You are given two functions, f and g if - 2 -2

Q: find the derivative of f(x) = x-3/3x+4 using the limit definition of the derivative. then state the…

A: Consider the given function as fx=x-33x+4. The limit definition of the derivative of a function fx…

Q: 2. By drawing a graph illustrate an example of a function f(x) such that it satisfies these three…

A: Topic = Functions

Q: What conclusion can be made if: a. A function changes from a decreasing interval to an increasing…

A: Given that: a. A function changes from a decreasing interval to an increasing interval.b.…

Q: Give an example of two functions f(x) and g(x), where lim f(x) = lim g(x) = 0, but lim f(x) 10, %3D…

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Q: If lim g(x) = 10 and lim h(x) = 28 then x5 x5 lim [2g(x)+ 5h(æ)] x5

A: Solution to the first question: Given,            limx→5g(x) = 10  and limx→5h(x) =28

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: If the function f (x) is continuous for all real numbers and if f (x) x²-4 when x + -2, then x+2 f…

A: f(-2) = -4

Q: If the limit of f(x) is 1 as x approaches 1 and the limit of g(x) is infinity as x approaches 1,…

A: we have to find the limit of the following

Q: Find lim,-1 f(x) -3 -2 -1 2 O lim,→-1 f(x) = 2 O lim,-1 f(x) = 1 O lim,-1f(x) = -1 Lx→-1 f(x) = –1 O…

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Q: Find a formula for f-(x) and (f-1)'(æ) if ƒ(x) = -V5 – x f-' (x) = (5-1)'(x) =

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Q: Discuss the continuity of the function on the closed interval.

A: Given: f(x)=x2-1x+1 The function is continuous at a point if the function returns a unique value…

Q: below F(x) = 1.) lim f(x) = X-3 x-3 x² +1 4x + 5 2x² - 1 if x 3 2.) lim f(x) = X-0

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 2x3 – 6x² –…

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Q: 2x +1 if x3 (А) -5 в) 6 23 D) -13

A: Here I am attaching image so that you understand each and every step.

Q: If lim f(x) = 15 and lim g(x) = 25 then x5 x5 lim 3f(x)g(x) –- 6] = x5

A: Given that limx→5 fx =15  and limx→5 gx=25 find limx→5 3fxgx-6=?

Q: f(x)= (x^2-2 where, x/=4). Calculate: lim x-4^- f(x)

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Q: ,for x 1 Discuss the contuniuty of f andf'.

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Q: 23) lim f(x) x→1- f(x) 5- 4+ 3+ 2+ -5 -4 -3 -2 -1 -1. 5 х 2 4 -2+ -3+ -4+

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Q: You are given two functions, f and g if - 20 2.

A: solution:-according to the given graph of f(x)limx→0+ f(x)=-1limx→0- f(x)=0

Q: Example 3: Find the root of: f(x) = x' - 3x+1 in the interval [0,1]?

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Q: The limit of the function lim x → − 2 ( 2 − | x |/ 2 + x )

A: Here we have to find the value of limit limx→-222-x2+x

Q: Show that the function given below is continuous at x = - 3. 2x2 + 4x – 6 x* - 3 f(x) = x+3 -8 x= -…

A: fx=2x2+4x-6x+3; x≠-3-8                 ; x=-3

Q: 12. If f(x) =x²-3x solve f(x)-f(2) lim x-2 x-2

A: Since the student posted multiple questions, I will give you the answer to the first question if you…

Q: (d) lim f(x) x-3 g(x) (e) lim [x²f(x)] x-2 (f) f(-1) + lim g(x) x--1

A: Observe the graph on given limits and see the value of function at the given limits and solve the…

Q: 2- -1- -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 3 -1 -2 -3 --4 -5 -6 -7- Provide your answer below: lim f(x)…

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Q: X-V2x+3 If f(x) = *-v2x+3 Solve to find lim f(x)? X-3 X3

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Q: Find a formula for a function that has vertical asymptotes x = 3 and x = 9 and horizontal asymptote…

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Q: If f and g are continuous functions with f(5) = 2 and, lim[2f(z) - g(x)] =5 I5 find g(5)

A: Given: - f and g are continuous functions with f(5)=2 and limx→52f(x)-g(x)=5 We have to find g(5)=?

Q: Suppose that the function y=f(x) is increasing on the interval (-1,5). Over what interval is the…

A: The x-5 is offsetting the input of x. The beginning of the function increase is at x-5=-1 and the…

Q: 1. Sketch the graph of a function with the given properties. lim f(x) = 2, lim f(x) = -, lim f(x) =…

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Q: f(x)= -5 - x^2 A) (f(8)-f(4)) / 8-4 B) (f(4+h) - f(4)) / h C) lim h---> 0 (f(4+h) - f(4))…

A: f(x)= -5 - x^2  Find A) (f(8)-f(4)) / 8-4 B) (f(4+h) - f(4)) / h C) lim h---&gt; 0 (f(4+h) - f(4)) /…

Q: 7- x2 if x 2 Iff (x) find lim f (x). I→-1+ |

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Q: Discuss the continuity of the function f(x) = {x^2 - 3x         if x &lt; 2           {2x + 4…

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Q: 10- In parts (A)-(C), find the indicated quantity for y = f(x) = 5- x. f( - 1)- f(- 2) (A) (-1)-(-2)…

A: Given the function simple put the value of (-1) and (-2)  find the value of y and put it on that…

Q: Find the interval on whih f(x) =x2-3x+8 increasing or decreasing

A: Given,        fx=x2-3x+8

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: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x3 - 9x² –…

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Q: Evaluate lim f(x+h)-f(x) h-0 where f(x) = 2 – 3x². h None of these -X 6x O -6x O 3x

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Q: x+4 if x2

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Q: 1. lim(2x + 4) x-3 2. lim f(x) if f(x) = {- ifx 1 %3! x² - 4x + 3 X-1

A: Here we will solve the given limits,

Q: Suppose f(x) is differentiable everywhere and f(-3) Show f(1) > -6 and f(-5) -2.

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Q: f(x+Ax)-f(x) Find lim 4x-0 if f(x) = 4x + 5. Дх

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the value for k so that the function will be continuous at x = -4. f(x) = 7x + 47 -x² + 18x81+k…

A: Topic = Functions

Q: 8. If f (x) = -x² + x, which expression represents f'(x) ? -(x+h)²+(x+h)-(-x²+x) А. h…

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Q: x² - 2x-8 if x+ 4 (4) F(x) =, x-4 if f is continuous at x=4, а, if x = 4 then a =.

A: Topic:- limit and continuity

Q: The graph of f(x) passes through the point (4, 0). The slope of the line tangent to the graph at the…

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