Suppose the function f has a domain set of all real numbers. Given below is the graph of f(x). f'(x) ... %24 -6 -5 -3 1 At which value(s) of x does the function f attain a relative maximum? -5,3 -3 -1 1

Q: Find the intervals in which the function f(x)=3x -18x² +7 is increasing/decreasing. Also find the…

A: For function f(x) you can find the intervals in which f(x) increases by solving f'(x) > 0. For…

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A: It is given that fx=x2x≤1xx>1. Recall the fact that formula for derivative of a function f at a…

Q: 3) Without a graph, how can one show differentiability of a function at a point? 4) Where is the…

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Q: Find the open intervals on which the function is increasing or decreasing          g(x) = (x + 1)3

A: We first find g'(x)

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Q: Find the open intervals on which the function is increasing or decreasing.

A: A function f(x) is increasing if for each x1<x2 we have fx1<fx2. Similarly a function f(x) is…

Q: identify the absolute maximum and minimum values of the function on the given interval (when they…

A: Firstly, we find derivative of given function

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Q: Find the absolute maximum coordinate and absolute minimum coordinate of the function below on the…

A: Given information:The given piecewise function is show below:

Q: Find the intervals in which the function f(x)=x' -9x² +24x+15 is increasing/decreasing. Also find…

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Q: Given the graph below, what can you say about the function at x = -2? -10 Not Continuous Continuous

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Q: Find the absolute minimum and absolute maximum values of f on the interval below. f(x) = 2x4 - 4x² +…

A: We need to check value of f(x) on critical points and boundary values to absolute minimum and…

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A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: Find the absolute maximum and absolute minimum values of f on the given interval. g(x) = x +-,4]

A: here we need to find absolute maximum and absolute minimum values of given function . the solution…

Q: Determine any critical point(s) for the function f(x)=-3x2-9

A: For Critical Points We will Put F'(x)=0

Q: 4. Using at 7 points, graph the function f(x)=2x

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Q: The graph of f(x) = is (increasing/decreasing) over its domain. 3 ()

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Q: Find the absolute maximum and minimum values of the function over the indicated interval. f(x) = 4x²…

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Q: Sketch the graph of the function f. Sx - 3 f(x) 1-2x + 3 if x s 2 if x > 2

A: Given that: f(x)=x-3,      if  x≤2-2x+3,  if x>2

Q: Find the absolute maximum and minimum (if any) of the function, f(x)=3x'-5x' on interval -2,0|

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Q: Consider the graph of f' (x). At what value (or values) of x do f (x) have a local maximum?

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Q: Determine from the graph whether the function has any absolute extreme values on the interval [a,…

A: To determine if the function has absolute value on the interval.

Q: Does the function g(x)=2-x  approach a certain real number as the value of x increasing positively?…

A: Given - g(x) = 2-x To find - Does the function g(x) approach a certain real number as the value of x…

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Q: By inspecting the graph of the function, find the absolute maximum and absolute minimum on the given…

A: From the given problem:   hx=x2-1x∈-4,5   Now differentiate the given function with respect to x and…

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 12 + 4x –…

A: Since you have posted multiple questions, we will answer the first question. If you want the…

Q: Find the absolute minimum and absolute maximum values of f on the given interval. F(x) = x - In(7x),…

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Q: Determine the absolute maximum points given the function at the close interval [a, b] g(x) = (x+2)3…

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Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

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Q: | Consider the function f(x) = xe-6x, 0sxs 2. хе This function has an absolute minimum value equal…

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A: Given function is                                                                         f(x)=x2…

Q: Find the absolute maximum value of f(x)= +1 on the interval [0,27]. +1

A: Given function…

Q: Consider the function f(x) = -x/(9x^2 + 1) where 0 ≤ x ≤ 2 What is the absolute maximum ? At what x…

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Q: Find the point on the graph of the function f(x) = (x + 5)2 that is closest to the point (1,3). %3D

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x3 - 6x2 +…

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Q: 5) f(x) = ²-4 x-2 4 if x # 2 if x = 2 Is f(x) continuous at x=2? Sketch the graph of the function.

A: (5) Solution:- Function can be written as :- Continuity of x2-4x-2:x<2  or   x>2, &  4  :…

Q: Find the absolute extrema of the function on the closed interval. F(x) = x³ -?, (-1, 4] 2

A: Given,            fx=x3-32x2 , -1,4To find : Find the absolute extrema of the function on the closed…

Q: Each graph represents F'cx) n (not the original function -) x-coord inates of maximums -)…

A: solution is given below..

Q: 5) The graph of the function f(x) = 4-x has an inflection point at

A: Given: fx=x4-x We know that for any function, inflection point are points where second derivative of…

Q: 4. Using at 7 points, graph the function f(x)=2x 10-

A: First we find out the values of y at the different point of x and then make the graph.

Q: for what value of x does the function f(x) =1/3x3-4x attain the absolute minimum in the interval…

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Q: . Find the length of the graph of the function f (x) =x* + x2 -<x < 3. on the ir

A: The length of the graph of y=f(x) from x=a to x=b is given by:∫ab1+f'(x)2dx f'(x):…

Q: Find the absolute extrema of the function on the closed interval.                      g(x) = 3√x,…

A: g(x) is continuous on the given interval.  So, the absolute extreme exist and must occur either at a…

Q: If f(x)=- +60, then what is the set of x values for which f has a relative maximum?

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Q: The graph of function f(x) = x – 9x² + 7x is concave upwards on (-0, c0) O (-∞, 3) O (3, 0) O None

A: Given function is  f(x)= x^3 - 9x^2 + 7x

Q: Find the absolute maximum and the absolute minimum values of f on the given interval.

A: Calculate the derivative and equate it to zero to get the critical points,

Q: Find the open intervals on which the function is increasing or decreasing.       y = x√(16 − x2)

A: The given function is , y=x16-x2

Q: If f (x) is the function whose graph is shown, on which interval is fincreasing? Use cursor to…

A: f(x) is the function whose graph is shown, on which interval is f increasing?