A function f is such that f(x) = 3x² – 1 for %3D | a Find the range of f. b Write down a suitable domain for f for

Q: Find the absolute extrema if they exist, as well as all values of x where they occur.

A: To find the absolute extrema

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A: For the solution of the problem follow the next step.

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Q: Consider the function g(x) = (x^4) + (6x^2) +17. Locate and classify all relative minima and maxima.…

A: Given that g(x)  = x4 + 6x2 +17 find local minima and maxima. Here i attached solution of this…

Q: Given the function f(x) = %3| Vx2 –1

A: Given: fx=xx2-1

Q: 3. Find the intervals in which the function is concave up /concave down for the function f(x) = x* –…

A: Given : f(x) = x4 - 4x3

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A: We need to find the intervals in which the given function is increasing and decreasing.

Q: Determine the absolute extrema of the function f(x) (x- 4)e on the interval-1 <x<4. SHOW YOUR WORK!

A: We have given f(x) = (x – 4)ex on the interval -1 ≤ x ≤ 4.

Q: 17 The range of the function f(x) = |x + 2| is (0, 00) A (0, 00) (2, 0) [2, 0) D

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Q: The range of the function f (x) = 2+ V9 – x² is [2, 5] O [0,3] О -3, 3] O [-1,2] O [-3,0]

A: Explanation of the answer is as follows

Q: Given f(x) = - x² – 3x + 2, a) Use the second derivative test to classify the local extrema of f(x).…

A: We use second derivative test in part a to find local maximum and minimum  for absolute maximum and…

Q: 2 For the function f(x) = -x', find f'"(x), f'"(0), f'"(1), and f"(- 1).

A: To find the double derivative for the given function.

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

A: Given  f(x) = csc x , x∈[0,2π) csc x  is negative in 3rd and 4th quadrant

Q: 3) Find the intervals where the function is increasing and where it is decreasing. f(x) = x² - 6x²…

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Q: 8. Find where f(x) is increasing, decreasing, and local extrema.

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Q: Find the absolute extreme values of the function on the interval. Show all work. g(x)=10-6x^2, -2…

A: Consider the given function: gx=10-6x2 ; -2≤x≤4 Here, the objective is to find the minimum and…

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Q: find the value of a and b so the the function has a local extreme value of 1 at x=3 f(x)=ax+b/x^2-1

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Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Given function is fx=23x3-x2-4x+2. To find the critical number and the open intervals where function…

Q: f(x)%= V36-x² .2

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Q: What is the range of the attached function?? Is it f(x)&lt;=3/4 or f(x)&gt;=3/4

A: Given the funciton f(x)

Q: Q3) Specify the intervals over which the function is increasing and the intervals where it is…

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Q: Determine the interval(s) where the given function is concave up and where it is concave down. You…

A: Let us consider a function f(x) . The concavity of the function is obtained as, If f''(x)&gt;0 then…

Q: of y = f (x). %3D 7 (a) On what interval or intervals is f (x) increasing? (b) On what interval or…

A: Since you have posted multiple question with subparts , as per our guidelines we will answer the…

Q: find the absolute extrema of the function g(x)= 2x+5/3 on the closed interval [0,5]

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Q: 12) Find a function f(x)with the f ollowing properties: 4 3 f'(x) = 2e2* –+ and f (1) = -2 %D

A: Given that: f'(x)=2e2x-4x+3x2 and f(1)=-2

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Q: State the interval(s) over which the function is (a) increasing (b) decreasing (c) constant (d)…

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Q: 2 a) For the function f(x) = find f' X- 3'

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Q: Evaluate the slope of the function: (Please solve using limits) a. f(x) =x^2 + x - 2…

A: a)   f(x)=x2+x-2  at  x=-1.5Here f(x)=x2+x-2Thenf(x+h)=(x+h)2+(x+h)-2We know that slope of function…

Q: 1. Consider the function z = f(x,y) = x2 –- 2x + 3y? + 6y. i. State its domain. ii. Find the range…

A: Given, z=f(x,y)=x2-2x+3y2+6y

Q: Need to find local and absolute maxima and minima for the equation: f(x)=(x-2)/(x^2-1) on the…

A: Local maxima is a point f(a) on function f, a with in the domian of f, such that f(a) ≥ f(x) for all…

Q: 25 Given the function f(x) = x°+ x° + x*, find all x-values where f has an inflection point.

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Q: Consider the function f(x)=7-5x2 on the interval [-2,5]. Find the average or mean slope of the…

A: Function f(x) = 7 - 5x2 on the interval [-2,5]. To find the average or mean slope of the function on…

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: 4. Find the intervals in which the function is concave up /concave down for the function f(x) = x* –…

A: Disclaimer: Since you have asked multiple questions we will solve the first question for you. If you…

Q: Find the average of the function over the given interval. F(x) = x over [-2, 2] Plot the function…

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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: 1 The functionf is defined by f(x)= 2–Vx+ 5 for-5<x< 0. (i) Write down the range of f.

A: The objective of the question is find the range of the function f(x). And  solve the composition of…

Q: does y=e9-x2-2 exist? whaet is the domain and range of the function if exists

A: Given function is  y=e9-x2-2 which is of the form of exponential function and it exist.

Q: (x² – 3x + 1, x 4

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.