Flag question (-x3 – 4x + 20 ,x > 3 2 - 7x , x< 3 Determine whether the function f(x) is continuous at %3| x = 3. Justify the conclusion.

Q: 2. When can we say that a function is continuous at an interval?

A: We know that when a function does not have any discontinuity, then it is a continuous function. It…

Q: Determine the value of the constant a for which the function f(x) is continuous at -4. x + 7x + 12 x…

A: Given function is fx=x2+7x+12x+4 if x≠-4a                  if x=-4 We have to find the value of a.…

Q: Use the First Derivative Test to locate the x-value of all extrema. Classify if it is a relative…

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Q: True or False The graph of the function f(x) = x is increasing on the interval (0, 0). (pp. 69-77)

A: Given :             The function f(x) = x2.

Q: g(x) = at x = 2 %3D x+2

A: Definition of continuous function helps to check whether the given function is continuous or not. A…

Q: Determine the value of x of the continuous function: * (x – 1 x 3 f(x) = {3x – 3 Зх — (-4x + 3

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Q: Find all absolute and relative extreme values of the function f(x) = -x° + 2x2 - x - 1, on the…

A: Here we have to find the relative and absolute extreme values

Q: 50. Is the function given by f(x) = 3x - 2 continuous at x = 5? Why or why not?

A: Given: fx=3x-2 Concept Used: Linear function is continuous everywhere.

Q: Find intervals where f(x) = 2x3 - 18 x is increasing or decreasing. %3D Increasing Decreasing Done

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Q: 4x -5x-6 for x +2 Given f(x) 2-V2x 4 for x = 2 Is the function f continuous at x = 2 ? Give…

A: A function f(x) is continuous at x = a if limx→a+f(x)=limx→a-f(x)=limx→af(x).

Q: x² -x-2 Is the function f(x) : Fcontinuous at x = 2? Why or why not? x-2

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Q: 2.) Identify intervals where the function is increasing or decreasing f(x) = x³ + x² – x+1

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Q: continuous at x- 3? Why or why not? Is the function given by f(x) = ! 3*+5, for x 3,

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Q: Find the absolute minimum and absolute maximum values of f on the interval below. f(x) = 2x4 - 4x² +…

A: We need to check value of f(x) on critical points and boundary values to absolute minimum and…

Q: |(2) = { = 1 points are the functions continuous? 3x-5 , ifx 1 .ifx 1 1. 2 2. h(x)

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Q: 3. State where the function below is continuous using interval notation. if x<2 4 f(x) = 3 if x 2

A: To check whether the given function is continuous using interval notation.…

Q: When can we say that a function is continuous at a number?

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: 81. A function y = f(x) is increasing on the interval (0,5). What conclusions can you draw about the…

A: If a function is an increasing function then this means when the value of the variable x increases…

Q: True or FalseA 1. A Step-function is continuous at every point in its domain

A: Given: A step - function is continuous at every point in its domain. To write: The given statement…

Q: Describe the intervals on which the function is continuous.

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Q: 5) State the intervals of concavity in the function g(x) = (x – 9) 2/3.

A: Answer and explanation is given below

Q: Find the absolute extrema of the function on the closed interval.

A: h(x)=2-x, -2,2h(x) represents greatest integer function.

Q: Part III: Use the graph of f(x) to sketch y = f(x) 5 4 하 2 6 -5 -4 -3 -2 123456 -3 4 -하 -6

A: Given: y=f(x) To draw: y=0.5f(x)

Q: Example 3: Find the root of: f(x) = x' - 3x+1 in the interval [0,1]?

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Q: Find the intervals on which the function is continuous. x+5 y = (x-4)(x-3) (х-4)(х-3)

A: y is continuous on (−∞,3)∪(3,4)∪(4,∞)

Q: Find all intervals where the function f(x) = x+ x- x is increasing.

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Q: F(X)=1/x^2-9  What is interval which function is continuous?

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Q: Find (f-1)'(a). f(x) = x - , x < 0, a = 1 х (F-1y(a) = ||

A: Given function

Q: Determine the value of the constant a for which the function f(x) is continuous at - 3. x2 +8x + 15…

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Q: 12. f (x) = x³ – 2x² + x – 1 ; (-4,5)

A: Function is called as an continuous if its right hand side and left hand side limit is equal.

Q: Use second derivative test, If f() 16% + 10 then f(*) has a local maximum at the point * =-5 * =-2 O…

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Q: 6. True or False The graph of the function f(x) = x? is increasing on the interval (0, ). (

A: f(x)=x2

Q: are correct? The function is decreasing on the interval x > 4.

A: According to graph for x&gt;2 slope = dydx increasesSo the function is increasing on the interval…

Q: ample 23: Show that the function f(x)=1-1-x is continuous on the interval [-1. 11.

A: A function y=f(x) is continuous in an interval [a,b] if it exists for every x∈[a,b] In other words a…

Q: 3. Over which interval is the function f (x) = 1 + 2ex -3x increasing?

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Q: Q5. Explain why f(x) is not continuous at a. x2 - 25 f(x) = x + 5 if x #-5 a = - 5 if x =-5

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Q: x 2 f(x) = -

A: Using continuity of polynomials function,

Q: 2) If possible, give an example of where a function is continuous at a point but not differentiable…

A: Continuity of a function is the characteristic of a function by virtue of which, the graphical form…

Q: Please explain how to solve. Thank you

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Q: Determine the value of the constant a for which the function f(x) is continuous at - 3. x2 + 8x + 15…

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Q: [6 – 2x, \x² - 8, xS 3 x > 3 f(x) Where are the intervals where the function is continuous? Are…

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Q: When can we say that a function is continuous at an interval?

A: Continuous function: A function f(x) is continuous over an interval [a,b] if the function has no…

Q: 5. Use calculus to find the interval(s) on which the function f(x) = x-e increases.

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Q: Is the function continuous or not? If not, what condition is not satisfied? Present solution

A: A function fx is said to be continuous at a point at x=c if 1. fc is defined and exists 2.…

Q: x'-125 3- If f(x) : x-5 is the function continuous at x=5

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Q: (x + 1, x 0 Can also be displayed as: x + 1 when x 0 f(x) = Is f(x) continuous at x = 0? Why or why…

A: We have to find the solution of continuity

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

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Q: Find the absolute extrema of the function on the closed interval.                   f(x) = 4x / (x2…

A: f(x)= 4xx2+9so,  f1(x)= 4(x2+9) - 4x(2x)(x2+9)2Now equ    f1(x)=0=                4(x2+9) -4 x(2x) =…

Q: x² - 2x-8 if x+ 4 (4) F(x) =, x-4 if f is continuous at x=4, а, if x = 4 then a =.

A: Topic:- limit and continuity