the function y=f(x)={ 0-4), 14x+16, x20 x<0 Consider 1. (a) Sketch the graph off. (3 pts.) (b) Verify that the function is continuous everywhere using the properties of the definition and possibly calculating the limit at a particular point. (2 pts.) (c) Show f'(x) is not continuous at x-0. (5 pts.)
the function y=f(x)={ 0-4), 14x+16, x20 x
2. Draw a possible graph of the function described: (6 pts.) 10 O 00 07 f(-3)=4, f (2)=0 f'(-4)= f'(2) = f'(9)=0) f'>0 when x < -4 and x > 2 f' <0 when - 4<x<2 f">0 when -1<x< 5 or 9<x<10 f" <0 when x < -1 or 5<x< 9 or x >10 4 N NH -10 -8 -6 -4 -2 -2 4 07 8 10 -4 -6 -8 -10
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)...
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...
Given that f(x) is continuous on (-0,00), use the information below to sketch the graph off. f() OND+++++++ O +++ 0 x-1 0 ffx) 2 3 1 2 3 3 5 4 hoose the correct graph below OA ОВ. Ос. OD Af) AF) 1 a A) a © © Click to select y nswer
This Question: 4 pts 16 of 26 (0 complete) Use the graph of the function f shown to the right to answer parts (a)-(h). (a) Find f(-14) and f(-6). (-6,6) 8 (12.4) 4 (-12.0) (TO) f(-14) = f(-6)= A (0-2) (8,0) 1-14.-4) (b) is f(4) positive or negative? -8 is Question: 4 pts 16 of 26 (0 complete) Use the graph of the function f shown to the right to answer parts (a)-(h). (-6,6) 8 (12.4) 4 (c) Is f(-4)...
2. The graph of a function, f(x), is provided to the right. 2 Use this graph to answer each of the following questions. (a) You are also told that f(x) passes through (1, 0.8). -4-3-2f11 1 2 3 Find the equation of f(x), where you use the smallest degree possible. -2 (You can write your answer in factored form.) [6 pts] -3 -4 -5 -6 -7 -8 -9 (b) Based on the graph, describe the end behaviors of f(x). [2...
Draw the graph of a function f on [0, 4) with the given property: Jump discontinuity at x = 2 and satisfies the conclusion of the IVT on (0, 4]
9. [4 pts] Sketch a graph of a function that satisfies the following conditions lim f(x) = -0, lim f(x) = 0 and lim f(x) = 2. Answer the following questions based on your graph a. Find all the vertical asymptotes of f(x) if it exists. b. Find the horizontal asymptotes of f(x) if it exists.
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)...