Q4: Discuss the Continuity of following Also find at x = 1 range. and x = 0. Sxx+1 3x+5 -2 -2x+1 a-f(x) = by f(x). -2 < x < -1 -1 ≤ x < 0 0 < x < 2 0 < x < 2 2 < x < 6

Q: -(x+6)2 + 4 for x 2 VI

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Q: The function f is continuous on the interval -2 < x < 5 and is not continuous on the interval -2 ≤ x…

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Q: h(x) = (x – 3)² Determine for each r-value whether it is in the domain of h or not. In domain Not in…

A: Given,  hx = x-32  We have to find the  whether 0, 3 and 4 is in the domain of h or not.

Q: (-3 if z 2

A: Here is a step by step solution of the problem. We have proved discontinuity at x=2 by evaluation…

Q: Find st not the X values (if any) Where snon ultues отх 9-х F(x) ) x + 5 X²³-25 f 04 X at which f(x)

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Q: Given the following piecewise function, demonstrate how to determine if f(x) is continuous on the…

A: determine if f(x) is continuous on the interval (-6, 6).

Q: A brine solution of salt flows at a constant rate of 4 L/min into a large tank that initially held…

A: given,Brine solution of salt flows at a constant rate of the tank initially had  of pure…

Q: For what value of k will the function f be continuous on (-, ∞)? x2 - 81 if x + -9 f(x) = X + 9 k if…

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Q: Can you find where the function is increasing and then when it's decreasing? Can you also find the…

A: f(x)=1+x7​−x23​To solve this, we need to find the important values of x where the function's…

Q: |x| 3 +x* 2) Without making use of a graph show that the function f (x) is even.

A: Hera function is given and we have to prove that given function is even

Q: -a -1 for f (x) = { x + 2 x 3 Find f(-2)

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Q: I do not know how to do this question or even what it's asking for.

A: Consider the given function,

Q: On what intervals is the graph of f(x) = -x* + 4.x? – 2 is concave up and concave %3D

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Q: If 14 < f(x) < 18, then </ f(x)dr <

A: Given  To find

Q: f(x) = = 3x – 5 1 -2 for for for Find f(−1) x < 1 x = 1 1 < x < 5

A: Given function

Q: 13. The interval for function -(x+5)/2<(12+3x)/4 is (- 00,-22/5) (-22/5,00 ) (- 00,-22/5] 0(-22/5,00…

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Q: √x-5 f(x) = x² 8x 20 Find the intervals of continuity of this function f(x). - - NOTE: Use 'INF' for…

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Q: Suppose (x + 5 if x -5 f(x) = find f(-5)? O 1 O -3 O 3

A: we can find the value of f(-5) . Put x=-5 in the given function f(x) .

Q: G(x): x³+3x+2 x+2 [[_x_]] + 1 -12-X1 - x+3 + 1 x-r if x < -1 if -1 ≤ x 1 if xz1

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Q: a) For the following functions, f(x)=√√2-x h(t) = t+1 2t² + t-6 2x + 1 x > 3 p(x)= x²₁-1<x<3 -3,…

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Q: -4 if x1

A: The given function is: f(x)=-4        if  x&lt;-2(x+1)2-1    if  -2≤x≤1-14x+2if  x&gt;1

Q: What is the domain of if x0 Give the range of f(x) = x< 0 A. (-00, 00) B. (-4, 0) C. (-4, 00) D.…

A: As per guidelines we have to solve three suboarts Since ist two question answer is not in option  So…

Q: (B) Test the continuity of the following function: (3 Marks) (5x +3 f(x) = }2x2 +5 - 5x + 3 ;x< 2 ;…

A: F(x) is not continuous at x equals 2 and 4, and continuous at all other real numbers.

Q: Suppose that 3 <f"(x) < 5 for all values of x. Show that 18 < f(8) – f(2) < 30.

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Q: 5+x if x > 1 if – 2<x< 1 if x < -2 (A) ƒ(x) = {2 1– x2

A: According to the given function, fx=5+x, if x≥1 Thus, for x≥1, the graph of the function is a part…