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

Q: 4. Consider the function f(x) = |x + 1|whose graph is shown below. 4. a. Is the function…

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Q: (9 pts.) Determine if the following function is continuous at x=-2. If not find the type of the…

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Q: Find the value of the constant (a , b, or c) that makes the function continuous.

A: If function is continuous  Then, it will be continuous on x=-1 and x=12 Therefore, limx→-1-1fx=f-1…

Q: For what value of the constant c is the function f continuous on (-∞, ∞)? ( cx2 + 2x x3 - cx if x <…

A: We know that for any value of c, for x &lt; 5, the function is continuous and for x &gt;= 5, the…

Q: 5.) Where is the function l(x) = + – 2x + 10 concave up? Concave down? |3D

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Q: Justify your answer whether the following functions are continuous or not at a certain point or…

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Q: (c) Find the local extrema of f(x), and indicate on which intervals f(x) is increasing of…

A: see below the answer

Q: 1 65. Is the function given by G(x) = continuous бх + 8 at x = 2? Why or why not? 2.

A: To check the function G(x) = 1x2-6x+8 continuous at x = 2. G(x) = 1x2-6x+8

Q: How to determine whether the function is continuous or not at a given point x = a ? x ≤ 1 (3x5 - 1…

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Q: Consider the following function f(x) = - 3x? + 5x – 2 where r E (-, +0) Find the following: (a) The…

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Q: 4. Use the linearization of the function f(x)%= at an appropriate x=a value to approximate 4.002

A: Given: The function f(x)=1x

Q: 2. Given the function -a Show that

A: Note :-  Since you have asked multiple question As per our policy, we will solve the first question…

Q: find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?

A: Given: find the x-values (if any) at which f is not continuous. Which of the discontinuities are…

Q: is the interval of decrease for the following function? f(z) =-|z – 2| +3

A: Topic = Functions

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: Find the value of a that makes the following function differentiablefor all x-values

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Q: Determine wether the function is continuous at a=4. x2-16 hキX ナ.? hニx ナ? fox メー4 6.

A: our objective is to check the continuity

Q: 3. Which interval of decrease is incorrect for the given function in each case? a) y = 5/x; (-0, +…

A: This question is based on application of derivative.

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

A: Given function - f(x) = x3+6x2To find the absolute extrema we need to find the critical points…

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: Determine whether the following function is continuous at the given point z- 3z+ 14z -5 f(2) 3z -1…

A: A function fx is continuous at x=a if limx→a-f(x) = limx→a+f(x) = f(a)  Given: fx=3x2+14x-53x-1…

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: 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: Q3: determine whether following function are continuous ore not 4 X# 2 f(x): x-2 4 X = 2

A: To determine whether the below function is continuous or not. fx=x2−4x−2,       x≠24,…

Q: 3. Armaan claims that the functions f(x) = 32x + 5 and g(x) = 32* + 8 have different instantaneous…

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

Q: Vhich of the following best describes the function below? S (x) = * -4 ifx<2 |Vx-2 if 2sx A.…

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Q: 5. Consider the function g(x)=1 a) For what values of x is g(x) continuous? b) For what values of x…

A: In the question we have to find where function is continuous and differentiable.

Q: (c) Consider the following graph of a function y = f(x): -2 -1 3 Test the continuity of f(x) at x =…

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Q: IV. Exercises Determine if the following functions are continuous at the given value of x. 4. f(x) =…

A: 4 Given function is fx=x−3. We have to check whether the function fx=x−3 is continuous at x=4. For…

Q: The table shows selected values of a continuous function, f (x), whose domain is 1 <xs 11. What is…

A: here given table  will draw a graph according to the given data  here f(x) = 50 is horizontal line…

Q: Q1: Find the value of the constant K if the function 4-x ;x#2 f (x) ={3-Vx² +5 is continuous at x=2.…

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Q: Determine the intervals on which intervals the function f(x) = x² – e² is concave up or concave…

A: Here, the function is  f(x)=x2-ex

Q: Find the x-value at which the function is not continuous. Are any of the discontinuites removeable?

A: Find the function is removable or non-removable discontinuity.

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

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Q: 7. Find the intervals of increasing/decreasing for the function f(x) = x'e*

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Q: Q3\ Determine if the given function is continuous or discontinuous at the indicated points 2_x x² +…

A: We have been given the function to us  2xx2+6x-7

Q: Find the value of the constant ( a, b, or c) that makes the function continuous.

A: Given: fx=1x,x&lt;-1, x&gt;12ax+b,-1≤x≤12 if given function is continuous then limx→-1-fx=limx→-1+fx…

Q: Sx? -1, x <3 f(x) = Continuous at x-3 ? (2ax , x 23

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Q: Determine the values of a and b that will make the function given below both continuous and…

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Q: SBx? - з (Bx + 2 if Suppose that f(x) = x > 2 if Find the value of ß so that f(x) is continuous…

A: For continuity, left hand limit=right hand limit=f(x)

Q: J 3(x)is even function

A: Bessel Function The property of Bessel function says that- (1) Jnx is an even function when n is…

Q: 2. Usc the Definition, f'x (x th)- fCx), to find ん the derivative for the function f(x) = - -9x+5 =…

A: According to the definition of derivative of a function fx,…

Q: 6. Determine the inflection points and intervals of concavity for the function y= e2*

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Q: Determine whether the following function is continuous at the given point z = 3x2 + 17z - 6 f(x) =…

A: A function f(x) is said continous at x = a  only when

Q: 3 b) Find values of x, if any, at which f is not continuous:f(x) =+2

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Q: 1 g(x) = 1 +3 x E [1,5]

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Q: Q4) Find the local and absolute extreme values of the function on the given interval. 1. f(x) - x' -…

A: As per our guidelines we are supposed to answer only one question at a time. So submit the other…

Q: Let f(z) 1+ | Interval of increase of f(x) is -

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