions are removable or nonremovable 3. Find the value of the constant k (using...
What is the composition(fog)(x) when f(x) = 2x+6 and g(x)=x2-1, before simplifying? a.(fog)(x)=x2-1+2x+6 b.(fog)(x)=(2x+6)2-1 c.(fog)(x)=2(x2-1)+6 d.(fog)(x)=(2x+6)(x2-1)
What is the composition(fog)(x) when f(x) = 2x+6 and g(x)=x2-1, before simplifying? a.(fog)(x)=x2-1+2x+6 b.(fog)(x)=(2x+6)2-1 c.(fog)(x)=2(x2-1)+6 d.(fog)(x)=(2x+6)(x2-1)
5. For each of the rational functions below: 2x + 1 (a) f(x) = x2 (b)...
5. For each of the rational functions below: 2x + 1 (a) f(x) = x2 (b) g(x) = 2 find 2 + 1 3.12 (c) h(x) = T .x2 - 3.x + 2 (i) the domain of the function (use intervals to give your answers); (ii) all vertical asymptote(s) (if any); (iii) all horizontal asymptote(s) (if any); (iv) all r-intercept(s) (if any); (v) all y-intercept(s) (if any). Write yotir answers in the following table: ydir polynomial domain Vertical Asymptote Horizontal...
Cal 4 , ) and use this to 6. Let f(x,y) = x2 + y2 + 2x + y. (a) Find all critical points of f in the disk {(x,y) : x2 + y2 < 4). Use the second derivative test to determine if these points corr...
Cal 4
, ) and use this to 6. Let f(x,y) = x2 + y2 + 2x + y. (a) Find all critical points of f in the disk {(x,y) : x2 + y2 < 4). Use the second derivative test to determine if these points correspond to a local maximum, local minimum, or saddle point. (b) Use Lagrange multipliers to find the absolute maximum/minimum values of f(x, y) on the circle a2 +y -4, as well as the points...
3. A function f(x) that you do not know has the following properties. (6 points total)...
3. A function f(x) that you do not know has the following properties. (6 points total) The domain of the function is (-00,00), and the graph off has no discontinuities. • f'(0) = 0 and f'(9) = 0. . f"(x) > 0 on the interval (-0,3), and F"(x) < 0 on the interval (3,00). f"(3) = 0. a) At what value of x does f(x) have a local minimum? How do you know that there is a minimum here? (3...
6. For the function. 2+x- -2x+14 (x-1)4 r-l) Find domain. Il Find vertical and horizontal asymptotes. Examine...
6. For the function. 2+x- -2x+14 (x-1)4 r-l) Find domain. Il Find vertical and horizontal asymptotes. Examine vertical asymptote on either side of discontinuity b. 13] c. Find all intercepts. d. Find critical points. Find any local extrema. e. 121 Page 7 of 12 13) f. Find points inflection. 13) g. Sketch. Label: . Intercepts Asymptotes Critical Points) Point of Inflectionfs)
6. For the function. 2+x- -2x+14 (x-1)4 r-l) Find domain. Il Find vertical and horizontal asymptotes. Examine vertical asymptote...
Short answer, explain your reasoning (a) Find the ged in R[x] of x3 – 2x –...
Short answer, explain your reasoning (a) Find the ged in R[x] of x3 – 2x – 1 – 2 and x2 – – 2. (b) How many elements in F41 are squares? Explain a systematic way to describe them all? (c) Does C[x] have an irreducible polynomial of degree 100? Explain. (d) Does R[2] have an irreducible polynomial of degree 100? Explain. (e) Does Q[x] have an irreducible polynomial of degree 100? Explain. (f) Does F19(2) have an irreducible polynomial...
Question 1 (1 point) Use the figure shown to answer the following question aboutf(x). What is...
Question 1 (1 point) Use the figure shown to answer the following question aboutf(x). What is the limfm)? (-2,2), 2 (0.1) (3.0) I -4 -3 -2 - 1 2 4 5 (-2-1) (3-1) -1 -2 1) The limit does not exist. 2) The limit is 1 3) The limit is 3 4) The limit is 0. Question 2 (1 point) Question 2 (1 point) Use the figure shown to answer the following question. What is the lim f(x)? (6,5), (1.4)...
Name: 1. For the function f(x) = x2 – 1 find and simplify: a. f(-2) b....
