Find function f(x) and g(x)
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Q: x3- 3 if x 2. B-10. Is the function defined by f (x) { continuous at x 2? Differentiable I at x =…
A: Given piecewise function is: fx=x3-3if x≤2x2+1if x>2 To determine whether function is continuous…
Q: (3-x, xs1 Consider the function given by f (x) = Is the function continuous, %3D x -x+1, x>1…
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Q: 2. Find the absolute maximum and absolute minimum values of function on the given interval. f (x) =…
A: Consider the given equation. fx=x3-6x2+5 and -3,5 Find the derivative. f'x=3x2-12x Put the…
Q: x1 -1 if For what value(s) of x is the function f(x) = x+1 %3D (x² +x+1 NOT continuous?
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Q: 13. Find the minimum and maximum value of the function on the given interval. y = 2x 2 + 4x + 5 [-2,…
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Q: 3, x21 Graph the piecewise linear function f(x) = -1-x, x<1 OB. OD. OA.
A: Note: We know that piecewise function is a function defined by multiple sub-functions, where each…
Q: 3 - x xs 2) Q4// Let f(x) = } +1 ,x> 25 x I) Graph the Function II) Is f continuous at x-2 ? why?
A: Given, f(x)=3-x, x≤2x2+1 , x>2
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: h(x) = 4/((x-1)^2) Show from the definition that the function h(x) = 4/((x-1)^2) is increasing in…
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Q: 1) Find a function y whose graph passes through the point (1, and satisfies x?y' = y.
A: We have to solve
Q: 1) Find a function y whose graph passes through the point (1, ) and satisfies x?y' = y.
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Q: 1) Find a function y whose graph passes through the point (1, ) and satisfies x?y' = y.
A: We need to find the function which passes through the given points. NOTE - As per our policy we…
Q: Which statement is true about the graph of f(x) = |x| + 43 at the point (0, 43)? ) A. The graph has…
A: D option is the correct option. to make this question easier will look at the graph of this function…
Q: 8. Question: If you know the point (5, –1) lies on the function and that the point (2,7) lies on the…
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Q: Use the definition of derivative to find f"(x) and f"(x). f(x) - 3x + Sx + 1 "(x) - "(x) - Graph f,…
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Q: 8. (10 points) The value x = is a critical number of the function f(x) = x In(x), which has…
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Q: 3; the slope of the secant line through the points (2, 7) and (0, 1) on the graph of f (x)
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Q: 12) Find a function f(x)with the f ollowing properties: 4 3 f'(x) = 2e2x –- and f (1) = -2 + - - x2
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Q: 3. Find the location and values for any global extrema of the function. 1 f(z) x2 on the given…
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Q: 3 - x Q4// Let f(x) =} x x 2) , x > 25 +1 I) Graph the Function II) Is f continuous at x-2? why?
A: As per bartleby expert policy only one individual question is to be answered. Kindly repost the…
Q: (3) Find the absolute extrema of the function on the specified interval: f(x)=x² +3x² +1,[-1, 4)
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Q: A function y = f(x) is decreasing on the interval (0, 5). What conclusions can you draw about the…
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Q: A function y = f(x) is decreasing on the interval [0, 5]. What conclusions can you draw about the…
A: A function is increasing, if when x increases, the value of y also increases. Since the…
Q: 2:46 Find the value of the constants a and b that makes the function continuous. Define x-1 : x
A: Consider the given piecewise function and the condition for the function f(x) to be continuous.
Q: (1) Find the absolute extreme values for f(x) = (x + 1)² + 3 on the interval [-2, 2].
A: To find : the absolute extreme values for f(x)=(x+1)2+3 on the interval [-2, 2].
Q: |(2) = { = 1 points are the functions continuous? 3x-5 , ifx 1 .ifx 1 1. 2 2. h(x)
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Q: 7. Let f be a function that has first derivative f /(x) = +2 and second derivative f"(x) = 2-2++2.…
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Q: 7) Find the value of k that makes the function continuous. Is the function differentiable at x = 2…
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Q: 4. Let w(x) = |x – 4| – |x – 7|– x + 12, which can also be written as w(x) = abs(x – 4) – abs(x – 7)…
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Q: The oxygen supply, S, in the blood depends on the hematocrit, H, the percentage of red blood cells…
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Q: 5. Show that the function f(x)= 3x-9 is not differentiable at x=3. Find the formula for f'(x).
A: To Prove: Show that, given function is not differentiable at x = 3.…
Q: 6x + 7, on the Find all absolute and relative extreme values of the function f(x) interval [1, 4].…
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Q: 3. Find the absolute maximum and absolute minimum values of f on the given interval. a. f(x) = 12 +…
A: This question is related to maxima and minima of functions, We will solve it using differentiation.
Q: (5) The point p = 2 is a fixed point of the function g(x) = - +1. Show if it is attractive or…
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Q: 1. Find the absolute maximum and absolute minimum values of function on the given interval. f(x) =…
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Q: (5) The point p = 2 is a fixed point of the function g(x) = = + 1. Show if it is attractive or…
A: Given g(x)=2x+1 and has fixed point at p=2. (i.e) g(2)=2 We need to check that given fixed point is…
Q: (5) The point p =2 is a fixed point of the function g(x) = = +1. Show if it is attractive or…
A: please see the next step for solution
Q: a. Locate the critical points of ƒ.b. Use the First Derivative Test to locate the local maximum and…
A: the given function is: f(x)=-x3+9x the given interval is [-4,3] (a) we have to locate the critical…
Q: 1) f(x) = x* – 2x² + 1 on [0, 3]. Find the absolute maximum and absolute minimum values of the…
A: Absolute maximum and minimum values
Q: of these functions has a fixed point. What happens when you iterate them 3. Consider the real-valued…
A: Since we know that, fixed point is the intersection point of y=x and y=f(x), it means graph of line…
Q: 3. Find the absolute maximum and absolute minimum values of function on the given interval. f(x) = 5…
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Q: x²-1 for x +1 and f(x)=2 when x=1, show that the function X-1 If f(x) =- is continous at x-1?
A: A function f is continuous at a point x=a if limx→af(x)=f(a), that is, the limit of a function at a…
Q: 9) Find all absolute extrema in the function k(x) = (x² – 4) 2 on the interval [-3, 3]. 10) The…
A: According to the guidelines issued by the company We are supposed to answer only one question.…
Q: The derivative of the twice-differentiable function f is shown below on the domain (-9,9). The graph…
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Q: -8 x > 2 c. Let f(x) = is the f(x) is continuous at x=2. x-2 8, x< 2
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Q: 4. Find the absolute extreme values of f (x) = x²/3 (4 – x²) on the interval [-2, 2].
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Q: 3LALLETYM 14.7.022. Find the local maximum and minimum values and saddle point(s) of the function.…
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Q: 2. For which of the following functions and domains does the Extreme Value Theorem guarantee the…
A: The Extreme value theorem states that if a function is continuous on a closed interval [a,b], then…
Q: 2-(i) Suppose that we know that f(x) is continuous and differentiable on [6,15). Lets also suppose…
A: Note: According to Bartleby guidelines for more than one question asked, only the first one is to be…
Q: A function, f (x), has derivatives: f'(x) = x² (x – 3) f"(x) = 3x(x – 2) Which of the following…
A: Given data is : A function, fx, has derivativef'x=x2x-3f''x=3xx-2