7) Sketch a graph of a function that has the following properties: lig, f(x)--2 linn,f(x) = 2 f(3)-1 lino f(x) = 1...
17. Sketch the graph of an example of a function f that satisfies all of the given conditions. f(0) = 0, f(1) = 1, lim f(x) = 0, fis odd 1400 18. Sketch the graph of an example of a function f that satisfies all of the given conditions. lim, f(x) = 00, lim f(x) = 3, lim f(x) -3 2-2 29-00 100 19. Evaluate the limit and justify each step by indicating theappropriate properties of limits. 3.x2 - X+4....
Sketch the graph of a function f where all the following properties hold. For full marks, clearly and carefully label all intercepts, relative extrema, inflection points, and asymptotes. • Domain: (-0,00) . Continuous everywhere • Differentiable everywhere except at x = -3 • f(0) = 6 • lim f(x) = 0 • f'(-2) = f'(0) = 0 • f'(x) <0 on (-0, -3) and (0,0) • f'(x) > 0 on (-3,-2) and (-2,0) lim 1' (x) = and lim f'(x)...
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 a graph of a function f(x) that satisfies each of these conditions. f (x) has a jump discontinuity at x = -3, and a displaced point at x = -1 f (x) is continuous on lim f( -oo) lim f(x 2) lim f(r oo) -0+ F-1) f(0)=0 (-oo, -3), -3, 1), (-1,0, (0, o lim f( -oo) lim f(x 2) lim f(r oo) -0+ F-1) f(0)=0 (-oo, -3), -3, 1), (-1,0, (0, o
Question 3. (10 Points) A Graph Satisfying Integral Properties 4 2 2 2 -4 On the figure above, sketch the graph of a function f satisfying the following properties: .f is continuous, . lim f(z) 0, .f"(x) S0 on (-oo, -3). e lim f(z)oo, .()>0 on (0,2) .f'(2) 0, and f(r) dz 1, )t-1 for> 3 -3 Question 3. (10 Points) A Graph Satisfying Integral Properties 4 2 2 2 -4 On the figure above, sketch the graph of a...
(5 points) A continuous function f, defined for all x, has the following properties: 1. f is decreasing 2. f is concave up 3. f(26) = -5 4. f'(26) = - Sketch a possible graph for f, and use it to answer the following questions about f. A. For each of the following intervals, what is the minimum and maximum number of zeros f could have in the interval? (Note that if there must be exactly N zeros in an...
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...
Sketch the graph of the function f(r) with the following characteristics: lim f(x) = -00 lim f.) = -1 -2 0-0 lim f(x) =0 lim f(3) = -1 lim f (r) = 2 1-2
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,-)
11-12 Sketch the graph of the function and use it to determine the values of a for which lim, f(x) exists 1 x if x<- 11. f(x)-x if -1x< 2-x if x1 1>r>T- J} 11-12 Sketch the graph of the function and use it to determine the values of a for which lim, f(x) exists 1 x if xT- J}