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Sketch the graph of a function f where all the following properties hold. For full marks,...
2. Sketch the graph of a function where all the following properties hold. For full marks,...
2. Sketch the graph of a function where all the following properties hold. For full marks, clearly and carefully label all intercepts, relative extrema, inflection points, and asymptotes. • Domain: (-0,0) • Continuous everywhere • Differentiable everywhere except at x = -3 • f(0) = 6 • lim f(x) = 0 • l'(-2) = f'(0) = 0 • f'(x) < 0 on (-0, -3) and (0,0) • f'(2) >0 on (-3,0) lim f'(x) = 0 and lim f'(x) = -0...
Analyze and sketch the graph of each function.
Analyze and sketch the graph of each function. Local intercepts, relative extrema, points of inflection and asymptotes. State for each problem the following: domain, range, intercepts, symmetry, asymptotes (horizontal and/or vertical asymptotes), critical numbers, points of inflection. a. \(Y=x^{2}+1 / x^{2}-9\)b. \(Y=x^{2} / x^{2}+3\)c. \(\mathrm{Y}=\frac{1}{3}\left(x^{2}-3 x+2\right)\)d. \(\mathrm{F}(\mathrm{x})=\frac{1}{x e^{x}}\)e. \(F(x)=x^{5}-5 x\)
Sketch the graph of a single function that has all of the properties listed. (a) Continuous...
Sketch the graph of a single function that has all of the properties listed. (a) Continuous and differentiable everywhere except at x = 2, where it has a vertical asymptote (b) Increasing everywhere it is defined (c) Concave upward on (-0,2) and (446) (d) Concave downward on (2,4) and (6,00) Choose the correct graph below. OA ов. O c. OD a 10 10 10 10 10 10 10 - 10
8. Sketch the graph of an example of f that satisfies all of the given conditions....
8. Sketch the graph of an example of f that satisfies all of the given conditions. Draw any asymptotes. • Domain (-0, -2) (-2,2) U (2,00) • lim f(x) = 0 and lim f(x) = 0 • lim f(1) = 00, lim f() = -20, lim f(t) = -00, lim f(x) = 0 f'(x) > 0 on (-2,-2) and (-2,0) f') <0 on (0,2) and (2,00) f"(2) >0 on -00,-2) and (2,00) f"(2) <0 on (-2,2) • f(0) = -1...
9. Sketch the graph of a function, using the given information a. Intercepts: (0, 0) and (4, 0) L...
9. Sketch the graph of a function, using the given information a. Intercepts: (0, 0) and (4, 0) Local Minimum: (3,-27) Points of Inflection: (0, 0) and (2, -16) f(x) c0 over the interval (-0,3) f(x)>0 over the interval (3,) f (x)>0 over the intervals (-o,0) and (2,0) "(x) <0 over the interval (0, 2 b. Sketch a graph of a differentiable function /(x) over the closed interval [-2, /(-2)-f (7) -3 and f (4) 3. The roots of /(x)...
I want all the working, Thankyou 1. Investigate the function based on the properties below. Then...
I want all the working,
Thankyou
1. Investigate the function based on the properties below. Then sketch the graph of this function. f(x)=+ In x 1.1 Domain: 1.2 Intercepts. 1.3 Symmetry. 1.4 Asymptotes. 1.5 Intervals where f(x) increasing/decreasing 1.6 Critical #. 1.7 Local max/min 1.8 Concavity 1.9 Inflection Points
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...
Use the steps below to sketch the graph y = x^2 - 7x - 18. Required...
Use the steps below to sketch the graph y = x^2 - 7x - 18. Required points are the x intercepts and the max and mix of the graph 1. Determine the domain of f. 2. Find the x- and y-intercepts of f.† 3. Determine the behavior of f for large absolute values of x. 4. Find all horizontal and vertical asymptotes of the graph of f. 5. Determine the intervals where f is increasing and where f is decreasing....
| Sketch the curve of the function f(x) = + unction f(x) = "* [r'(x) =...
| Sketch the curve of the function f(x) = + unction f(x) = "* [r'(x) = 2*, S"(x) = 205*] Do this by determining the following information: domain, vertical asymptotes and limit - behavior, horizontal asymptotes, x \& y intercepts, symmetry, intervals of increase/decrease and maximum/minimum points, intervals of concavity and inflection points
Sketch the curve of f(x) Sketch the curve f(x) = x -1. a. What is the...
