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13. A function is given below along with both its first and...
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...
f(T) = 22 9 Instructions: • If you are asked for a function, enter a function....
f(T) = 22 9 Instructions: • If you are asked for a function, enter a function. • If you are asked to find 2- or y-values, enter either a number or a list of numbers separated by commas. If there are no solutions, enter None. • If you are asked to find an interval or union of intervals, use interval notation. Enter { } if an interval is empty • If you are asked to find a limit, enter either...
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. \(F(x)=x^{5}-5 x\)
17. Given the following function and its first and second derivative: 20-2 6-43 f'(x)= f"(x) =...
17. Given the following function and its first and second derivative: 20-2 6-43 f'(x)= f"(x) = [2 pts] 1) Find the horizontal and vertical asymptotes of f(x), if any. f(x)=x-2x=1 نر [2 pts) ii) Find all critical numbers. Note: NOT a point, just critical numbers only. [5 pts) iii) Find the intervals of increasing and decreasing then finding all local maximum minimum values. [5 pts] Find the intervals of concave upward and concave downward. [2 pts) Find inflection point, if...
2. (4+6+2+4+2+6=24 points Consider the function f(x) = -1 (a) Find any vertical and horizontal asymptotes...
2. (4+6+2+4+2+6=24 points Consider the function f(x) = -1 (a) Find any vertical and horizontal asymptotes off. (b) On what intervals is f increasing? decreasing? (c) Find all local maximum and minimum values of (d) On what intervals is f concave up? concave down? (e) Find all inflection points of f. (f) Using the information from (a) to (e), sketch a graph of J. Clearly label any asymptotes, local extrema, and inflection points.
Use methods of algebra and calculus to analyze the graph of the function.
1. Use methods of algebra and calculus to analyze the graph of the function$$ f(x)=\frac{-x^{3}-x+5}{2 x^{3}+3 x^{2}-7} $$Include all the following in your analysis:a) the domainb) interceptsc) equations of asymptotes (both vertical and horizontal)d) relative extrema (be sure to provide all derivatives, identify critical numbers, and show the test for those values - naming the test you are using.)e) intervals where the function is increasing or decreasingf) inflection points (be sure to identify possible inflection points and be sure to...
i need help with c, d, and e 3. Use the following steps to sketch the...
i
need help with c, d, and e
3. Use the following steps to sketch the graph of each of the following functions. Step 1: Find the domain. Step 2: Find the y-intercept and all x-intercepts. Step 3: Decide if the function has any symmetry: odd, even, periodic. Step 4: Find any horizontal or vertical asymptotes. Justify using limits. Step 5: Find the critical numbers and determine intervals of increase/decrease. Step 6: Identify all local extrema. State as ordered pairs....
1. Consider the curve given by the function f(x) = -4.83 27(x + 1)2 You are...
1. Consider the curve given by the function f(x) = -4.83 27(x + 1)2 You are given that -4x²(x +3) - 8.1 f'(x) = and f"(x) = 27(x + 1)3 9(x + 1)4 Compile the following information about f(x) and its graph. Show your work to justify your answers to parts (f), (g), (h), (i) and (j). Otherwise, give answers only. Answer "NONE” if the function does not display a feature listed. 1] (a) Domain of f (b) x and...
Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection,...
Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) x25 y= x2-64 intercept (x, y)- relative minimum (x, y)- relative maximum (x, y) point of inflection (x, y)- Find the equations of the asymptotes. (smaller x-value) (larger x-value) (horizontal asymptote) Use a graphing utility to verify your results. O 1/8 points Previous Answers LarCalc9 3.6.009. Analyze and sketch a graph of the function....
please solve b and c 3. Use the following steps to sketch the graph of each...
please solve b and c
3. Use the following steps to sketch the graph of each of the following functions. Step 1: Find the domain. Step 2: Find the y-intercept and all x-intercepts. Step 3: Decide if the function has any symmetry: odd, even, periodic. Step 4: Find any horizontal or vertical asymptotes. Justify using limits. Step 5: Find the critical numbers and determine intervals of increase/decrease. Step 6: Identify all local extrema. State as ordered pairs. Step 7: Determine...
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...
f(T) = 22 9 Instructions: • If you are asked for a function, enter a function. • If you are asked to find 2- or y-values, enter either a number or a list of numbers separated by commas. If there are no solutions, enter None. • If you are asked to find an interval or union of intervals, use interval notation. Enter { } if an interval is empty • If you are asked to find a limit, enter either...
17. Given the following function and its first and second derivative: 20-2 6-43 f'(x)= f"(x) = [2 pts] 1) Find the horizontal and vertical asymptotes of f(x), if any. f(x)=x-2x=1 نر [2 pts) ii) Find all critical numbers. Note: NOT a point, just critical numbers only. [5 pts) iii) Find the intervals of increasing and decreasing then finding all local maximum minimum values. [5 pts] Find the intervals of concave upward and concave downward. [2 pts) Find inflection point, if...
2. (4+6+2+4+2+6=24 points Consider the function f(x) = -1 (a) Find any vertical and horizontal asymptotes off. (b) On what intervals is f increasing? decreasing? (c) Find all local maximum and minimum values of (d) On what intervals is f concave up? concave down? (e) Find all inflection points of f. (f) Using the information from (a) to (e), sketch a graph of J. Clearly label any asymptotes, local extrema, and inflection points.
i
need help with c, d, and e
3. Use the following steps to sketch the graph of each of the following functions. Step 1: Find the domain. Step 2: Find the y-intercept and all x-intercepts. Step 3: Decide if the function has any symmetry: odd, even, periodic. Step 4: Find any horizontal or vertical asymptotes. Justify using limits. Step 5: Find the critical numbers and determine intervals of increase/decrease. Step 6: Identify all local extrema. State as ordered pairs....
1. Consider the curve given by the function f(x) = -4.83 27(x + 1)2 You are given that -4x²(x +3) - 8.1 f'(x) = and f"(x) = 27(x + 1)3 9(x + 1)4 Compile the following information about f(x) and its graph. Show your work to justify your answers to parts (f), (g), (h), (i) and (j). Otherwise, give answers only. Answer "NONE” if the function does not display a feature listed. 1] (a) Domain of f (b) x and...
Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) x25 y= x2-64 intercept (x, y)- relative minimum (x, y)- relative maximum (x, y) point of inflection (x, y)- Find the equations of the asymptotes. (smaller x-value) (larger x-value) (horizontal asymptote) Use a graphing utility to verify your results. O 1/8 points Previous Answers LarCalc9 3.6.009. Analyze and sketch a graph of the function....
please solve b and c
3. Use the following steps to sketch the graph of each of the following functions. Step 1: Find the domain. Step 2: Find the y-intercept and all x-intercepts. Step 3: Decide if the function has any symmetry: odd, even, periodic. Step 4: Find any horizontal or vertical asymptotes. Justify using limits. Step 5: Find the critical numbers and determine intervals of increase/decrease. Step 6: Identify all local extrema. State as ordered pairs. Step 7: Determine...
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