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Sketch a non-constant function that is continuous on (-00,00) and has the following properties. Use a...
Given that tbx) is continuous on (-00,00), use the information below to sketch the graph oft () +++ ND--ND+++++++ 6 +++ fx 1 1 2 0 2 4 1 2 3 Choose the correct graph below ОА OB Ос. оо 4 @ 4 © 45 Click to select your answer MacBook Air es B0 888 FE
U2JCIC) f(x) is continuous on (-00,00). Use the given information to sketch the graph off f(0) = 12,6)=0, f(12)= -12. f'(o)=0. (12)=0 (x) > 0 on (-2,0) and (12,00), f'(x) <0 on (0,12) t" (6)=0 f'(x) >0 on (6.co) 1"(x) <0 on (-00,6) Choose the correct graph off below. A. OB Ос. OD. © AY Ay 20 a M ☺ -20 Click to select your answer DI O 1 Type here to search MP
(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...
Sketch the graph of a function that is continuous on (-0,ce) and satisfies the following sets of conditions. 4-6)=21-5-or(- = 0; f(-4)=1-4)= 0; f(-3)=P(-3)=0 Choose the correct answer below OA OB C. OD. o S
Sketch the graph of a single function that has all of the properties listed. (a) Continuous and differentiable everywhere except at x = 2, where it has a vertical asymptote (b) Increasing everywhere it is defined (c) Concave upward on (-0,2) and (446) (d) Concave downward on (2,4) and (6,00) Choose the correct graph below. OA ов. O c. OD a 10 10 10 10 10 10 10 - 10
Sketch the graph of a continuous function on (-4,0 satisfying the given properties f')0 for x = -3 and - 2. f has an absolute maximum x 0;fhas an absolute minimum at Choose the correct graph below and has a local minimum at x-2
Sketch a graph on the right side of the problem of a single function that has these properties. 5) (a) defined for all real numbers (b) increasing on (-3,-1) and (2, oo) (c) f '(x) < 0 on (-00-3) and (-1,2) (d)f"x)>0 on (0, 00) (e) concave down on (-oo, -3), (-3, o) 6) (a) defined for all real numbers (b) increasing on (-3, 3) (c) decreasing on (, -3) and (3, ) (d) fix) <0 on (0, (e) f(x)>...
1. (20 pts) In class we stated the following properties of the distribution function for a random variable X, namely F(x) P(X S): (a) F is a nondecreasing function; that is, if a < b, then F(a) < F(b (b) lim F(b) 1. (c) limb→-00F(b)=0. (d) F is right continuous. That is, for any b and any decreasing sequence bn, n-1, that converges to b, limFbn)F(b) Give a clear proof of each statement. Cite any sources used in developing your...
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...