| Given f(x) = 2. a. Find f- (x) . Show work. 4. 2x+1 X-1 b. Find the domain and range of f and f-1.

Q: 4. Consider the function f(x) = |x + 1|whose graph is shown below. 4. a. Is the function…

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Q: 7. For the function f (x)=(x-2)° +1, a. Sketch the graph of over the interval [0,3].

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Q: Find the value of k that makes the function continuous. Justify your answer. 2x – 1, x 2

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Q: Q1.Given: x? – 4 | when x 3 1.Find what values of ( a) and (b) that will make the function…

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

Q: Q2\\ Find the value of (a) that make the function below continuous at x 2: (a*x-2a x22 fx) = 12 x<2

A: Definition used-                     Continuity of function -                     A…

Q: For æ = 4 the function f(x) = x? + bx +c has the minimum value of -9. Fine

A: The given function is f(x)=x2+bx+c has a minimum value = -9 at x = 4.

Q: On what interval(s) is the function g(x) = −x¹ − 2x² increasing and concave down? To advance in the…

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Q: 3. When is the function increasing and when is it decreasing? f(z) = re==z3)? xe 2 f(x)=xe 4X2)

A: Solution:

Q: Find the absolute extrema of the function f(x)= (x^3)-(9/2)(x^2)-30x+3 on the interval [0,6]

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

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Q: 4. Find the absolute extrema for the function f(x)= on the interval -5 ≤x≤0.

A: To find the absolute extrema of the given function in the interval [-5,0].

Q: Determine the concavity and the x values where the points of inflection occur for :  y = x + 1/x -…

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Q: Determine the absolute extrema of the function f(x) = (x-3)e* on the interval -2 ≤x≤1.

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Q: For what value of x does the function g(x) = (x? – 4)2 attain the absolute maximum in the…

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

A: i have  used that nevesaary condition for inflection point is f"(x)=0 and sufficient condition is…

Q: At which r-values is the following function g differentiable? Explain and compute, where necessary.…

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Q: 1 For what value of x does the function g(x) 2x concave downward? А. x 2 -1 В. x2 0 С. x -2 x 2 D.

A: Given:    gx=13x3-2x2 The first derivative of function g'x=ddxx33-2x2…

Q: 10. What value of k makes the function {2x - (4(x + k) if x > 2 if x <2 f(x) continuous at x = 2? А.…

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Q: Find the absolute extrema of the function on the closed interval.

A: Solution Given Find the derivative of the functionf'(x)=xx2+1To find the criticle Number derivative…

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

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Q: d) For the function {: 1- a², x2, 0 1 i) Sketch the graph of f(x) ii) For what values of r, the…

A: follow next step

Q: Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].(a) Over what interval is…

A: Given: Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].

Q: A producer of pedal-powered ice cream makers has determined that the revenue from the production and…

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Q: (2) For the function f(x) = -x² – 24x +19

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

A: Given  Graph of f(x)=secx and the interval [−2π,0) To do Find the value of x at which f(x)=1. Choose…

Q: 3. For the function f(x) = (x – 3)(x + 2) find the interval(s) on which it is positive and intervals…

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Q: Q1: Find the value of the constant K if the function 4-x ;x#2 f (x) ={3-Vx² +5 is continuous at x=2.…

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Q: True or False The graph of the function f(x) = x2 is increasing on the interval [0, ∞ ].

A: The statement: The graph of the function f(x) = x2 is increasing on the interval [0, ∞ ].

Q: 5. How do the average rates of change for f(x) = – 0.5x and g(x) = - 1.5x² over the interval -5 < x…

A: Given functions are f(x)=-0.5x2 and g(x)=-1.5x2 over the interval [-5,-2] We know that average rate…

Q: X+1 5) Is the function given by f(x) x2 - 8x + 15 continuous at x = 3? Why or why not?

A: f(x)=x+1x2-8x+15

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: Given that f(x) = h(x) x5 f'(-1). Show your work. -, h(-1) = 4, and h' (-1) = 7 find

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Q: Sx? -1, x <3 f(x) = Continuous at x-3 ? (2ax , x 23

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Q: Find the critical point of the function f(x, y) —7- 5х — бх?+ 5у — 4у? This critical point is a:…

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Q: Explain the steps you would use to determine the absolute extrema of f(x) = x – e²× on the interval…

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

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Q: 1 Is the function given by f(x) = ) 5x+1, for x s5, continuous at x= 5? Why or why not? %3D 5x- 19,…

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

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

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Q: (1) For the function f(x)=1-- (x+2) (ii) f(x+k) find the following: () f(-x)

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

Q: On what interval(s) is the function -9x3 g(x) = e both decreasing and concave down?

A: The interval in which the given function g(x) is both increasing and concave down must satisfy the…

Q: The absolute max for the function f(x)=r² – 2x +1 on the interval [-2, 3] occurs at : Select one: O…

A: See image below

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: Find the inflection point(s) of the function  f(x) = 5e−(x^(2))

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Q: On the graph of f(x) = = 1? Choose all answers that apply. = cscx and the interval [-2n, 0), for…

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Q: he function f(x) = 5

A: Here we have to find the interval at which function f(x)=5x-ex is increasing.

Q: 3. Find the value of the constant k that makes the function continuous f(x) = {x² – 6, x + 4k, x 6

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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…