y= h(x) -1 The function h (x) is graphed above. It has domain (-3,3). Matching problem Values of x = c are found on the left. Match each to its correct description. C--3 V ( Choose ] y=h(c) is a local minimum y=h(c) is neither a local maximum nor a local minimum y=h(c) is a local maximum C= -2 c-0 [Choose c-1 [Choose) c-15 [Choose ] C-3 [ Choose] C- 25 [ Choose ]

Q: Find the relative maximum / minimum values of the function S(x)= *-2 x+2 State where the function is…

A: The given function is: f(x)=x-2x+2⇒f(x)=x+2-4x+2⇒f(x)=1-4x+2

Q: Find the minimum y-value on the graph of y f(x). f(x) = x² + 4x- 5 The minimum y-value is y = %3D

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Q: In x 4. Find the intervals of increase and decrease for the function f (x) = State the coordinate(s)…

A: This question is related to the functions, We will solve it using differentiation.

Q: The minimum value of the function occurs at x = f(x) = =(-3) n the interval -100 s xrs100 OCcurs at…

A: Introduction :

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Q: A laser rangefinder is locked on a comet approaching Earth. The distance g(x), in kilometers, of the…

A: Given that: A laser rangefinder is locked on a comet approaching Earth. The distance g(x), in…

Q: Find the absolute maximum and minimum values for the given function over the specified domain. f(x)…

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Q: F(x)= x-2 / x^3 F'(x)= 6-2x / x^4 F''(x)= 6x-24 / x^5  1. Find the local maximum and local…

A: To find local maximum and local minimum  and inflection points of given function.

Q: 4. Graph the function 2x+1 x1 Find any maximum points, minimum points, and discontinuities on the…

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Q: 7 The graph of the function g(x)= (x+m)² +n• the x-axis at the points (-2, 0) and (3, 0). Finc the…

A: Given,          The graph of the function gx=x+m2+n cuts the x-axis at the point          -2,0 and…

Q: The goal of this problem is to find the maximum area of a rectangle whose lower-left vertex is at…

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Q: Consider the function graphed at right. The function has a minimum o of at x = 2 The function is…

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Q: I ) Writex-9x+8 in the (ii) Hence write down the coordinates of the minimum point on the curve…

A: Here, the given equation is: f(x)=x2-9x+8

Q: 5. A rectangle is bounded by the x- and y-axes and the graph of y = -x + 6. *+6. a) Find the area of…

A: In the given figure, a rectangle is bounded by x-axis, y-axis and the graph of y = -(2/3)x + 6. We…

Q: The graph of y g'(x) is shown below. graph of g'(x) + (a) Give the x-coordinates of the critical…

A: We have to find critical point of the function and we have to check weather the function is local…

Q: 2. For this question, you do not need to provide a formula for your function. Draw a graph f(æ)…

A: We have to draw a graph of a function in interval [-4,4] has  1) An absolute maximum at x=4  2) An…

Q: The graph of y = f"(x) is given above. The domain of ƒ is [-3, 3]. a) For what value(s) of x, –3<x<…

A: Given:   The graph of y=f'(x)The domain of f is-3,3

Q: 1 The function f(x) = 5 + 5x + 45x- has one local minimum and one local maximum. This function has a…

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Q: g(x) = cos x(a) What is the y-intercept of the graph of g?(b) For what numbers x, - π ≤ x ≤ π, is…

A: The trigonometric functions are periodic in the sense that their values repeat after some intervals…

Q: Given the function f(x) = x^8 + 8/x on the interval [1, 5] What is the absolute minimum value? What…

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Q: 3. The graph of f(x) = 3(x – 2)² – 6 is a parabola that opens %3D with its vertex at (L, -), and…

A: The quadratic function f(x) = a(x - h)2 + k, a not equal to zero, is said to be in standard form. If…

Q: Given the function f(x)= x^4 - 4x^3, (a) find the domain of function f and x-intercepts,…

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Q: 2 -1 -1 -1 -2 -2 (b) Sketch the graph of a function on [-1, 2] that is discontinuous but has both an…

