f(x)= {-4x     x < 0 f(x)= {17       0 ≤ x ≤ 4 f(x)= {x2+1   x > 4

Q: Given the graph below, what can you say about the function at x = 0? Continuous Not Continuous

A: For the given graph , what can you say about continuity at x=0 .

Q: How can I explain what it means for a function f(x) to be O(1)?

A: The 'f(x) to be O(1)' is to be read as function f(x) is of the order of 1.  Now refer to step two to…

Q: Determine if the given function is continuous and differentiable at the indicated values of x. Show…

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

A: topic - transformation

Q: f(x) = at x = 1 X-2

A: A polynomial function is always Continous in its domain

Q: Determine if the given function below is continuous at x-2. Attached your complete solution and…

A: Topic = Continuity

Q: find the points of inflection and discuss theconcavity of the graph of the function. y=x-\ln x

A: Consider: y=x-ln x. Find the inflection points and concavity of function. First find the domain of…

Q: Which of the following functions has a lower absolute minimum? f(x) = 4Vx – 2 – 5 8(x) = 2x2 – 4x –…

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Q: 4x+5 ;x=-1 and x= 3 9-3x 14. f(x) =

A:

Q: For what value of x does the function f(x)=1/3x3-4 attain the absoulte maximum in tyhe interval…

A: Put derivative zero for maxima and minima

Q: Find the absolute extrema for f (x) = -x² – 1 over [-2,2] .

A: Please refer the attached image for complete solution.

Q: When a function is discontinuous at x=2, does that necessarily mean that 2 is not in the domain of…

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Q: Find the value of the constant bl that makes the following function continuous on (-∞, ∞). if x 6|…

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Q: Find the value a that will make f(x)={2x^2-7x+3/x-3  if x is not equal to 3…

A:

Q: (Kx 04x< 2 fcx) (3 x² 2€x メ ○ト×

A: We need to find the value of K for which given function is continues on its whole domain (any…

Q: f(x) = x2 -4x-2 at x = 1 %3D %3D

A:

Q: Find the value of the constant (a, b, or c) that makes the function continuous.

A: A function fx is continuous at x=a if its left-hand limit, right-hand limit, and fa are equal and…

Q: On what domain is the function f(x)=1+√−6−3x continuous?

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Q: entiable at x = 1. What is f'(1)?

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Q: The graph of f(x) and a line tangent to the curve at x = 4 are shown. If g(x) = f(x), evaluate…

A: Finding the g'(4) from the given conditions.

Q: The function f is given by f (x) = (1+x)=. How do the values of f behave for small positive and…

A: Here we define  f  for small or large positive value of x.

Q: (x² + 8, if x4) Consider the function f(x) = Find the value of B such that f (x) is continuous at x…

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Q: f(x) at x = - 3 X-3

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Q: Q4: A) Car A is travelling west at 60 km/h and car B is travelling north at 1150 m/min. Both are…

A: Let at any time 't', the distance of car A from the intersection is x, and the distance of car B…

Q: Find the locations of any absolute extrema for the functions with graphs as follows.

A: Given:- The graph is given we have to find the absolute extrema.   Explanation:- An absolute…

Q: f(x): at x = 3 X-3 f(x) = at x = 0 f(x)%3D%x6 at x - 0

A:

Q: Find all values k that make this function continuous at x = 3. 3.x – 9 - if x > 3 x2 3.x f(x) - 3x…

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Q: Q3) if the continuous function is : 4x+1 F(x) -+k at x= h. Find the value of h,k.

A: 3). Given function is:   fx=4x+1x&lt;hx3+kx=hx2+1x&gt;h Solution: A function fx is continuous at x=h…

Q: What is the length L of the interval on which the function f(x)=x4e−x is increasing?

A: Given

Q: f(x): 2x at x = 4 x2-3 f(x) = V3x - 10 at x = 2

A: According to question,a. Given function,fx = 2xx2 - 3

Q: : Find the value of k that makes function continuous at x = 5 5x? – k x 5 f(x) =

A: Limit of a function at a point exists if the left-handed limit and right-handed limits at that point…

Q: Find the value for k so that the function will be continuous at x = 2. 4x + 16 if x 2

A: The function fx is continuous at x=a, if limx→a-fx=limx→a+fx It is given that fx=4x+16if…

Q: On what domain is the function f(x) = 3x + 5x + 6 continuous?

A: The given function is, fx=3x2+5x+6

Q: The graph of  f(x)  and a line tangent to the curve at  x = 4  are shown. If  g(x) = sqrt(f(x))…

A: In the question it is asked to calculate the value of g'(4) for g(x)=f(x). for the graph given…

Q: find the value of the constant (a, b, or c) that makes the function continuous

A:

Q: The graph of f(x) and a line tangent to the curve at x = 4 are shown. If g(x) = V f(x), evaluate…

A: To find: The value of g'(4) if g(x)=f(x). Concept used: Chain rule: f(g(x)=f'(x)g'(x)

Q: Find values of the constants a and b, that make the function f(x) continuous everywhere. 2x3 + x +…

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Q: Determine if the following functions are continuous at the given value of x. Show your solution. 1.…

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Q: Determine if the function is continuous or discontinuous at x = 2. x2 - 1, if x 22 h(x) = 2x-1, if…

A: We have to find

Q: Find the value of constants c and d that make the function below continuous at x = 4. x2 5x x 4 d +…

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Q: 4х + 5 f(x) 9 — Зх -

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Q: Given the graph below, what can you say about the function at x = -1? Continuous Not Continuous

A: Explanation of the answer is as follows

Q: 3. Is the function given by g(x) = x² x = 4? Why or why not? 3x continuous at

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Q: entiable at x = 1. What is f_(1)?

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Q: Kindly solve with complete solution DETERMINE IF THE FOLLOWING FUNCTION IS CONTINUOUS AT THE GIVEN…

A:

Q: This extreme value problem has a extreme values of the function sub f(x, y) = 4x + 8y, x2 maximum…

A: Method of Lagrange's multiplier: The Lagrange multiplier method is a straightforward and elegant way…

Q: What is the x-value associated with the extreme point of the following function: 1*1.1^x+ 1*0.2^x?

A: Given Data: Function: fx=1×1.1x+1×0.2x The derivative of the given function is,…

Q: Find a value for the constant k, if possible, that will make the function continuous. kox+1 for x 3

A: K = 1/3

Q: If functions ƒ(x) and g(x) are continuous for 0&lt;=x &lt;=1, could ƒ(x)/g(x) possibly be…

A: According to continuity theorem if f(x) and g(x) are continuous on [0,1] then if g(x) ≠ 0 on [0, 1]…

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.