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: determine the positive and negative intervals of the equation f(x)=x2e17x

A: Note that x2≥0 for all x. And, e17x>0 for all x.   That means f(x)=x2e17x≥0 for all x.

Q: After Julia has driven for a quarter of an hour, she was 170 miles east from Denver. After driving…

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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: Evaluate Function  g(3,4) when g(x,y)=x-6y/x^2+y^2 a. -25/21 b. -5/21 c. -21/25 d. -21/5

A: For this problem, we have to substitute the values of x and y in given function g(x,y).

Q: Consider the following functions Step 3 of 4 Find/gXI). Answer /=(-24(1-1). (4,4)) 5 Points and x=…

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Q: An online store owner has 2,000 orders to fulfill. Each day, the store owner aims to complete…

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Q: Let f (x) = x / x - 1 and graph the function f (f (x)) in the window [ -15, 15] by [ -10, 10]. Trace…

A: Consider the provided function, fx=xx-1 Find the formula of ffx. We can write as, ffx=f∘fx. So,…

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

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Q: ƒ (x) = − ½-|x| − 14x^8 +7   is this a function if so how and why

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Q: The graph of the function f(x) is shown below. It consists of a semicircle and two straight line…

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Q: Graph y=-  sin (-px) for  - 3 <= x <= 3

A: We have to graph y=-sin-πx, where -3≤x≤3 We know that sine is odd function. So, sin-x=-sinx Given…

Q: If f(x) =x^2 +x+1 and g(x)= x-5, find the following. g•f

A: The functions are given by f(x) = x2+x+1 and g(x) = x-5 To evaluate : The expression for g∘f

Q: state the domain in interval notation for y= 3x^4 - (√2)x^2-22/3

A: Given the polynomial function .

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: In the video, you were given properties of a function and were asked to sketch its graph. The graph…

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Q: Solve for x. Express your answer using interval notation. x' -7x+6<0

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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: The graph of y = f(x) is transformed by a horizontal expansion by a factor of 4 and a vertical…

A: Use transformation of functions

Q: -5x²-2x+8 f(x) = -x ³. y Domain: (-0909) x-int:y-int: (48) Range:(-60,00) Turning Point(s):…

A: We need to solve for given function.

Q: Consider the function f(x)=x/x^2+12x+32. Determine the intervals on which f is increasing and…

A: We have to determine the intervals at which the function  is increasing or decreasing.

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.