Find the values of x for which the function is continuous. (Enter your answer using interval notation.) S 4- x 2x – 5. if x 2 3 if x < 3 f(x) =

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Q: increasing and decreasing. 5) f(x) = -x² +4 fx) -4 위

A: Given :  f (x) = - x 2 + 4    To determine : The intervals on which f (x) is increasing or…

Q: For what value of the constant c is the function f continuous on (-00, 00) ? S cx? + 8x RX) = {-x x3…

A: The given function will be continuous when limx→3+fx=limx→3-fx.

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Q: Consider r² – 2x +1 if r 1. Determine if the following functions are continuous on the interval I.…

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Q: Find all values x= a where the function is discontinuous 1x2

A: Given Since g(x) is a branch function then the possible point where the function may be…

Q: Q1.Given: x? – 4 | when x 3 1.Find what values of ( a) and (b) that will make the function…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 2x Find the value/s of x, if any, at which f is not continuous if f(x): x+4 A 0 B -4 O and -4 O and…

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Q: Q2\\ Find the value of (a) that make the function below continuous at x 2: (a*x-2a x22 fx) = 12 x<2

A: Definition used-                     Continuity of function -                     A…

Q: Find the value of the constant c that makes the following function continuous on (-o, c0). x? - c if…

A: we have to find the value of constant c that makes the following function on (-∞,∞) f(x)=x2-c…

Q: For what value(s) of x is f(x) = 4?

A: The first thing we must do for this case is observed the y coordinates for a given value of x…

Q: If f(5) = 13, f 'is continuous, and f '(x) dx = 17, what is the value of f(7)? %3D f(7) =

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Q: 4 — х2 2 — х х2 — һx + 3 - k + h

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Q: Q2g If DF(x) = f(x+h)-f(x) for fixed h then find sh (ex-)) = ?

A: We have to find the △h(e2x-1).

Q: at what points of R ^2 is the following function continuous? p(x,y)=(19x^4y^3)/x^4+y^4

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Q: For what value of the constant c is the function f continuous on (-o, o)? { Cx2 2x if x < 5 - x3…

A: Observe that, f (x) has discontinuity at x = 5.If it is continuous at x = 5, then continuous on…

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

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Q: For what value of the constant c is the function f continuous on (-o0, 00) where S cx + 6 if x E…

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Q: x+k², ifx < 2 What value(s) of k will make f(x) = - continuous? %3D |kx + 10, if x 2 2

A: If the function is continuous then left limit is equal to right limit

Q: r(y) = Vy? – 6y ,2 бу

A: Consider the given function as ry=y2-6y5 Simplify as ry=y2-6y15

Q: For what value of the constant c is the function f continuous on (-0, 0) if x < 5 f(x) ={ cx? + 8x…

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Q: On what interval(s) is the function y = –2x² + 3x/3 both increasing and concave down?

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Q: For what value(s) of x is f(x) = 3?

A: given :  f ( x ) = 3  find value(s) of x = ?

Q: Q5/ Let F(x) = x>0 is c.d.f, find the value of P(-3<x< 4). e.w

A: It is an important part of statistics. It is widely used.

Q: Find the value of the constant c so the function f is continuous on ( – x, 0) where сх + 3 if x 4

A: The objective is to find the value of the constant C so that the function f is continuous on R.

Q: cx +5 f(x) = for x 2

A: Explanation of the answer is as follows

Q: For what value of the constant c is the function f continuous on (-00, 00)? cx2 + 2x if x < 5 f(x) D…

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Q: Given the following function: y = x^4 - 8x^3 + 22x^2 - 24x + 2 on [0, 4], find the absolute extrema…

A: To find the absolute extrema of a continuous function on a closed interval [a, b]: Find all…

Q: Determine the interval(s) for which f(x) = x4 – 54x² is concave down. Answer:

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Q: For what value of the constant c is the function f continuouson  (∞,-∞)?

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Q: For what value of x does the function g(x) = Ex + 2x? convex? -- x> 1- В. x< 2 C. x< 2 D. x 2 1 A.

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Q: Find the value of the constant c that makes the following function continuous on (-0o, co). (cb+8…

A: Consider the function: fb=cb+8     if  b∈-∞,3cb2-8  if  b∈3,∞ The given function is continuous on…

Q: 3. For f(x) = x? – 2, find the following: a. f(x+h)

A: 3. a. Given Data: Function: f(x)=x2-2 For f(x+h), Substitute x+h for x in the given function.…

Q: On which interval(s) is the function g(x) = xª – 8x² + 5 concave down?

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Q: For what value of x does the function g(x) =--x³ + 2x? strictly concave downward? А. x> 2 В. х>1 С.…

A: Use the property of strictly concave downward i.e.g"(x) &lt;0.

Q: d) Find the value of constant c, if the function f(x) is continuous on R. f(x) = {cx? + 2x 2x +4 if…

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Q: If f(1) = -0.6, f'(x) is continuous, and f'(x)dx = -12.2, what is the value of f(4)? %3D

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Q: Find the value of the constant c that makes the following function continuous on (-0, 00). са + 4…

A: We will solve the problem

Q: The period of the function f(æ) = { S9 for 0< x < 7 and x for f(x) = f(x + 14) is 7 < x < 14

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Q: If f(2) = 15, f' is continuous, and d f'(t) dt = 30, f(7)? what is the value of Answer:

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Q: -Find a, b to Continu e The function ãt X=3 if x >3 ? X = 3 ax+b flx) = 2a-b+1 6x-a+3 X 3

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Q: - (т + 1)с, (2х + 1)с — г? — 5, if x 1 f(x) =

A: Given the function f(x).

Q: If F(x)=∫e^(5t2) dt over interval [3x, 4x^2], what is F′(x)? (Do not include "F′(x)=" in your…

A: Given,  over the interval  .

Q: For what value of the constant c is the function f continuous on the interval (-o, 0). f(x) = { x² -…

A: we have to find c

Q: For what value of the constant c is the function ff continuous on the interval (−∞,∞).

A: c=5 Answer and explanation is given below

Q: For what value of the constant c is the function f continuous on ( – 0, ∞) where | cy + 2 if y 4 -

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Q: Va3 – 1 (o) f(x) = ;c= 1 x-1

A: The given function is not defined at x=c= 1 Because , as x approaches to x the function approaches…

Q: For what interval is g(x)= 1 concave down? x²+1

A: g(x)=1x2+1 The function g(x) is concave down when g''(x)&lt;0

Q: If f(1) = 14, f'is continuous, and f '(x) dx = 19, what is the value of f(5)? %3D f(5) =

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Q: For what value of the constant c is the function f continuous on ( -o, + o) where 8x - 5 I6 c = O 82…

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