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Let f(x) = 2-1 a) Find X and Y intercepts. b) Determine 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...
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.
Let. Fox , FO) = * F"(x) = 2XT9 1.Find x-and y-intercepts of the graph of...
Let. Fox , FO) = * F"(x) = 2XT9 1.Find x-and y-intercepts of the graph of f, if it has any. 2. Find vertical and horizontal asymptote(s) of f, if it has any. 3. Find the critical number(s), intervals(s) of increasing and decreasing and points of relative extrema off, if it has any. 4. Find intervals of concavity and the point(s) of inflection of f, if any Page 2 5. Sketch the graph of f, label all important points from...
just step 3 and 4 X-1 II. For f(x) find: x+3 Step 1: Analyze f(x) 4....
just step 3 and 4
X-1 II. For f(x) find: x+3 Step 1: Analyze f(x) 4. Domain 5. X-intercepts and y-intercepts (use calculator to approximate value. Round to two decimal places) 6. vertical and horizontal asymptotes (if exist) Step 2 Analyze f'(x) 6. critical points 7. intervals on which f(x) is increasing 8. intervals on which f(x) is decreasing 9. minimum, if exist 10. maximum, if exist Step 3 Analyze f"(x) 4. concavity upward 5. concavity downward 6. point(s) of...
A Guide to Curve Sketching 1. Determine the domain of f. 2. Find the x- and...
A Guide to Curve Sketching 1. Determine the domain of f. 2. Find the x- and y-intercepts off.* 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, 6. Find the relative extrema of f. 7. Determine the concavity of the graph of f. 8. Find the inflection points of f. 9. Plot...
Sketch the graph of the function f(x) - (2-6)(x+3) 9(2+2) A sketch need not be exact...
Sketch the graph of the function f(x) - (2-6)(x+3) 9(2+2) A sketch need not be exact or to scale! A sketch does need to show important points and features of the graph: intervals on which the function is increasing/decreasing, concavity, points at which local and absolute max, and min. values occur, inflection points, intercepts, vertical and horizontal asymptotes, and any other features particular to the particular function,
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...
| 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
show work 2. Let f(x) = x* – 18x²+4. a) Find the intervals on which f...
show work
2. Let f(x) = x* – 18x²+4. a) Find the intervals on which f is increasing or decreasing. b) Find the local maximum and minimum values off. c) Find the intervals of concavity and the inflection points. d) Use the information from a-c to make a rough sketch of the graph.
show work 2. Let f(x)=x* - 18x+4. a) Find the intervals on which f is increasing...
show work
2. Let f(x)=x* - 18x+4. a) Find the intervals on which f is increasing or decreasing. b) Find the local maximum and minimum values of f. c) Find the intervals of concavity and the inflection points. d) Use the information from a-c to make a rough sketch of the graph.
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....
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.
Let. Fox , FO) = * F"(x) = 2XT9 1.Find x-and y-intercepts of the graph of f, if it has any. 2. Find vertical and horizontal asymptote(s) of f, if it has any. 3. Find the critical number(s), intervals(s) of increasing and decreasing and points of relative extrema off, if it has any. 4. Find intervals of concavity and the point(s) of inflection of f, if any Page 2 5. Sketch the graph of f, label all important points from...
just step 3 and 4
X-1 II. For f(x) find: x+3 Step 1: Analyze f(x) 4. Domain 5. X-intercepts and y-intercepts (use calculator to approximate value. Round to two decimal places) 6. vertical and horizontal asymptotes (if exist) Step 2 Analyze f'(x) 6. critical points 7. intervals on which f(x) is increasing 8. intervals on which f(x) is decreasing 9. minimum, if exist 10. maximum, if exist Step 3 Analyze f"(x) 4. concavity upward 5. concavity downward 6. point(s) of...
A Guide to Curve Sketching 1. Determine the domain of f. 2. Find the x- and y-intercepts off.* 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, 6. Find the relative extrema of f. 7. Determine the concavity of the graph of f. 8. Find the inflection points of f. 9. Plot...
Sketch the graph of the function f(x) - (2-6)(x+3) 9(2+2) A sketch need not be exact or to scale! A sketch does need to show important points and features of the graph: intervals on which the function is increasing/decreasing, concavity, points at which local and absolute max, and min. values occur, inflection points, intercepts, vertical and horizontal asymptotes, and any other features particular to the particular function,
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
show work
2. Let f(x) = x* – 18x²+4. a) Find the intervals on which f is increasing or decreasing. b) Find the local maximum and minimum values off. c) Find the intervals of concavity and the inflection points. d) Use the information from a-c to make a rough sketch of the graph.
show work
2. Let f(x)=x* - 18x+4. a) Find the intervals on which f is increasing or decreasing. b) Find the local maximum and minimum values of f. c) Find the intervals of concavity and the inflection points. d) Use the information from a-c to make a rough sketch of the graph.
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