A: Given query is to find identify the correct graph

Q: 2. For a given function f(x) – (x – 2)² + 6 a) Axis of symmetry : x= b) The vertex (h,k) is: ( c)…

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Q: Find the relative maximum /minimum values of thefunction S(x) = -2 r+2 State where the function is…

A: Solution is given below:

Q: g(x) = cos x (a) What is the y-intercept of the graph of g? (b) For what numbers x, – < x< n, is the…

A: The question is multipart, hence the solutions of first 3 parts are explained. Given  -gx=cosx To…

Q: f(x) = -x2 + 26x − 6 (a) Find the vertex of the graph of the equation. (x, y) = (   ) (b) Determine…

A: f(x) = -x2 + 26x − 6 To find out the vertex we use formula x=-b2aa=-1  and b=26x=-262(-1)=13x=13 Now…

Q: 2. For a given function f(x) -(x – 2)2 + 6 a) Axis of symmetry : x= b) The vertex (h,k) is: c)…

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Q: Given the function g(a) = 6x- 27x 72x, find the first derivative, g'(x). %3D g'(x) = %3| Notice that…

A: As per bartleby guidelines we only give first three question answers.

Q: 3. Graph the function **2 f(x)={ x-2 1 x= 2 Find any maximum points, minimum points, and…

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

Q: Find the local minimum/maximum of y=x³-9x²+ 15x+4 A minimum at x=5, maximum at x=1 B minimum at x=1,…

A: Given that: y=x3-9x2+15x+4

Q: The function has a minimum of at x = The function is increasing on the interval (s): The function is…

A: the maximum value of f(x) has a relative maximum value at x = a, if f(a) is greater than any value.…

Q: Find the relative maximum / minimum values of the function x- 2 f(x) = x+2 State where the function…

A: Given that, the function is fx=x-2x+2. Differentiate the function fx=x-2x+2 with respect to x as…

Q: • The domain of h is [-3, 3]. h" (x) 0 on -3 < a < -1 or 1 < <3 • There is a local maximum point at…

A: Given:  The domain of h is -3, 3 h''x&lt;0 on -1&lt;x&lt;1 h''x&gt;0 on -3&lt;x&lt;-1 or 1&lt;x&lt;3…

Q: Given the function g(x) = 6x³ + 27x² 72x, find the first derivative, g'(x). g'(x) = 0 when x = -4,…

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Q: y' = (x - 3)2(x + 5). At what points, if any, does the graph of f have a local minimum or local…

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Q: The function f(x) = 2x³ Use a graph of the function to estimate these local extrema. 42x2 + 270x +4…

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Q: Consider the function h(x) = 14 + 4x³ – x*. a. Identify the critical points of the function. b.…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Consider the function graphed at right. The function has a minimum f of -1 V at 4. -4 The function…

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Q: 2. In a company if the revenue function is given by R(x) = 3(Z+ R)x – 0.2x² and cost function is…

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Q: Find the maximum and minimum values of the function f(x, y, z) = 3x - y - 3z subject to the…

A: The given function is;  f(x,y,z)=3x-y-3z Constraints x2+2z2=144 and x+y-z=3.

Q: f(x) = x² – 10x + 2

A: We will use the basic definition and easy calculations to get the solution.

Q: Consider the function graphed at right. The function has a minimum v of -4 at z = The function is…

A: Here graph is given

Q: A function intersects the x-axis at points a and b, where a < b. The slope of the function at a is…

A: We are given with a function which have two points on x axis a and b and it is given that slope is…

Q: Example: If y =+-6 x x --6x+8, find: (a) Critical points. (b) The intervals in which the function…

A: # we are entitled to solve three subparts, please resubmit the other questions that you wish to get…

Q: 2b. Find the absolute maximum and absolute minimum points, if any, for the graphs of the following…

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Q: c) A function with an absolute minimum at (4, -3) and a local maximum at (-2,6) 6- 4- 2- -4 d) A…

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Q: The graph of a function is given. y 3 X 3 (a) Find all the local maximum and minimum values of the…

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Q: A parabola has x-intercepts of -1, 4, Determine the equation of the parabola in f(x) = a(x-r)(x-s)…

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