Consider the function f (x) = 240(G". Drag tiles to the empty boxes to correctly complete each sentence describing the graph of f(x). As x approaches negative infinity, f(x) approaches As x approaches positive infinity, f(x) approaches

Q: Given the graph of f', the derivative of f, locate all extrema of f. JUSTIFY. Minimum at x = because…

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Q: Describe the long run behavior of f(x) - 2? As x → - 0o, f(x) → ? As x → 0, f(x) → ?

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Q: Sketch the graph of f.

A: The function fx=ex2

Q: f(x) = 9x² - 4 at x = 1

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Q: You have 1000 feet of fencing to enclose a rectangular playground and subdivide it into two smaller…

A: Given the perimeter (or) Total length of fencing is 1000 ftFrom the given figure total length of…

Q: Sketch the graph of the function f(x)=-x2 +4x-1. Find the equation of the line that is tangent to…

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Q: Is it possible for a function to satisfy f(x) > 0, f′(x) > 0, andf ″(x) < 0 on an interval?…

A: We want function that is: 1. positive on interval I since fx>0   2. increasing on interval I…

Q: What is the domain of the secant function?

A: Secant function , Sec xWe know        Sec x=1cos xTo find domain Put cos x=0

Q: Find the points of discontinuity of the function f(x)=arctan1x if they exist.

A: The given function is not defined at x = 0. Now the left hand limit at x = 0 is, And the right hand…

Q: 10. Identify three characteristics to the graphed function of f (x) = (÷) +1.

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Q: Can you help me describe the x-values at which the function is differentiable? (Enter the answer…

A: Given function is y=x2x2-81

Q: When a function is discontinuous at x=2, does that necessarily mean that 2 is not in the domain of…

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Q: For a curve to be symmetric about the x-axis, the point (x, y) must lie on the curve if and only if…

A: Consider a curve symmetric about the x axis.Then the point (x,y) lie on the curve if and only if the…

Q: The heights on the graph of f'(x) correspond to the slopes of the lines tangent to the graph of f.…

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Q: Sketch the graph of the function and state its domain.

A: Given a function f(x)=ln 2x To find the domain : The domain is given by all the values of x where…

Q: Where is the function f(x) =| x | differentiable?

A: Given information: fx=x The function, after removing modulus function, y=x=x,      x>0=-x,…

Q: Find f'(x). 6. f(x) = 4x + 7x f'(x) = Compare the graphs of f and f' and use them to explain why…

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Q: Use a graph to explain why. if f is defined at x = a.

A: The given integral is ∫aafxdx Formula used: it is known that the area bounded by the graph of fx and…

Q: Use the graph of the function to estimate the interval on which the function is decreasing y Enter…

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Q: Identify any x-values at which the absolute value function f(x)=5|x+8|, is   not differentiable:…

A: Given: fx=5x+8

Q: Sketch the graph of f (x) = x |x|. Then show that f'(0) exists.

A: If f(x) is a continuous function, then derivative of the function at point a exits if and only if…

Q: 28)Use the graph to solve a) f(x)0 -fx)

A: To solve the given equation and the inequality , straight from the graph of y=f(x).

Q: What is meant by “the value of a function at x”?

A: Let the function be f(x).

Q: Consider the graph of f' (x). At what value (or values) of x do f (x) have a local maximum?

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Q: Sketch the graph of f(x) = x lxl. Then show that f '(0) exists.

A: A function is a relation which maps each value in domain to exactly one value in range.  For a…

Q: Does the function g(x)=2-x  approach a certain real number as the value of x increasing positively?…

A: Given - g(x) = 2-x To find - Does the function g(x) approach a certain real number as the value of x…

Q: Sketch a graph of the function f(x)=0.5sin(3x)

A: The given function is f(x)=0.5sin(3x)   Here 0.5 is the amplitude and 2*pi/3 is the period and we…

Q: Give three characterizations of what it means for the graph of f (x) to be concave up at x = 2.…

A: Consider the given information as The graph of fxto be concave up at x=2. Concave down.

Q: Sketch a graph of the function f(x) = 3 sin(3x). 4 -5/6 -2/3 -/2 -T/3 T/2 2t/3 5t/6 -1 -2 -3 3. 2.

A: Sketch a graph of the function  f(x) = -3sin(3x)

Q: What conditions must be satisfied by a function if it is to be con-tinuous at an interior point of…

A: A function is continuous at an interior point c of its domain if

Q: You have 1000 feet of fencing to enclose a rectangular playground and subdivide it into two smaller…

A: The amount of fencing required would be equal to the sum of length of all the sides including the…

Q: f(x)%3D2X-1

A: Given, f(x) = 2x-1

Q: Sketch a graph of the function f(x) : – 2 sin(x + n). - 3- -Зл/2 -5л14 -3T|4 -T/2 -T/4 Зл14 5л14…

A: Graph of sine function

Q: The slope of the line tangent to the graph of f(x) = 18 – 5x² at the point x = -8 O 20 O 10 O 160 O…

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Q: Find the x-values at which f is differentiable. (Enter your answer using interval notation.)

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Q: 16. Sketch the graph of f(x)=(4-x)(x+1)(x+3)*. Be sure to label all x- and y-intercepts.

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Q: State the exact practical domain of this function in interval notation: x ∈ ___________________.

A: Let us find the domain of the function in the next step.

Q: Give the three conditions that must be satisfied by a function to be continuous at a point.

A: We have to write  the three conditions that must be satisfied by a function to be continuous at a…

Q: List the points in the graph in the interval 1 <x<7 at which the function is not differentiable 18-

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Q: At what x value does the local maximum occur for the function x^3 -4x-2 ? Give your answer in…

A: It is maximum value problem.

Q: Use the graph to determine the values of x at which the function is not continuous.   x=

A: Given the graph of the function

Q: Sketch the graph of the function f(x) = ln x − 4 and state its domain.

A: Consider the function: fx=lnx-4 To sketch the graph of the function:

Q: -4

A: Function f is differentiable at x=a if and only if f'(a) exists. f'(x)= (2/5)(x-4)^(-3/5) f'(x) is…

Q: Assume that functions f and g are differentiable with f(-3)=-3, f'(-3)=5, g(-3)=-4, and g'(-3)=-3.…

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Q: From the graph of f(x), state the reason why f(x) is discontinuous at x = 4 , x = 0 , x = 2 and x =…

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Q: Select all of the graphs that depict a function which is not differentiable at x=0.

A: Here, we need to select all the graphs that depict a function which is not differentiable at x=0.…

Q: Sketch a graph of the piecewise defined function.

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Q: List the points in the graph in the interval -1<x<7 at which the function is not differentiable.

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Q: 1. Write an equation that expresses the fact that a function f is continuous at the number 4.

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