1. Let function f(x) be defined by f(x) =7 - Vx2 + 2x +5 (a) Sketch the graph of f(r) by creating a table of points of the graph. (b) Find the domain and the range of f(x) (c) Does f(x) preserves any of the symmetries?

Q: Sketch the graph of a function f (x) using all the information below. f(x) is differentiable on its…

A: The function is differentiable means that the function is continuous in the interval.  The limits of…

Q: 2. Use the ɛ-d definition of the limit of a function to prove that lim = 3. I-»3 T – 2

A: Let  I  be an open interval containing  c , and let  f  be a function defined on  I , except…

Q: Find the limit. /h² + 10h + 11 - /11 lim h→0* h² + 10h + 11 - /11 lim h h→0*

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Q: 1) Consider the graph of f(x) given below and compute the limits: 15- 10 5 -2 -5 -10 -15 a. Lim f(x)…

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Q: The graph of f(x,y)=+1-39xy has х у O One saddle point only. O One local maximum point and one local…

A: fx,y=1x+1y-39xy

Q: Use the Squeeze Theorem to show that lim (x2 cos 12rx) = 0. Illustrate by graphing the functions…

A:

Q: 1. Evaluate the limit for the graph lim f (x). x→1" f(x) 51 4- 3 2 1- -3 -2 -1 1 2 3 4 -1 а. 1 c.…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: For the function f(x) (X^2-3 if -3 ≤x2 C) is f continuous at x=2? D) does lim f(x) exist at x->4^-?…

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Q: Let f(x) = 2x² + 2x + 3. According to the definition, f'(x) = lim h→0 (Enter the limit in reduced…

A: the soluton is following.

Q: 2. Create a graph of a function which satisfies all of the given conditions. D = {x € R|x = -2} •…

A: Given: The function satisfies the condition…

Q: Draw a sketch of the graph of the function g(x) =-x3 + 3x2 +9x that includes all critical points and…

A: Use second derivative test

Q: Consider the graph of the function f(z) = 2x + 24x – 120z + 9 on the interval – 11 < ¤ < 3. - 1728-…

A: topic - absolute maximum and absolute minimum minimum = -119 mmaximum =1609

Q: 3. A set of points in the xy-plane is the graph of a function if and only if every most one point.…

A: Given: A set of points in the xy - plane  is the graph of a function if and only if every ______…

Q: Consider the graph of y=f (x) 5 3 C -5 -4 -3 -2 -1 10 11 -1 Which of the following is true? (A X--3…

A:

Q: (a) find the function’s domain, (b) find the function’srange, (c) describe the function’s level…

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: Give an example of a function and a point x = a such that the limit of the function as x approaches…

A: We find an example of a function and a point x = a such that the limit of the function as x…

Q: 4. Sketch the graph of f. Then identify the values of c for which lim x → c f(x) exists. x², f(x) =…

A:

Q: 1. (a) Use the e - 8 definition of a limit to prove lim(7x + 3) = 38. X5 t010-1123.then fex)-LI…

A: Given,

Q: 02/Use the l'Hopital's rule to find the limits in t3-4t+15 a) lim t--3 t²-t-12 X-8x² X-00 12x²+5x b)…

A: Given problem:-

Q: Sketch the graph of a function f that has a local minimum value at a point c where f 1c2 is…

A:

Q: 1 Consider the function f that is defined over R- {3} by: f (x) =x- 2+ Designate by (C) its…

A:

Q: 9) Find the limit. lim f (z) æ – 2| ( (z) = 2- 2 Graph method

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 1 Let f(x) =. 1,0sx<2 .Determine lim f(x) -x² + 4x – 3, x 22 X2+

A:

Q: 2. Let f be defined by the equation f(x) = V3-x. a. Evaluate lim f(x) %3D x-3+

A:

Q: -2 0 1| 3 What is the 6 5 4 3 2 1 0 -1 -2 -6 lim f(x) for the following graph? X→-3 -5 -4 -3 -2 -1 0…

A:

Q: Determine the global maximum and minimum function a)f (x): x² + 1 in the intervals [0,2]

A:

Q: 2. Let x+1 r -1 Determine if lim f(x) exists. r-1

A: The objective is to determine if the limit exists or not.

Q: 2. Describe the treansformations of the graph of f(x) = x² that lead to the graph of g. Then write…

A:

Q: give an example of a function with two zeros  (f(c)=0), one of which cannot be found by the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 1- Find the limits: Vx- 1 lim xI x-1 а. 2x3 b. lim X- o 3(x-2)2 2x3 c. lim X-2 3(x-2)2 x+1 d. lim…

A: Given: a)  limx→1x−1x−1=?b)  limx→∞2x33(x−2)2=?c)  limx→22x33(x−2)2=?d)  limx→3x+1(3−x)2=?

Q: Suppose f, g, h, i, j, k are functions satisfying • lim f(x) = lim g(x) = 0, x2 • h(x) > 0 for all a…

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Q: 5.3. Show that when a limit of a function f(z) exists at a point 2o, it is unique.

A:

Q: 1. Sketch a graph of a function f(x) with the following properties: f(-2) = 0, ƒ(2) = 0, lim_f(x) =…

A:

Q: Compute the limit as x approaches zero of f(x)=(x^2+3x)/(x^2-x-12)

A: Given : Function f(x)=(x2+3x)(x2-x-12)   To find : Limit of given function when x approaches to…

Q: 1. Consider the given piecewise function f(x), find the limits at the given values. State if the…

A:

Q: b) The function g is defined by 4 x-2 x+2 Show that lim g(x) exist.

A: We will calculate RHL and LHL, to show its existence.

Q: 4. Sketch the graph of f(x) =Va+3 if r<1 and use it to make a conjecture for the values of %3D 2²-1…

A:

Q: 2. Find the composite functions f°g and g°f 3 when f (x) = and g(x) = x² – 1. x+1 Estimate the limit…

A: 2. f(x)=3x+1 and g(x)=x2-13. limx→4x-4x2-3x-4

Q: B. Evaluate the limit of a function using the co indeterminate forms. 6x2-7x-3 1. lim 2х-3 X- V2x-…

A:

Q: 5. Suppose that f is a continuous function such that f(x) > 0 for all æ and f(0) = 4, 1 f'(x) > 0 if…

A:

Q: if the line x=0 is a vertical asymptote of y=f(x) then the function is not defined at x=0 true or…

A: Asymptote is a straight line that continually approaches a given curve but does not meet it at any…

Q: Find the maximum value of 8 > 0 that satisfies the limit claim corresponding to ɛ = 0.1, that is,…

A:

Q: bounded by the graphs of the equat y

A:

Q: Suppose f, g, h, i, j, k are functions satisfying • lim f(x) = lim g(x) = o, %3D x2 • h(x) > 0 for…

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Q: Determine the global maximum and minimum function a)f(x) = 3x2 – 12x in the intervals [0,3]

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Q: f(x) = 2x² - e²

A:

Q: 9. Consider the following information about the graph of a continuous function m(x): • lim→-0 m(x) =…

A: Given: The function mx is a continuous function limx→-∞mx=-2 and limx→∞mx=2 The sign of m' and m''…

Q: a)f(x) = 3(x² – 1)° in the intervals (-1,2)

A: I have solved using derivative test

Q: Suppose that f is a function with f(2) &gt; 0 and f1(2) = 0. If f is a local minimum of f, what do…

A: It is supposed that f is a function with

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.