Question 3. (10 Points) A Graph Satisfying Integral Properties 4 2 2 2 -4 On the figure above, sk...
12. (8 points) A Graph Satisfying First and Second Derivative Conditions On the figure below, sketch the graph of a function y = f(x) that satisfies: • f(-2) = -3, • f is continuous • F"(x) > 0 on (-00, 2). • f is concave up for 1 > 2, and • lim f(1) = -2. • f'(2) does not exist. 00
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 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
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)...
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...
1. (2 pts each) The graph of some unknown function f is given below. 10 6/ 8-64-2 624 10 12 Use the graph to estimate the following quantities: (0 f (9) (g) f(4) b) lim (a) lim (e) (d) lim ( 6) (e) lim f(x) (c) lim f(x) if g(x)f(x) 6) a value of r where f is continuous but not differentiable (k) a value of r where f"(x) 0 and f"(x)>0 (1) the location of a relative maximum value...
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)...
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 /(0)--1 x-3 8) Use a table of values to estimate the limit. Include in your table all of the values of t that you use and the results, but feel free to use a calculator for the arithmetic. Make sure to state your conclusion. a) lim 5-1 t t→0 b) lim 7) Sketch a graph of a function...
3. Consider the following piecewise function (a) Draw an accurate graph of f(). (b) As always, f(x), has an infinite number of antiderivatives. Consider an antiderivative F(r). Let us assume that F(r) is continuous (we don't usually have to specify this, but you will see in the bonus part of the question why we do in this case). Let us further assume that F(2) 1. Sketch an accurate graph of F(r). MATH 1203 Assignment #7-Integration Methods Due: Thurs., Apr. 4...
2. Use Definition to find the equation of the tangent line to the graph of the equation y- 1/2 at -2 3. Find the points on the graph of y2-/2 at which the tangent line is parallel to the line y - 3. 4. Sketch the graph of a continuous function f that satisfies all of the stated conditions. f(0) 2, f(-2)- (2)-0, f(-2) f(O)-f'(2)-0 f"(z) > o if-2<zco, f,(z) < 0 if <-2 or x > 0; 2. Use...