The intervals of increasing and decreasing for the function f(x) = (r – 4)² + 8 is O increasing in [6, 0) and decreasing in (-00, 6| O increasing in (-∞, 4] and decreasing in [4, oo) O increasing in [4, 0) and decreasing in (-oo, 4| O increasing in [5, 00) and decreasing in (-00, 5] O increasing in [–4, 00) and decreasing in (-o, -4]

Q: 15. Find the end behavior for f(x) = lx - 2| +3 16. Find the end behavior for f(x) = -x' + 5x - 3 A.…

A:

Q: The function f(x) on [0, 3 has x2 + 1 absolute maximum is 0.3; absolute minimum is 0 absolute…

A: The given function f(x)=xx2+1 Differentiate the function with respect to x.…

Q: 3. Find the absolute maximum and absolute minimum values of f on the given interval. a. f(x) = 12 +…

A: This question is related to maxima and minima of functions, We will solve it using differentiation.

Q: 22. The function f(x) = Vx – 6 is transformed according to (x, y) → (7x – 7, - y+1). the transformed…

A: Substitute fx for y in the transformation and simplify. x,y=x,f(x)→7x-7,-f(x)+1=7x-7,-x-6+1

Q: B. Find the extreme values on the given closed interva 1. f(x) = 4x - 3; [1,5] 2. f(x) = x + 8;…

A: follow next step

Q: 3. Let f(x) = xi(9 – x²). Find the critical points of f on the interval (-4,2). SHOW WORK!!! а. b.…

A: Given,  fx = x139-x2  We have to solve for part (a) and (b).

Q: The function f (x) = 2x³ + 9x? and has critical numbers x = -4 and x = 1. To determine where f…

A: Option A is correct. We find Maxima and minima on critical points and given interval values.

Q: The function In x f (x) = x2 is Select one: increasing on the interval (-o, -) and decreasing on (5,…

A: fx=lnxx2 The domain of given function is 0, ∞. Differentiating with respect to x, we get…

Q: The equation of a quartic function with zeros -5, 1, and 3 with an order 2 is: * O f(x) = k(x - 3)(x…

A: We have to find the equation of quartic function with zeros -5, 1 and 3 with an order 2. Since,…

Q: 4. Find the absolute maximum and absolute minimum values of the function on the given closed…

A: We need to find critical points and check value of f(x) at boundary values and critical points to…

Q: -2 is a critical number of the function - Vir - f(x) = 2x x2. Select one: True False

A:

Q: Find all critical numbers in the function f(x)=7 + 3^1/3 - 2sinX on the interval 0 < x < 2π

A: Critical number

Q: Let  f(x)= 2x3-3x2-12x+1 on  the interval [-2,3]   a. Find the critical numbers of the function f…

A: Given functionf(x)=2x3-3x2-12x+1and interval -2,3

Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) x2 - 4x if…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: In(x) Find the maximum and minimum values of the function f(x) = on the interval [1,6] by comparing…

A:

Q: 15. Given , find f- (x) = Vx+ 7 and the domain of f-1 (x). Of-" (x) = x³ +7 with domain for f-l (x)…

A: In the question we have to find inverse of the given function and domain of the function.

Q: Determine the value(s) of x such that  [ x  2  1 ] [ 2   0  -2] [ x ]                 [ 0   3  3 ]…

A:

Q: Find the linearization at x = a. 1 f(x) = a = 5 (Express numbers in exact form. Use symbolic…

A: Given:Fx =1x3  ,a=5To find:Linearization at x=a of FxMethod:Lx ≈ fa+ Fι a x-a

Q: The absolute minimum value of  f(x) = (x3/3) - ( 5x2/2) - 6x  on [-1,3] is?

