Use the graph of f (x) = = below to find a number ő such that |f (z) – 0.5| < 0.2 whenever 0 < |x – 2| < 5. 11 0.7 У 0.5- 0.3- 2 Enter the exact answer. 8 = Number

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A: From the given graph we see that the vertex is at (3,-1)  So, up to x=3, the function was…

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Q: 7. Use the graph of f'(x) below to answer the following: B G f'(x) I Ad decresig F D H E a. On what…

A: Given

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Q: 2 47) Use the graph of f(x) shown to the right to solve: a) f(x)-0 b) f(x)<0 y-f(x)

A: a) Consider the given function to be y = f(x). Solve the equation f(x) = 0 using the given graph as…

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Q: 5. Draw the graph of the function: f (x) = -4Cos (x -) + 9 over 2. the interval 0 <x< 2n.

A: To graphf(x)=-4cos(x-π2)+9.

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A: Given: fx=x2-2xx-2 , x&lt;2kx-3  ,x≥2

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: 18) Match the graph with the correct function. (a) f(x) = -3 + In x (b) f(x) = 3 + In x (c) f(t) =…

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Q: (d) Find the absolute extreme values of f on the closed interval -2 < x < 3.

A: d) We have to find the critical numbers by solving f'(x)=0

Q: Let f(x) = x³e-3=. (a) On what exact interval(s) is ƒ increasing? decreasing? Make it clear which…

A: Consider the given function  fx=x3e-3x

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Q: Sketch the graph of the function g(x) = 3cos(2x) on the interval -2n s x s 2n.

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Q: The function x2 f(x) = 1 - x is decreasing on (0, 1). Select one: O True O False

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Q: 5. Consider the function (x2 + y²)e-¯-. Provide the number of maxima of f(x, y). In case there is no…

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Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing.

A: Given information: fx=-x33+x22+2x

Q: 2. Let f(x) = e" + for x E [0,3]. Determine the length of the graph of f. 4e

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Q: 3. Given f(x)=-x+4x+12, 0sx58: (a) Carefully, graph S(x), 0Sx s8.

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Q: 6. Sketch a graph of some function f(x) where the interval for f(x) > O is [2,5] and [8,).

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Q: B- Gives a formula for a function y = f(x). In each case, findf" (x) and identify the domain and…

A: Explanation of the answer is as follows

Q: - Find the zero and its order for the function f(2)=1-Ti+Z+e.

A: Note: If W is the Lambert function then Wxex=x

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) [0, 12] r 2 X…

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Q: 1. Let f(r) = 1– x². (a) Sketch a quick graph of f for -2 <r < 2.

A: The given function is The graph of the function is inverted parabola with vertex going in upward…

Q: 20. For the given graph of f(x), use interval notation to express the solution to f(x) > 0. -4 -3 -2…

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Q: A square root function is given below. h(x) = --3 - <-2 Which function opens in the same direction…

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Q: O Find the largest value of A such that the function f(x) = x + 1x? - 4x + 6 is decreasing for all x…

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Q: The domain of the function f(x)= tanh( x- 6) is Select one: O[6, *) O[-6.6] O(0, *) OR O None OR-(6)

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Q: 1 For what value of x does the function f(x) = -x 4x attain the absolute maximum in the interval…

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Q: 2. If f(x) = kx' +x² – kx+2, find k such that the graph of f contains the point (2, 12).

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Q: On the graph of f (x) = sec x and the interval [-2x, 0), for what value of x does f(x) = 1? Choose…

A: We need find value of x for which secx=1 in the interval -2π≤x&lt;0

Q: 70 The function f(x) = has a removable discontinuity at a = 0. To remove the 10+22 +2z…

A: -&gt;Given functionf(x)=7010+x2+x3-6xx3+2xNow we want to define f(x) at x = 0 in such a way that the…

Q: Draw the graph of the function f (x) = ⌊2x⌋ from R to R.

A: We have to draw the graph of the function f (x) = ⌊2x⌋ from R to R.

Q: Compare the function rule f (x) = 3x + 2 and the graph of g (x). 10 -10 10 Which statements are…

A: First let's draw graph of f(x) on same axis and then compare it with g(x) graph.

Q: Approximate the point of intersection of the graphs of f and g. Then solve the equation f(x)=g(x)…

A: This question is related to Functions, we will solve it using given information.

Q: E What is the effect on the graph of the function f(x) = 5x when f(x) is replaced with 9f(x)? A)…

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Q: 38. At what value of x should the function f(x) = In(x – 4) approach to so that f(x) will be as…

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Q: The critical points of the function f(æ) = 25a? –- 2a1 Occur at O * = 0, a = ±2.00 O * = 0, x =…

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Q: 6) Use the definition to find g'(2) where g(x) = x', then decide if g is increasing or decreasing at…

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Q: .. The graphs above are approximate graphs of f and f' for f(x) = a²(x – 15). So f is decreasing…

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Q: 10 4r The function f(x) has a removable discontinuity at x = 0. To remove the discontinuity, f(0)…

A: Removable discontinuity: A function f(x) has a removable discontinuity at x=c if f(c) is not…

Q: The domain of the function f(x) - cosh 19) + cosh™( 19 -–) is [A, 360) Then The value of k = The…

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Q: 1. Find the function f given that f'(x) = 2x and f(2) = 5. Is the function ƒ unique? Why?

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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: For a function g(x), g"(3)=-8 indicates that g(x) is at x=3. concave up decreasing increasing…

A: Please see the explanation below

Q: 5) Find all points of inflection in the function g(x) = (x – 7) 13 on the interval [0, 10].

A: The points of inflection are those points at which the second order derivative of the function is…