3. Find each of the indicated quantities for the piecewise function given below or indicate that they do not exist. Is this function continuous at x=2? Why or why not? (Зх — 1 if x < 2 if x = 2 if x > 2 - f(x) = 7 x + 3 lim f(x) = x→2- lim f (x) = x→2+ lim f(x) = X→2 f(2) =

Q: 21. Determine the following function if continuous at 2x g(x) s6) = ; at x = 3 \x² – 4x + 3 A.…

A:

Q: 30. Consider the function defined by 0ifx 1 Sketch this graph and find all points where the graph is…

A:

Q: f(x) = at x = 1 X-2

A: A polynomial function is always Continous in its domain

Q: DETERMINE IF THE FOLLOWING FUNCTION IS CONTINUOUS AT THE GIVEN VALUES OF X.  f(x) = 1/x^2 - 9  a.…

A:

Q: im (x²-C² if X<4 1 f(x) = {(x+5 x²-c² (x + 5 if x = 4 lim

A: Given:-x2-c2   if x&lt;4cx+5    if  x≥4f(x) is continuous at x=4solution:-if f(x) is continuous at…

Q: 2. Given the function f(x) = ., determine if the function is continuOus or not. Identify the point/s…

A: Given function f(x)= (x2-1)/(x-1) is continuous or not , determine type of discontinue.

Q: 1. Given the graph of f', the derivative of f, locate all extrema of f. JUSTIFY. Minimum at x =…

A: To find the minima and maxima from the graph of f'(x)

Q: 4. Use limits to determine the values of a and b that guarantee the function below is continuous.…

A:

Q: Consider the piecewise defined function x² + 2x – 1 if x 0 ° Which of the following statements is…

A: As we know that,  the function fx is continuous at a point  x=a if the left-hand limit is equal to…

Q: consider ihe foriowing polýnomiai functions 2 f(x) =-2x"+8 .hx): 3x(x3ー4) 4 please graph BötH

A:

Q: If the limit of f(x) is 1 as x approaches 1 and the limit of g(x) is infinity as x approaches 1,…

A: we have to find the limit of the following

Q: 1. What is the definition of what it means for f(x) to be continuous at x = a? Discuss the ways that…

A: In this question, we need to define the meaning of f(x) to be continuous at x=a and different ways…

Q: Is there an unbounded function f:[0,1] →R where it is discontinuous only at a single point in [0,1…

A: f: [0, 1] →R Domain: [0, 1] The function is discontinuous at a single point of the domain.   Let's…

Q: Suppose we wish to compute the value of the continuous function f(x) for a given value of x. This is…

A: Solution: Explanation of equation (7.117) in the book: Given y=fx    ......(1) Now, (in the book)…

Q: On what domain is the function f(x)=1+√−6−3x continuous?

A:

Q: Q3/ A) Decide if the following function is continuous using limits. 2х x1.

A:

Q: We want to study the following function on the interval I = [-2; +∞| 3x2 + 4x + 3 g(x) = x² +1 a)…

A:

Q: In(x²) + 6 Consider the continuous function h with h'(x) = 3 3.1 Find and represent the domain of…

A:

Q: 10 if x c - everywhere then: С —

A:

Q: x+4 Which will prove that f(x) = %3D x2+16 is continuous at C= -4? 1. f(-4)=0 II. lim f(x)=0 III.…

A:

Q: 3. Sketch the graph of a function that is continuous, but not differentiable at I= 1.

A:

Q: f(x): at x = 3 X-3 f(x) = at x = 0 f(x)%3D%x6 at x - 0

A:

Q: 7. Because of their connection with secant lines, tangents, and instantaneous rates, limits of the…

A: Answer

Q: We want to study the following function on the interval I = [-2; +[ %3D 3x? + 4x +3 g(x) : %3D x² +…

A:

Q: 2, if x 1

A: The given function,  f(x)=1x,if x≤1x2-1,if x&gt;1

Q: -7 if x 2. Sketch the graph of the function and use the limit definition of the derivative to show…

A:

Q: Given the piecewise function f(x) = Why is f not differentiable at x = 5? Of is continuous at x = :5…

A: This question is based on continuity of function.

Q: True or false 1. If the left- and right-hand limits of f(x) as x→ c exists and are equal,Then f(x)…

A: If f(x) be a function on a subset of real number and c be point in domain of f then f is continuous…

Q: When a function's y-value approaches either +00 or -00 as x approaches c, the Limit Does Not Exist…

A:

Q: (6) Draw the graph of a (a) function ƒ satisfying Y S(1) = 2, S is continuous at 1. What is lim,→1…

A: f(1)=2f is continuous at 1

Q: 4. "The function f(x)= x-1 is continuous on(-o, 00)". Is the statement true or false? If it is…

A: Hi there, i have explain that if x tends to 1 from right side the function will give +1 and while…

Q: Determine if the function is continuous or discontinuous at x = 2. x2 - 1, if x 22 h(x) = 2x-1, if…

A: We have to find

Q: Are the following statements true or false? I. L'Hopital's Rule says that the limit of a function…

A: 1. False  Limit of a function is equal to the limit of derivative of numerator and denominator.   2.…

Q: Consider the function fcx) = (メフチ 5 E- xet X if x >5 if メ=5 5-X S> X f! Is fe) continuous at x=5?…

A: NOTE: Refresh your page if you can't see any equations. .

Q: 5. Is the function given by F(x): = x = -1? Why or why not? Vx continuous at

A:

Q: Q3) If the function {2x +1 lx² + 2 x> h) x <hS f(x) = having limit at x = h. Find the value of h.

A:

Q: Give the graph or the formula of a function that is continuous but not differentiable at x=0.

A:

Q: 8. Sketch the graph of the following functions and the indicated limit if it exists. Determine if it…

A:

Q: 3: determine whether following function are continuous ore not x² 4 f(x) X 2 x-2 4 X = 2

A:

Q: 5) Show that the function f(x)=-÷+1 below is continuous at x = -1. x-1 2- -3 -1- -2 1.

A: A function f(x) is continuous at x=c if  We have to show that is continuous at x=-1.

Q: _18. Determine the following function if continuous at f(x) = ) `x + 1' ; at x = 0

A:

Q: Suppose f(x) is a continuous function with f(-2) = 4 and f(1) = -1. What can we conclude about

A:

Q: Suppose that ƒ is a continuous and differentiable function s 2000 and that f'(x) > 7 for all x. What…

A: Lagrange's means value theorem: -Let f: [a, b] R be a continuous function on [a, b] and…

Q: 2. Suppose that f(x) is a function continuous for every value of x whose first derivative is f'(x) =…

A: Given, f'x=21-x21+x2                         ...(1) and f''x=4xx2-31+x22

Q: f(0) = 1, f"(x) < 0 for x # 0, lim f'(x) = +0, lim f'(x) = -00

A:

Q: Consider the following piecewise defined function: Sr+5 | 4Vx +1 if x 2 3 if x < 3 f(x) = (a) Show…

A:

Q: What value should be assigned to f(2) so that the extended function is continuous at x=2

A: Given graph of f(x)

Q: x+4 Which will prove that f(x) is continuous at C= -4? x2+16 1. f(-4)=0 II. lim f(x)=0 III. f(x)=…

A:

Q: If functions ƒ(x) and g(x) are continuous for 0&lt;=x &lt;=1, could ƒ(x)/g(x) possibly be…

A: According to continuity theorem if f(x) and g(x) are continuous on [0,1] then if g(x) ≠ 0 on [0, 1]…