2. How will the function f (x) = - (x + 4)" 3. - 8 be transformed from its parent function? wwww

Q: What happens to the function f (x) = (x – 1)² + 1 when it becomes f'(x) = 2((x – 1)² + 1)? It is…

A: Given query is to find the transformation performed.

Q: On which the interval the function is increasing?

A: Given,          The graph of the function is shown below :

Q: x²-1 If f(x) = for x +1 and f(x)=2 when x 1, show that the function x-1 is continous at x=1?

A: Show that f is continuous at x=1

Q: 3)Verify Rolle's Theorem for the function f(x) = 2x2 + 4 defined over the interval [-6, 6]. Justify…

A: Rolle's theorem is satisfied if : f(x) is continous at given interval. f(x) is differentiable at…

Q: Identify the open intervals on which the function is decreasing. (Enter your answers using interval…

A: Let f(x)=y. Differentiate the function with respect to x, to find f'(x).…

Q: Suppose that a room containing 1500 cubic feet of air is originally free of carbon monoxide.…

A:

Q: 29. Every straight line normal to the graph of g passes through the point (0, 1). Can you guess what…

A:

Q: 10- Continuity of the function f(x){*-5 -1<x<2 x² -1 2< x< 3 at x=2?

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

Q: 4x -5x-6 for x +2 Given f(x) 2-V2x 4 for x = 2 Is the function f continuous at x = 2 ? Give…

A: A function f(x) is continuous at x = a if limx→a+f(x)=limx→a-f(x)=limx→af(x).

Q: Find f'(x). f(x) = x5 – 2x3 + x – 1 %3D f'(x) = Compare the graphs of f and f' and use them to…

A: Given: f(x)=x5-2x3+x-1 To find: f'(x)

Q: 2. What is the lilm f(x)?

A: From the given graph in extreme left side we can clearly see that. If x tends to minus infinity then…

Q: Find the net change in the value of the function between the given inputs. f(x) = 8 − 3x;    from 4…

A:

Q: Find the x-value(s) where the function f(x)- xS2 is not differentiable x-1 x>2 Give a reason for…

A: Consider the given function fx=xx2-1,    x≤2x-1,        x&gt;2. Sketch the graph of the given…

Q: A long distance company charges a monthly fee of $4.95 and $0.02 per minute. Let f(x) be the monthly…

A: Solution:

Q: 81. A function y = f(x) is increasing on the interval (0,5). What conclusions can you draw about the…

A: If a function is an increasing function then this means when the value of the variable x increases…

Q: 2) Let f be a function given by (3x +2 if f(x) = { 3 (x² + 1_ if Find f(0), f(-2), ƒ(-1), ƒ(1) and…

A:

Q: 2. The owner of the rectangular lot wants to put a fence around the area using 120- meter barb wire.…

A:

Q: (9) F(<) = { —1, if - п <x<0 1, if 0sxп (h) f(x) — f -х, х, -1<x<0 0<x<1 if if

A:

Q: 10 1. If :| f(x) dx = –7 and = 1 then determine 1- f(x) dæ || -3 -3 showing working.

A:

Q: The average rate of change of a function  f(x) = x2  between  x = 4  and  x = 9  is average rate…

A:

Q: Estimate L4 and R4 over [0, 3] for the function f(x) = 2x2. (Use decimal notation. Give your answers…

A:

Q: /hich of the following best describes the end behavior of a function with an odd degree and negative…

A: We have, Odd degree with negative leading coefficient.

Q: Find f'(x). F(x) = x5 – 4x3 + x - 1 f'(x) = Compare the graphs of f and f' and use them to explain…

A: Given, f(x)=x5-4x3+x-1

Q: 3) If a function is continuaus at x=a, then it is differentiaoe at x-a, yes? or NO? why ?

A:

Q: 5) Suppose that f is the function implicitly defined by the equation + tan ( In = evi near the point…

A: Given:       x+y4+ Tanin xy = ey   →1    near the point ( 4, 4 ) eTo Determine: f is an increasing…

Q: 6. True or False The graph of the function f(x) = x? is increasing on the interval (0, ). (

A: f(x)=x2

Q: 9) Differentiate the following function. Simplify your answer as much as possible. Show all steps y…

A:

Q: 6. Find the length of the curve given by the graph of the function f(x) = x/x, for x in [1,4].…

A:

Q: are correct? The function is decreasing on the interval x > 4.

A: According to graph for x&gt;2 slope = dydx increasesSo the function is increasing on the interval…

Q: Calculate the approximation M4 for the given function and interval. f(x) = 5-*, [1,3] (Use decimal…

A: Given that f(x) = 5-x, [1, 3]

Q: Differentiate the function. h(x) = In(x + V - 12

A:

Q: Find the relative extrema of the functions f(x)=-4x2-32x-62 Identify any maximim or minimum by using…

A: To find relative extremas first we need to find critical points. These are the points where first…

Q: 7. Give two reasons why a function might not be differentiable at a particular value of x.

A: topic -derivative

Q: 3. Give an example of a function with discontinuities at x =1 and x = 5.

A: To Find : A function that has discontinuities at x=1 and x=5.

Q: Estimate L4 and R4 over [0, 3] for the function f(x) = 4x². (Use decimal notation. Give your answers…

A:

Q: Find the average rate of change of the function f(x) 2x2 2x- 2, on the interval x E [2,4]. Average…

A: The average rate of change between two input values is the total change of the function values…

Q: 4, A vehicle was traveling along a straight way. The velocity as a function of time is modeled by…

A: Note: We are authorized to answer one question at a time, since you have not mentioned which…

Q: 24. Is the function continuous on the interval (-5, 5] ? 3х-1 f(x) = x-4

A:

Q: How do I find th end behavior of f(x)=-(x+1)^(2)+4

A: f(x) = -(x+1)2+4 =-x2-2x-1+4=-x2-2x+3

Q: Consider function y = 4x divided by x2 + 3 Determine all relative and absolute maxima and minima…

A:

Q: Use the graph of the function to estimate the interval on which the function is decreasing. y Enter…

A: Given : To find : Interval on which the function is decreasing. If the value of function fx…

Q: Suppose that the function f(x) is concave down on the interval (2,5). Can conclude that the function…

A:

Q: Is the function continuous from X = -5 to x = 0? This function is made up of four (4) linear…

A: 1. True, the function is continous from x=-5 to x=0 as there is no break in the       graph between…

Q: In calculus was claimed  that increasing (or decreasing ) functions  defined on a single interval is…

A: Consider a one - to - one function in an fixed interval.  For the function f(x), in the interval 0…

Q: 1-What are Univalent Functions .

A: We define a function on complex numbers.

Q: х — 1 - 2. For f(X) calculate f-'(8) = ? %3D х — 3 -

A: Given : f(x) = (x - 1)/(x - 3), we want to find the function f-1 that takes the value y as an input…

Q: List the critical numbers of the function in increasing order f(x) = x^/*(9x – 36)² %3D critical…

A:

Q: The crime rate of a certain city is decreasing by exactly 3%each year. Let t=0 correspond to the…

A: The function that represents the continuous decrease in number of crimes is given by:

Q: Show that the function f(x) = |x-3| is not differentiable at x = 3.

A:

Q: Find the derrivative of a function f(x) = 2

A: