Indicate whether the following statement is true or false. The function f (x) = |x| is continuous at every real number. %3D O True O False

Q: Provide an example of each or explain why the request isimpossible. (a) Two functions f and g,…

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Q: Let f(x)= = m= mx - 12 if x Next Question

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Q: Given the graph below, determine the function H(x) is continuous at the following values of x: 1.…

A: A function f(x) at a point x=a is continuous if and only if limx→a-f(x) = limx→a+f(x) = f(a) Here 1)…

Q: Let f(x)={mx−17 if x<−10               {x^2+3x−7 if x≥−10 If f(x) is a function which is…

A: Topic = Functions

Q: For what value of a is the following function continuous at every x?

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Q: Are the following functions continuous? Explain X, x < 1 f(x) = x2. 1 < x x < 3 g(x) 3 < x

A: Given, f(x)=x    ,x≤1x2   ,1&lt;xg(x)=x     ,x≤3x2    ,3&lt;x The function f(x) is continuous, To…

Q: Let f(x) be a continuous function. If f(c) is an absolute max or absolute min, then c is unique. O…

A: Given,  fx is a continuous function fc is absolute max or absolute min , then c is unique.  We have…

Q: Evaluate and tell whether the given function is continuous or not. 1. f(x)=Vx+ 3 at x=3 2. f(x)= x-9…

A: Let's Solve,

Q: Let f(x) = {4x-5, if x &lt;= 7                      -3x + b, if x &gt; 7 If ?(?)f(x) is a function…

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Q: Show a complete solution for each item. Determine whether each of the following functions is (a)…

A: As per the Bartleby's guidelines , We can solve only one question.Please re-post the other…

Q: 1) Find the values of a and b that make f continuous everywhere. x' - if x<2 х—2 f (x) = { ax? –…

A: NOTE: Refresh your page if you can't see any equations. . the function is continuous everywhere  so…

Q: Is the following piecewise function continuous? -I – 1 if x <-2 f(x) = 3x +2 if - 2 < x < 3 2x – 1…

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Q: Let f(x) = { 8x6 if x 10 If f(x) is a function which is continuous everywhere, then we must have b=

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Q: x+2a, if x<1 What value for a would makef (x)continuous everywhere? Let f(x)= (ax? +7x-4, if x21

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Q: say whether the function graphed is continuous on[-1, 3]. If not, where does it fail to be…

A: The graph of a function is said to be continuous in an interval if there is no break in ite graph at…

Q: Given the graph of f(x), the function is continuous from the left at x = -1. True or False? Select…

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Q: Suppose f : [a, b] → R is is continuous and such that fg = 0 for all continuous functions g : [a, b]…

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Q: Suppose f:R → R is a continuous function. For each general statement, decide whether it is True or…

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Q: Is the following piecewise function continuous? if x < 0 0<if x < 3 if 3 < x f(x) = -3x² x - 3, . -x…

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Q: Let f(x) | x? + 4x – 5 if x > – 6 - If f(x) is a function which is continuous everywhere, then we…

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Q: Find the values of a and b that make f continuous everywhere. x2 – 4 X - 2 ax? – bx + 3 if x < 2…

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Q: I Determine whether each of the following functions is (a) continuous (b) differentiable 1. f(x) =…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: Determine whether the following function is continuous at a. f(x) = /x- 7; a = 1

A: Topic :- Continuity

Q: 27. Which of the following function is continuous at x = 2? 2 2-3x A. f(x): = C. g(x)= = x-2 2-x…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find the values of m, & k, for which the following function is continuous everywhere 2x3 + x +7 if x…

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Q: Find cc such that the function is continuous everywhere. f(x)={x^2−3   x≤c        {8x−19  x>c c=

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Q: For what value of k is the following a continuous function?

A: Function is continuous if   limx→2-f(x)=limx→2+f(x)=limx→2f(x)

Q: 15 10 8 10 Evaluate f(0) (a) Estimate f(4) (b) 00 2.

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Q: Are the following functions continuous? Why? 1. f(x) = x+3 at x = 2 2. f(x) = x-9 %3D -at x = 3 x-3…

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Q: B- If f(x) = is continuous at x = Find A? |Ax2 x2

A: The explanation of the answer as follows

Q: 2. h(x) = 플ox=1 x+1

A: Given a function : h(x)=x+1x2-1 We need to show if it is continuous at x=1 or not. Let's begin.

Q: Which of the following is continuous at all points? x²-4x-5 x2+2x-35 A) f(x) = B) f(x) = x-5 x-5…

A: Note : “Since you have posted multiple questions with multiple sub-parts, we will solve the first…

Q: For what value of a is the following function continuous at every x? x - 153, x< 17 f(x) = ax, x2 17

A: A function fx is continuous at a point x=a, if following three conditions will be followed, 1. the…

Q: Find the values of a and b that make f continuous everywhere. x² - if x < 2 X - 2 ax? - bx + 1 4x —…

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Q: D. For what values of a and b is Continuous at every x? -2, - b, f(x) = 3, -1 <x < 1 ах

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Q: The function ƒ (x) = |x| is continuous at every real number. %3D False True

A: Let's find.

Q: d If f is a continuous function, what is the value of dr dr? Explain your answer.

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Q: f(x) = 2x² – x + 6 for all values of x %D

A: Given function is, f(x)=2x2-x+6

Q: Find the value of a that will make the function continuous at every real number. x 2

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Q: For what values of b is the given function continuous for every x? X - b b + 1 g(x) = x²+b x > 0

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Q: Indicate whether the following statement is true or false. The function f (x) = |x| is continuous at…

A: Solve the following

Q: Find the value of a that will make the function continuous at every real number. x*, f(x) = {ax? +…

A: We have to find the value of a that will make the function continuous at every real number.…

Q: Is the following function continuous? x2 – 9 if x 3 if x = 3

A: The function is given by

Q: 3. Which of the following functions is continuous?

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Q: Show that the following functions are continuous: (a) f (x) = k (k any constant)          (b) g(x) =…

A: (a) Given:          fx=k k any constant Let c be any real number f is continuous at x = c if…

Q: Evaluate and tell whether the given function is continuous or not. 5. f(x)= x² + 2x – 4 at x=4

A: See the details solution in below

Q: Determine if the following functions are continuous on the interval I. 2 (b) f(x) = x´ – 5;I = [-…

A: follow next step

Q: Let f(x)={4x−4 if x≤6               {−5x+b if x>6 If f(x) is a function which is continuous…

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