Sketch the graph of a function f(x) which has all of the following properties : (i) f has domain (-∞0, –2) U (–2, ∞) (ii) f has range (-5, )

Q: Give an example of a function whose domain D has three elements and whose range R has two elements.…

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Q: for the quartic function represented by this graph?

A: In the given question, the concept of quartic function is applied. Quartic Function A quartic…

Q: 3. Let f(x) = In (5x² + 2x). %3D Graph both f (x) and f'(x) with your graphing technology. Find…

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Q: Determine the intervals on which the function is increasing and the intervals on which the function…

A: According to question given thatf(x)=1-x2x

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 15 + 4x –…

A: If there is a absolute minimum or maximum of a function f(x) at x=a, then the first derivative…

Q: Discuss the continuity of the function on the closed interval.                              g(x) =…

A: We can not have a negative value under the square root.  So,

Q: (3 - 35. f(x) = if x 2

A: We need to sketch the graph of the following function :

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

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Q: Find f'(x). f(x) = x5 – 2x3 + x – 1 %3D f'(x) = Compare the graphs of f and f' and use them to…

A: Given: f(x)=x5-2x3+x-1 To find: f'(x)

Q: Suppose that a function f(x) is defined on an interval (a, b). a) Is it possible that f(x) has no…

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Q: The graphs of a function f and its derivative f′ are shown on the same set of coordinate axes. Label…

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Q: Sketch the graph of the piecewise function q(X) using Xy-charts. x+ 3 if x 1.

A: Solution -  We have been q(x) in three forms depending on the domains- q(x)=x+3 ,         if…

Q: so if|x| 2 43. f(x)

A: Following is the graph plotted for individual functions.

Q: Draw a graph of function a ド」 f(x) ニ 2, メ= -X +1, ×7 |

A: See attached file for a step by step explanation.

Q: The function f(x) = 3x + 2x has one local minimum and one local maximum. This function has a local…

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Q: Sketch a graph of a function ƒ, where ƒ(x) < 0 and ƒ′(x) > 0for all x in (0, 1)

A: Given that, ƒ(x) < 0 and ƒ′(x) > 0 for all x in (0, 1). The f '(x) >0 on (0, 1) implies…

Q: 1) If possible, give an example of where a function is differentiable at a point but not continuous…

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Q: Sketch the graph of a function on the interval [3,9] that has an absolute maximum at x=5 and an…

A: Ques:-   Sketch the graph of a function on the            intervel 3,9 that has as absolute…

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: Find the points at which the function f (x) is continuous and the points at which f is…

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Q: sketch the graph of each function and determine whether the function has any absolute extreme values…

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Q: Sketch the graph of the function by first making a table of values. x)-- x) = -x 24 13 22 Sketch the…

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Q: Sketch one possible graph of a function f(x) defined on R that satisfies all the listed conditions.…

A: Plotting Graph.

Q: My graph is decreasing on (- ∞, a) and increasing on (a, ∞), so f (a) must be a relative maximum.…

A: Relative maximum is a point where the function changes direction from increasing to decreasing,…

Q: (1+ 3x X 1

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Q: The function f(x) = 2 x^3 - 39 x^2 + 216 x + 10` has one local minimum and one local maximum. Use…

A: maxima minima

Q: Sketch the graph of f(x) = x3 − 6x2 + 12x − 11. Determine the domain, critical points, symmetry,…

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Q: The piecwise function g(x) is defined by x + 2 when x 1. What type of discontinuites are present in…

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Q: Let f (x) = e-*x². Use calculus (derivatives) to find the absolute maximum and absolute minimum of f…

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Q: 11. For the function f(x)- a) Specify f"(x): b) Specify the domain & range of f(x): i. Domain: ii.…

A: To evaluate the inverse of a function y=f(x) we need to replace y by x and x by y in the given…

Q: Sketch a graph of the function f(æ) = 3 sin(,2) – 1 6+ 4 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 3 4 5 6 -2 -3…

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Q: (5) The point p = 2 is a fixed point of the function g(x) = - +1. Show if it is attractive or…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = In(x2 + 3x…

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Q: 2. Sketch the graph of a function with domain D = (-o, -2) U (-2, 2) U (2, 00) and Range R= [-5,…

A: Given domain is (-∞, -2) U (-2,2) U (2,∞) That means x=-2 and x=2 are not in the domain.  This means…

Q: A piecewise function f is defind by [1-x, x1.

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Q: Sketch the graph of the function. (Restrict your graph of the functlon to the domain [0,5).) g(x) =…

A: To sketch: The graph of g(x)=3x in the domain [0,5)

Q: 1- 3x and Plot the function f(x)= describe its asymptotic behavior.

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Q: The point (2,f(2)) is an inflection point .1 for the function f when f(2) = 0 %3D

A: Given statement,            The point (2, f(2)) is an inflection point for the function f when…

Q: 0. if a 2

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Q: Sketch a graph of the function: y = * Use deri y of a graph from a graphing calculator will not be…

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Q: Sketch the graph of f'(x) for f(x) = x³ + x³ . Label at least 3 points on this graph .

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Q: even function of x if f(-x) = f(x) symmetry about x-axis Other:

A: Even function of x if f(-x)=f(x), symmetry about x-axis (A) True (B) False (C) Other

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 17 + 4x -…

A: Given function f(x)=17+4x-x2   ; [0,5]

Q: Discuss the continuity of the function on the closed interval.                        Function g(x)…

A: Givengx=1x2−4  Interval [-1,2]

Q: Sketch the graph of a function f such that: f'(-2) > 0, f'(0) = 0, f(2) < 0, and f(0) = 0 %3D

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Q: Investigate the connections between key properties such as increasing/decreasing intervals, local…

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Q: Sketch a possible graph of a function that satisfies the given conditions. f(-2) = 2 lim f(x) = 1…

A: Step:-1 Given that  f(-2)=2limx→-2-f(x)=1limx→-2+f(x)=-1 f is continuous but not differentiable at…

Q: Exercises 63-65 will help you prepare for the material covered in the first section of the next…

A: 63). Given: fx=3x+12. To find: f-1 Solution: We have fx=3x+12. Put x=-1 in fx. f-1=3·-1+12=-3+12=9=3…

Q: 2х-3 Find the interval of f (x) = 5-4х that will make the function continuous

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Q: 1) Find a function y whose graph passes through the point (1, 2) and satisfies x?y' = y.

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…