Name: 1. For the function f(x) = x2 – 1 find and simplify: a. f(-2) b. f(-x) c. -f(x) d. f(x - 2) 2. Find the domain of each function below. Write your answer in interval notation. a. f(x) = x + 2 x2 + x - 6 b. 8(x) = (2x - 1 1 f(x + h) - f(x) 3. For the function f(x) = 2x2 – 3, find the difference quotient h 4. Use the graph of the...
please help due in 5 min!!! please help do all!!!
12 1. Let F(a)- (a) Determine any discontinuities of F(a) and classify them as either removable or nonre- movable. (b) Determine the any horizontal or vertical asymptotes of F(x). (c) Sketch a graph of F(x), indicating the asymptotes and any removable singular points. Be sure that you choose an appropriate scale.
12 1. Let F(a)- (a) Determine any discontinuities of F(a) and classify them as either removable or nonre- movable....
2. Sketch the graph of the following functions and find the values of x for which lim f(x) does not exist. b)/(x) = 1, x = 0 f(x)- 5, x=3 c) x2 x>1 2x, x> 3 d) f(x)-v e) (x)- [2x 1- sin x Discuss the continuity of the functions given in problem #2 above. Also, determine (using the limit concept) if the discontinuities of these functions are removable or nonremovable 3. Find the value of the constant k (using...
5. For each of the rational functions below: 2x + 1 (a) f(x) = x2 (b) g(x) = 2 find 2 + 1 3.12 (c) h(x) = T .x2 - 3.x + 2 (i) the domain of the function (use intervals to give your answers); (ii) all vertical asymptote(s) (if any); (iii) all horizontal asymptote(s) (if any); (iv) all r-intercept(s) (if any); (v) all y-intercept(s) (if any). Write yotir answers in the following table: ydir polynomial domain Vertical Asymptote Horizontal...
Cal 4
, ) and use this to 6. Let f(x,y) = x2 + y2 + 2x + y. (a) Find all critical points of f in the disk {(x,y) : x2 + y2 < 4). Use the second derivative test to determine if these points correspond to a local maximum, local minimum, or saddle point. (b) Use Lagrange multipliers to find the absolute maximum/minimum values of f(x, y) on the circle a2 +y -4, as well as the points...
3. A function f(x) that you do not know has the following properties. (6 points total) The domain of the function is (-00,00), and the graph off has no discontinuities. • f'(0) = 0 and f'(9) = 0. . f"(x) > 0 on the interval (-0,3), and F"(x) < 0 on the interval (3,00). f"(3) = 0. a) At what value of x does f(x) have a local minimum? How do you know that there is a minimum here? (3...
6. For the function. 2+x- -2x+14 (x-1)4 r-l) Find domain. Il Find vertical and horizontal asymptotes. Examine vertical asymptote on either side of discontinuity b. 13] c. Find all intercepts. d. Find critical points. Find any local extrema. e. 121 Page 7 of 12 13) f. Find points inflection. 13) g. Sketch. Label: . Intercepts Asymptotes Critical Points) Point of Inflectionfs)
6. For the function. 2+x- -2x+14 (x-1)4 r-l) Find domain. Il Find vertical and horizontal asymptotes. Examine vertical asymptote...
Short answer, explain your reasoning (a) Find the ged in R[x] of x3 – 2x – 1 – 2 and x2 – – 2. (b) How many elements in F41 are squares? Explain a systematic way to describe them all? (c) Does C[x] have an irreducible polynomial of degree 100? Explain. (d) Does R[2] have an irreducible polynomial of degree 100? Explain. (e) Does Q[x] have an irreducible polynomial of degree 100? Explain. (f) Does F19(2) have an irreducible polynomial...
Question 1 (1 point) Use the figure shown to answer the following question aboutf(x). What is the limfm)? (-2,2), 2 (0.1) (3.0) I -4 -3 -2 - 1 2 4 5 (-2-1) (3-1) -1 -2 1) The limit does not exist. 2) The limit is 1 3) The limit is 3 4) The limit is 0. Question 2 (1 point) Question 2 (1 point) Use the figure shown to answer the following question. What is the lim f(x)? (6,5), (1.4)...
Name: 1. For the function f(x) = x2 – 1 find and simplify: a. f(-2) b. f(-x) c. -f(x) d. f(x - 2) 2. Find the domain of each function below. Write your answer in interval notation. a. f(x) = x + 2 x2 + x - 6 b. 8(x) = (2x - 1 1 f(x + h) - f(x) 3. For the function f(x) = 2x2 – 3, find the difference quotient h 4. Use the graph of the...
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