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Sketch the graph of a function g for which
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Calculus (MindTap Course List)
- 4. Sketch a graph of a function g(x) with g(1) = 2 and lim g(x) = 0. x-1arrow_forwardSketch the graph of a function y = f(x) with all of the following properties: a) f ′(x) > 0 for −2 ≤ x < 1 b) f ′(2) = 0 c) f ′(x) > 0 for x > 2 d) f(2) = 2 and f(0) = 1 e) lim x → −∞ f(x) = 0 and lim x → ∞ f(x) = ∞ f) f ′(1) does not existsarrow_forwardSketch a graph of a function f(x) with the given properties: (a) f(0) = 1 (b) lim f(x) = -∞ (c) lim f(x) = 3 (d) f(x) has a jump discontinuity at r = 3arrow_forward
- Sketch the graph of the function g for which g(0) = g(2) = g(4) = 0 g'(1) = g'(3) = 0, gʻ(0) = g'(4) = 1, g'(2) = –1 lim g(x) = ∞ and lim g(x) = -0 x→-00arrow_forward(5) Sketch the graph of a function y = f (x) that satisfies all of the following conditions. lim f(x) = -0 lim f(x) = 1 lim f(x) = = 00 I-3+ lim f(x) = –1 f (0) is undefined f(2) = –3 -4 -2-arrow_forwardI.B. Sketch the graph of a function f satisfying ALL the given conditions. The domain of f is (-∞0,00) f(-4)= -2 x intercepts are -2,0,2,4 and 6 lim f(x) = 0 X→-4 lim f(x) = +00 x-2¯ lim f(x) = X--2+ =18 lim f(x) = 0 x-0- lim f(x) = -4 x→0+ lim f(x) = 3 f is continuous at all except -4,-2,0 and 4 -6 5 -4 3 -2 N 6 -5 -4 3- -2 1 -1 0 -1 -2- -3- -4 --5- -6 --7-7 1 2 3 4 5 51 6arrow_forward
- Sketch the graph of a function, f(x), that has each of the following properties: • Domain: x € [-2, 1) U (1,7) U (7,00) • Range: y € (-00, 10] lim f(x) = -3 X-00 lim f(x) = -co and lim f(x) = 0 . lim f(x) = 5 X→-2+ lim f(x) does not exist X-9 The maximum output of f(x) occurs when x = 3 -10- 9 8 7 6 5 4 3 2 -1- -10-9-8-7 -6 -5 -4 -3 -2 -1 0 -1 -2 -3 -4 --5- --6- -7- -8 -9- -10- 2 3 4 5 6 7 8 9 10arrow_forwardQ2. (a) Draw a graph of a function y = f(x) compatible with the informations given below. lim f(x) = 5 lim f(x) = -7 lim f(x) = 2 lim f(x) = -2 lim f(x) = -6 x→-6- x→-6+ x→-2- lim f(x) = 3 lim f(x) = lim f(x) = ∞ lim f(x) : lim f(x) = 8 = -XO = -X x→-2+ x→0- x→0+ x→5- x→5+ lim f(x) = -2 lim f(x) lim f(x) = 12 x→9 lim f(x) = 20 lim f(x) = 0 --2 x→6- x→6+ x→12 x→17 f(-8) = 0 f(1) = 0 f(6) = 0 f(19) = -5arrow_forwardSKETCH A GRAPH OF f(x) SO THAT IT SATISFIES THE GIVEN CONDITIONS. f(0) = 2 F(-1)=0 lim AND f(x) = -3 f(x) = -a I'm X-3- f(x) > 0 WHEN (-∞0,0) f'(x) 0 WHEN (-∞0, -1) AND (3,00) F"(x)arrow_forwardConsider the graph of f(x) given below. y = f(x) (a) Analyzing the graph, if g(x) = f(x), then g is decreasing for x € (b) Analyzing the graph, if h'(x) = f(x), then h is decreasing for a Note: Input U, infinity, and -infinity for union, ∞, and -∞, respectively.arrow_forward2. For the function g whose graph is shown, state the following. (a) lim g(x) = (b) lim g(x) = x--6 (c) lim g(x)= x→0+ (e) The equations of the vertical asymptotes. -0-x (d) limg(x) = x →4 NJ Xarrow_forward1. Sketch the graph of an example of a function f that satisfies all of the given conditions. f(2)=4 f(-2) = -4, limx→-of(x) = 0 limx→of(x) = 2arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage