Math 1730 Test 3: Curve Sketching Name 1) Sketch the function () based on the following criteria:...
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1) Sketch the function (x) based on the following criteria: 20-points f(x) Domain: -00,0(0,) Points: (-4,0), (-12,-0.33) limo/(x)=0, limf(x) = 0 4(x2 +24x+ 72 9x(r+4)3 -x-12 f'(x) = 12 3x (x+4) f" (x) = We were unable to transcribe this image
1) Sketch the function (x) based on the following criteria: 20-points f(x) Domain: -00,0(0,) Points: (-4,0), (-12,-0.33) limo/(x)=0, limf(x) = 0 4(x2 +24x+ 72...
> Question 11 A Guide to Curve Sketching 1. Determine the domain off. 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. 6. Find the relative extrema off. 7. Determine the concavity of the graph of f. 8. Find the inflection points of f....
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...
Math 180 Exam 3 (Question 7)
7) (9 points) Sketch the graph of a function f(x) having the following given characteristics. Domain of f(x)=(-0,-5)U(-5,00) lim S(x)=-, and lim f(x)=0 lim f(x) = 3 X-00 F'(x) > 0 on (- 0,- 5) U(-5,0) f'(x) < 0on (0,0) F"(x) > 0 on (0, -5) "(x) <0 on (-5,0) f(x) >3 on (-0,-5) f(x) > 0 on (-3,3) f(x) < 0 on (- 5. - 3) U (3,-)
3. (12 pts) Find the absolute maximum and absolute minimum of f(x) x3 3x2-9x -4 on the interval [0, 4]. 12 AT 4. (10 pts) Sketch the graph of a function f(x) which has the following characteristics: (2) 1, f(5) 5, lim f(), i f)1, m끊f(x)-1, and limo f(x) = 4.
3. (12 pts) Find the absolute maximum and absolute minimum of f(x) x3 3x2-9x -4 on the interval [0, 4]. 12 AT 4. (10 pts) Sketch the graph of...
Curve Sketching: Use the following guidelines to sketch the graph of y-f(x) x-5x (20 points) a. What are the behaviors of y when x->oo, or x--0? (3 points) b. What is the first derivative of this function? What are increasing intervals and decreasing intervals and max points and mini points? (6 points) c. What are the second derivative of this function? What are intervals for concavity upwards and concavity downwards and inflection points? (6 points) Use the above information (a,...
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...
help on B and D
MATH 2411 Test 3 Initials: NC D. (3 points) Sketch the graph of a function that has no local maximum at (-3,5), local minimum at (2-4), and (iii) a y-intercept of -1. C. (4 points) Find the inflection point(s) for f(x) - **- 6x?. Express your answers in ordered pairs. f'(=4x3-12x f"(x)=12x2 -12 1282-1220 1 2x2 =12 x 21 1114-1025 (-1) 4-66-425 |(1,-5),(-1,-5) D. (5 points) For ) - 2r on [-3, 1), find the...
7) (9 points) Sketch the graph of a function f(x) having the following given characteristics. Domain of f(x)=(-0,-5) U (-5,00) lim S(x) = -, and lim f(x) = 0 lim f(x) = 3 S'(x) >0 on (-00,-5) U (-5,0) f'(x) <0 on (0,0) "(x) > 0 on (- , - 5) f"(x) <0 on (-5,00) f(x) > 3 on (-0,-5) f(x) > 0 on (-3,3) f(x) <0 on (-5, -3) U (3,0)
7) (9 points) Sketch the graph of a function f(x) having the following given characteristics. Domain of f(x)= (-0,-5) U (-5,0) lim f(x)=–00, and lim f(x)=0 lim f(x) = 3 5 x-00 /'(x) >0 on (-00,-5) U (-5,0) / '(x) < 0on (0,0) /"(x) > 0 on (- 0,-5) /"(x) <0 on (-5,0) f(x) > 3 on (-0, -5) f(x) > 0 on (-3,3) f(x) <0 on (-5, -3) U (3,0) 8