What is the graph of a function f that satisfies the following con- ditions: • f'(x) > 0 on (-00,-1) U (4, 00) • f'(-1) 0 and f'(4) = 0 • f"(x) > 0 on (2, 00) • f"(x) < 0 on (-00, 2) • (2, 2) is the only inflection point of f(x) 21 1- -6-5-4-32 1 2 3 4.5 6 -2 -2- -3 -3 -4 -5- 6- -6 ovo

Q: Let f(x) be a function with domain (-00, 3) U (3,00). Use the graph of f'(x) below to determine the…

A: Step 1:

Q: -6 -110 -5

A:

Q: Property Interval f'(x) > 0 (-0,-2), (-2,0), (4, 6) f'(x) 0 f"(x) < 0 Asymptote at r = -2 and a = 2…

A: Given the properties of the function,  f'(x) &gt; 0  on intervals That means the graph of f(x) is…

Q: 13) Graph if f(x) = x when x = -1,2,4, or 8; f'(x) = 0 if x = -1,2,4, or 8; f'(x) 0 throughout…

A: Given: 1. fx=x when x=-1,2,4,8.            2. f'x=0 when x=-1,2,4,8.            3. f'x&lt;0 for…

Q: Consider the function g∶Z⟶Z defined by g(n)=n^2+1. Find g(1) and g({1}). Then find g^(-1) (1),g^(-1)…

A: According to the given information, Consider the given function defined as:

Q: (0,F) (L.F) (L+ F, 0) (L+F+ LF, 0) 2. The following is the graph of f'(x).

A: From the graph,when 0≤x≤L, f'x=F Therefore, f(x)=∫f'xdx=∫F dx=Fx+cc being an integrating constant…

Q: Compute f’(-2) using shortcut rules. f(x) = 5x + 9

A:

Q: Show the graph that satisfies all of the given conditions. Please explain your answer.  f'(-2) =…

A:

Q: is there an easy way to determine what function, on a graph is f, f' , and f''

A: I have given an answer in step 2.

Q: Sketch the grTaph of a function f that satisfies all of the given conditions (@) /(-1) = 4, f(1) =…

A:

Q: (3, -13. -mplete the following statements. x) > 0 on the interval(s) x) 0 on the interval(s)

A: Solution of the problem as follows

Q: es of f'(-7), f'(-4) & f'(-2)

A: at x= -7 graph is increasing At x = -4 graph gives local Maxima At x = -2 graph is decreasing

Q: Assume that for a function f(x), f'(x) « O on the interval (-0, -5) and f'(x) » O on the interval…

A: From the given definition:  f ' (x) &lt; 0 when x &lt; -5 so graph must be decreasing in this…

Q: 5. Use the graph of ƒ '(x) shown and the fact that f(2) = 14 to find the value of f(12). f’(x) 8 3…

A: Notice that the graph of f'(x) on 2,8 is a upper semi circle with center (5,0) and radius 3.…

Q: (x) > 0 and f"(x) > 0 for all x y y y

A:

Q: Suppose that f(-4)=3, f'(-4)=0, g(-4)=3, g'(-4) = 4. Use this to compute (f•g)'(-4)

A:

Q: Sketch the graph of a function that satisfies all the given conditions.

A: We have to sketch a graph satisfying the given condition.

Q: 15. For f (x) = x ^ 3 -12x + 10 the interval where f (x) is concave downward is: A. (0, ) b. (-00,…

A:

Q: Find domain of the follaw ing fanctionss (^) f(x)= In-2) (6) 67 F=

A: fx=lnx-2 the log function is defined for only positive real numbers so the value of x-2 should be…

Q: Sketch the graph of a single function that has all of the properties listed. a. Continuous and…

A: The given properties are: a)-  The function is continuous and differential for all real numbers. b)-…

Q: Sketch a possible graph of a function that satisfies all of the following conditions: f'(2) = 0,…

A:

Q: Given the graph of ƒ' (x) below, where the Dom f (x) = (-∞, ∞) . Find ALL interval(s) for which f""…

A:

Q: Shown is a graph of y=f(x) Evaluate f^-1(1)

A: Given, y=f(x) Graph

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.