7) (9 points) Sketch the graph of a function f(x) having the following given characteristics. Domain...
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)
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,-)
Sketch the graph of a function f having the given characteristics. f(3) = f(9) = 0 f'(6) = f'(8) = 0 f'(x) > 0 for x < 6 f'(x) > 0 for 6 < x < 8 f'(x) < 0 for x > 8 f"(x) < 0 for x < 6 or x > 7 f"(x) > 0 for 6 < x < 7
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
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 having the given characteristics. f(0) = f(8) = 0 f'(x) < o if x < 4 f'(4) = 0 f'(x) > 0 if x > 4 f"(x) > 0
(9 points) Give the graph of one and only one function which satisfies all the following conditions. 9. Domain of the function [-5,0)u(o,) a. b. The function is continuous on its domain f(-5)- f(5) C. d. lim f(x) 6 lim f(x) e. f.lim f(x)- o g. lim f(x)- x- Explain why the graph of a function which satisfies all these conditions must intercept the x-axis, meaning that there is at least one number c so that f(c)-o.
(9 points) Give...
please explain each step, give all the reasoning, don’t just
give the graph, I have already gotten the graph
1. Sketch the graph of the function that satisfies all the given conditions. (a) f"()>0 on (-0, -4) and (4,oo); f"(x) <0 on (-4,0) and (0,4); lim f()2, lim f(r) -2 ェ→00 (b) f(x) c0 on (-o,-3) and (0, 0) ()>0 on-3,0) f"(z) < 0 on (-00 ,-), f"(z) > 0 on (- 0) and (0,00) f,() = 0, f(-2)--21, f(0)...
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...
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....