1. f(x) = v1- x²; [-1,1] -x+3; x < -2 4; -2

Q: A piecewise function is given. Use properties of limits to find the indicated limit, or state that…

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Q: uppose f and g are continuous functions such that g(3) = 3 and lim [3f(x) + f(x)g(x)] X → 3 = 24.…

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Q: Piecewise-Defined Function Discuss the continuity of x for x 3

A: Given:             Fx=x    for x&lt;13    for 1≤x≤3x    for x&gt;3 Fx is continuous at x=1 If…

Q: Use the definition of continuity and the properties of limits to show that the function is…

A: Given,          f(x) = (x+3x⁵)⁴

Q: Discuss the continuity of the function on the closed interval. Function Interval 6 - x, f(x) = 6 +…

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Q: Find the one-sided limits of f (x). S-5x + 7 - 8x3 – 6 if x > 3 if x < 3 f(x) = Step 1 of 2: Find…

A: Given , =?

Q: Use the graph of the function f shown to the right to estimate the indicated function values and…

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Q: On the provided axes, draw the graph of a function f which satisfies all of the given conditions.…

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Q: Given the function below, determine if the function is continuous at the point 2 = 1. If not,…

A: Given function is fx=3x-4,-4x&lt;1x=1-2x+1,x&gt;1 To determine whether function is continuous at…

Q: 10x3, 5-x, = x < -2 x ≥ −2 Let f(x) 1. f(-2)= 2. lim f(x) = x→→2+ 3. lim f(x): = x→→→2 4. lim f(x) x…

A: The solution of 4 and 5 are given in the next steps.

Q: EVALUATE: A Sketch the graph of the function and find the indicated limit if it exists, if the limit…

A: Since you have posted multiple questions I can do first question as per our company guidelines…

Q: Sketch a possible graph of a function that satisfies the conditions below. Determine whether f is…

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

Q: A function f is even if f(-x) = f(x) for all x in the domain of f. If f is even, with lim f(x) = - 2…

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Q: x + 리| f(x) = a = -2 x +2

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Q: ((x + 3)2;x 1 f(x) = %3D 1. lim f(x) = x--5- 2. x→-5+ lim, f(x) = %3D 3. lim f(x) = %3D x--5 4.…

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Q: Does lim f(x) exist? X5 O Yes O No Does lim f(x) equal f(5)? X-5 O No O Yes Is the function…

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Q: Let f(x) 4x + 25 if x - 5 if x = -5 2 Select all statements below that you agree with. Note: You…

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Q: a. Draw a graph of a function that satisfies the following conditions. Then, state if the function…

A: Let us define a function which satisfies the given condition.f(x)=6-2x-2 when x≠34 when x=3 Now we…

Q: Using one sided limits, determine whether or not the function f(r) below is continuous = [2-1, for r…

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Q: A piecewise function is given. Use properties of limits to find the indicated limit, or state that…

A: The piecewise function is given as follows: fx=x2+5     if x&lt;2x3+1     if x≥2 (a) Given limit:…

Q: using the definition of continuity and the properties of limits to show that the function is…

A: We have to test the continuity

Q: A piecewise function is given. Use properties of limits to find the indicated limit, or state that…

A: Given: fx=x2-9x-3  if x≠35            if x=3

Q: f(x) = -2x2-2x+4 is %3D x-1

A: Follow the procedure given below.

Q: Given the information below, what can you conclude about the function? f (2) = -4, lim f (x) = -4,…

A: 1.) The given function is fx=3x-22x2+7x-4. The function is not defined at the points where the…

Q: A piecewise function is shown. Use the function to find the shown indicated limit, or state that the…

A: Given: fx=x4-16x-2if x≠232if x=2 To determine: limx→2- f(x)

Q: X Determine the value of each limit for f(x) = (x+ 2)? (a) lim f(x) (b) lim f(x) X→-2 X→-2"

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Q: x - 2 Draw a sketch of the graph of the function f(x) = - x² -1 if x 0 (a) lim f(x); (b) lim f(x);…

A: Function is not continuous at x=0

Q: Example Let f(x) = /x. 1. Find f (x) using the (limit) definition. 2. Find f'(4). 3. Find the…

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Q: A piecewise function is given. Use properties of limits to find the indicated limit, or state that…

A: f(x)=x2-16x-4if x≠47if x=4

Q: 4. f(-5) = 5. Is the function continuous at x = -5? If not, what type of discontinuity occurs? 6.…

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Q: In each part below, give an example of a function which satisfies the given criteria. Justify that…

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Q: Direction: Check for the existence of the following limits. If it exists, determine the limit and…

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Q: Direction: Check for the existence of the following limits. If it exists, determine the limit and…

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Q: Evaluation of functions. For each of the following, find the required function. Vx2+9 1. If f(x)…

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Q: Use limits involving too to describe the asymptotic behavior of the function from its graph. (If the…

A: Explanation of the answer is as follows

Q: The limit represents f '(c) for a function f(x) and a number c. Find f(x) and c. 2 Vx - 10 lim x- 25…

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Q: x2 +2, x< -2 Let f(x) = Compute the following limits or state that they do not exist. Vx+2, x2 - 2…

A: Given that  f(x)=x2+2, x&lt;-2x+2,x≥-2

Q: www. 1. Below is the graph of the function =f(x) For-each-point-(a, b, c, and-d) state…

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Q: Piecewise-Defined Function Discuss the continuity of x for x 3

A: Here given function as fx=xx&lt;131≤x≤3xx&gt;3 It is a branch function, thus the possible point…

Q: Test II. Determine whether the function f(x) x +6x + 9 is continuous at x = -2. Sketch its graph…

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Q: The limit represents f '(c) for a function f(x) and a number c. Find f(x) and c. 4√√x-8 lim X→4 x-4…

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Q: Discuss the continuity of the function on the closed interval. Function Interval 9 - X, f(x) = [-3,…

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Q: A) lim x→3−    f(x)= B) lim  x→3+    f(x)= C) f(3)= D) Determine whether the function f is…

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Q: Part II 1. Let f be the function given by f(x) In x %3D for all x > 0. (a) Find f'. (b) Find…

A: Given function is, (a) The deferential of above function with respect to x is,

Q: 5. Find all constants a, b that make f continuous everywhere. (Use limits and definition of…

A: With the help of limiting criteria we have to find the values of a and b.

Q: Given the function below, determine if the function is continuous at the point = why. 3. If not,…

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Q: A. Find the limits of the function f(x,., -2 2 1. lim f(x)= x--1+ 2. lim f(x)= X-4- 3. lim f(x)= 4.…

A: The graph of the function is  To evaluate:  1. limx→1+fx2. limx→4-fx3. limx→4+fx4. limx→1-fx5.…

Q: 2 10x - 160 lim X-4 X→4

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Q: Definition: The formal definition of “the limit as x approaches a of the function f (x) is L" is ...

A: Given: The formal definition of "the limit as x approaches a of the function f(x) is L" is ______.