A: fx=x33-5x22-6x,   -1, 3 Differentiating with respect to x, we get f'x=133x2-522x-61=x2-5x-6 Now to…

Q: 1 f(x) = %3D (x – 1)(x – 2) 1) As x 1 , f(x) → 2) As x → 1*, f(x) → +, f(x) - 3) As x 2 , f(x) →

A: As question have more than 3 subparts we are providing solution for first three subpart, If you want…

Q: (a) If f(x) = 4x³ + 15x² – 72x + 5, then find 1) The critical numbers of the function f(x); 2) The…

A:

Q: Find all the critical points of f(x) = 2x3 + 3x2 - 12x. O -1, 0, and 2 O -2, 0, and 1 There are no…

A:

Q: find all critical numbers of the function f(x)= 4x^4-42x^3-360x^2+35

A: Given, f(x)=4x^4-42x^3-360x^2+35

Q: Find the critical number of the function F(x)= x^-8In(x) X=

A:

Q: 9. Find the local and absolute extreme values on k(x)=(x-2)° +3 on | the interval [0,5].

A:

Q: Find the local extrama of f(x)=x²-8x+12 on a closed interval [-2,5] O a. minimum value at x =4 is -4…

A: Topic- application of derivatives

Q: The function 7x 10 - - f(x) = %3D x - 3 has a single critical number at a = A. Find this critical…

A:

Q: 7 For the function f(x) = x – , find all values of c in the interval [4,6] that satisfy the %3D -…

A:

Q: The function f(x) = 3 x4-4 x3-12 x2 +1, is decreasing on the interval OA (-00,-2)U(0,2) OB…

A:

Q: x2 What are the critical numbers of f(x) : -? select all that apply. X- 1 A) x = 1 B) x= -1 c) x= 2…

A:

Q: 2 The function f(x)= (x² – 1) ³ , is decreasing on the interval (- 00,-2)U (0,2) AO (-1,0) U (1, ∞ )…

A:

Q: 1. Find absolute extreme values of the function on the given interval. Ax) = x - óx2 + 9x + 1, [2,…

A:

Q: nd all the critical points of the function f(x)= ={ x² 23 if x<1 if x ≥ 1

A:

Q: 7 Find all critical numbers of the function f(x) = x4 -x2 +6 2 A x = 1; x = -3; and x = 2 B The…

A: We have to solve

Q: Find all the intervals at which the given function is continuous. 1. f(x) = x - 3x - 10 2. g(x) =…

A: Disclaimer: Since you have posted multiple questions, we will answering the first the questions for…

Q: 3x -. Select all that apply. x² – 1 Determine all the critical numbers of f(x) =

A: We need to find the critical number of f(x)=3xx2-1

Q: Find all critical numbers of the function g(x) = x³ -x² - -Зх. (A) x = -1 and x = 3/2 B x = 1 and x…

A: Solution...

Q: Consider the function f(x) = 9x + 4x-1. For this function there are four important intervals: (- 00,…

A:

Q: Determine the area, in square units, bounded above by f(x) = -x^2 + 2x + 3 and g(x) = -x + 3 and…

A: Determine the area, in square units, bounded above by f(x) = -x^2 + 2x + 3 and g(x) = -x + 3 and…

Q: 1. The interval for function |2-3x|>5 is 0(-1,7/3) (-00,-1) u(7/3,00 ] (-00,-1) u(7/3,00 ) O[-1,7/3]

A:

Q: 2. Find the absolute max and min of the function f(x) = x° (x-4)² on the interval -1,5] using the…

A: The given function: f(x)=x45(x-4)2 The interval is [-1,5] To find the absolute maximum and minimum…

Q: 1. For the function f(x) = 2x3 - 3x2-36x restricted to the interval [-4,4], %3D (a) Find the…

A:

Q: The function f(x)=(a-x)2/3 has domain R and only one critical point x= a. Use a number line to find…

A:

Q: The function f(x) : (2х — 6)е has one critical number. Find it. - x =

A:

Q: Find any critical numbers of the function. G(x) = x^4 - 6x^2

A: Consider the function: Gx=x4-6x2

Q: Consider the function f(æ) = 7x + 8x-1. For this function there are four important intervals: (- 00,…

A:

Q: Consider the function f(x) = 12x + 45x4 – 200x³ + 5. For this - function there are four important…

A: The given function is: fx=12x5+45x4-200x3+5 To find the critical points of this function, first,…

Q: Find the absolute maximum and minimum of the function f(x)=x^3-9x^2+15x+42 on the interval 0 is less…

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.