Sketch the curve of f(x)
Sketch the curve f(x) = x -1. a. What is the domain of the function? b. Find the r and y intercepts. • y-intercept is • 2-intercept(s) is/are (if there are more than one r intercept then separate your answers with a comma.) c. Is f(x) even, odd, or neither? 1. find f(-x) = 2. Does f( - x) = f(x)? 2 3. Does f(-x) = -f(x)? 2 4. f(x) is Select an answer V...
2. Sketch the graph of a function where all the following properties hold. For full marks, clearly and carefully label all intercepts, relative extrema, inflection points, and asymptotes. • Domain: (-0,0) • Continuous everywhere • Differentiable everywhere except at x = -3 • f(0) = 6 • lim f(x) = 0 • l'(-2) = f'(0) = 0 • f'(x) < 0 on (-0, -3) and (0,0) • f'(2) >0 on (-3,0) lim f'(x) = 0 and lim f'(x) = -0...
Sketch the graph of a single function that has all of the properties listed. (a) Continuous and differentiable everywhere except at x = 2, where it has a vertical asymptote (b) Increasing everywhere it is defined (c) Concave upward on (-0,2) and (446) (d) Concave downward on (2,4) and (6,00) Choose the correct graph below. OA ов. O c. OD a 10 10 10 10 10 10 10 - 10
8. Sketch the graph of an example of f that satisfies all of the given conditions. Draw any asymptotes. • Domain (-0, -2) (-2,2) U (2,00) • lim f(x) = 0 and lim f(x) = 0 • lim f(1) = 00, lim f() = -20, lim f(t) = -00, lim f(x) = 0 f'(x) > 0 on (-2,-2) and (-2,0) f') <0 on (0,2) and (2,00) f"(2) >0 on -00,-2) and (2,00) f"(2) <0 on (-2,2) • f(0) = -1...
9. Sketch the graph of a function, using the given information a. Intercepts: (0, 0) and (4, 0) Local Minimum: (3,-27) Points of Inflection: (0, 0) and (2, -16) f(x) c0 over the interval (-0,3) f(x)>0 over the interval (3,) f (x)>0 over the intervals (-o,0) and (2,0) "(x) <0 over the interval (0, 2 b. Sketch a graph of a differentiable function /(x) over the closed interval [-2, /(-2)-f (7) -3 and f (4) 3. The roots of /(x)...
I want all the working,
Thankyou
1. Investigate the function based on the properties below. Then sketch the graph of this function. f(x)=+ In x 1.1 Domain: 1.2 Intercepts. 1.3 Symmetry. 1.4 Asymptotes. 1.5 Intervals where f(x) increasing/decreasing 1.6 Critical #. 1.7 Local max/min 1.8 Concavity 1.9 Inflection Points
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...
| Sketch the curve of the function f(x) = + unction f(x) = "* [r'(x) = 2*, S"(x) = 205*] Do this by determining the following information: domain, vertical asymptotes and limit - behavior, horizontal asymptotes, x \& y intercepts, symmetry, intervals of increase/decrease and maximum/minimum points, intervals of concavity and inflection points
Sketch the curve of f(x)
Sketch the curve f(x) = x -1. a. What is the domain of the function? b. Find the r and y intercepts. • y-intercept is • 2-intercept(s) is/are (if there are more than one r intercept then separate your answers with a comma.) c. Is f(x) even, odd, or neither? 1. find f(-x) = 2. Does f( - x) = f(x)? 2 3. Does f(-x) = -f(x)? 2 4. f(x) is Select an answer V...
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