Based on the graph of f(x) in the figure, determine where f'(x) > 0. Give your answer using interval notation. If f'(x) > 0 from -5 to –3, enter (-5, –3). Iff'(x) > 0 from –5 to –3 and then again at all points after 6, enter (-5,–3) U (6, ∞0). The U symbol can be found by changing "basic" to "sets" in the drop-down menu.

Q: Identify where the function f(x) = x³ – 4x² + 8x + 3 is increasing, decreasing, concave up, and…

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Q: Identify where the function f(x) = x' – 4x + 8x + 3 is increasing, decreasing, concave up, and…

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Q: 4(a). Define the zeroth divided difference by f[x,]= f (x; ). Write the expressions for the first…

A: As many questions are given and its various subparts, I will solve only the first. Zeroth divided…

Q: 62²(2³-128) (³+64)³ Consider the function f and its derivatives f(x)=3+64 f'(x)= -2(³-32) (+64)2…

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Q: draw the graph of a function for which f' and f'' take on the given sign combinations. ++, +−, −−

A: Case 1: ++ Sign of f' = + This implies that the function is increasing Sign of f'' = + This implies…

Q: Find the domain and sketch the graph of the function.

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Q: a) y = -3f(x) Domain: Submit Answer Incorrect. Tries 1/99 Previous Tries Range: Submit Answer Tries…

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Q: A function and its graph are given. (x) = x + 2x2 - 12x – 20 60 40 20 -8 -6 -4 -2 6 -40- (a) From…

A: Answer

Q: The function f(x)= x^2 - 6x+4 on which interval will f(x) have a root?

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Q: The derivative of the function is equal to Select one: O a.e (2* In 2) b. e* (2* In 2 + 1) c. x(2*…

A: Given function is By using the law of exponents x^m/x^n=x^(m-n), we get Differentiating with…

Q: given the function: y = x^3 + 2x^2 + x + 1 a. Find intervals where the function is increasing and…

A: In the question it is asked to conclude some points for the function given.

Q: 9. Use the given graph of f (x) x2 to find a number 8 such that %3D if |x – 1| < 8 then |x2 – 1| <;…

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Q: For this function Y=x^3 + 15x^2 -225x prove that we have a point of inflection at x=-5

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Q: Find the function f if it is known that f prime of x= 3x^2 +6x-7 and f(-1)=10.

A: Given: f'x = 3x2 + 6x - 7 and f-1 = 10 To find: fx

Q: We will sketch the graph of f(x) = x-2/x^2-4. Step 1: Find the domain of f What values of x make…

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Q: for which value of 'a' the function 5x3 – 625, x5

A: As  we know that; If the function is continuous at x=a then;…

Q: Graph the pair of functions and identify the transformation of f(x) that produces g(x). S(x) =lx|-2,…

A: To identify: The transformation of fx that produces gx. Given: The functions are fx=x-2 and gx=-x+2.…

Q: Suppose that f(x) is an odd function and that f(-2)=4 Find the value of f(2)

A: Given data:     The given value of the odd function is: f(-2)=4.     The standard expression for the…

Q: Use the graph of f(x) to find the interval where f''(x) > 0. -5 -4 -3 -2 -1 3- 2- 2 -3₂ 4 T 5 A.…

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Q: Use f (x) = x – 3 and g (x) = to find the - given functions. (2 points each) 1) g • f 2) g • g Find…

A: The given functions are: f(x)=x-3          and          g(x)=xx+3

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.