Determine whether the function is continuous at the given point. Show your solution.

Q: For which value of a is this function continuous? Please use exact values. { ах — 1 x > 3 f(x) = x2…

A: NOTE: Refresh your page if you can't see any equations. . here the function is continuous so we can…

Q: Determine the discontinuities of the following functions and state why the function fails to be…

A: f(x)=x3+x2-17x+15x2+2x-15function is undefine when x2+2x-15 is become 0Let…

Q: g(x) = at x = 2 %3D x+2

A: Definition of continuous function helps to check whether the given function is continuous or not. A…

Q: is the function f(x) = 1/(x-2) continuous on [1,3]? Justify your answer.

A:

Q: When is a function continuous over a closed interval?

A: A function is continuous over a closed interval when it is defined at all points in the interval…

Q: Find f(2) Is f continuous at x = 2? Explain your answer.

A: Given function

Q: Find the values that make the piecewise function continuous:

A:

Q: Use the graph to answer the question. Is f continuous at x = 0? %3D -4- -5- 2.

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Q: Give an example of continuous function?

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Q: Find the intervals where f(x) is decreasing and increasing.

A: Given,            f(x) = 2 - exx - 6

Q: identify whether the following functions are continuous or not.

A: We are given with multiple question our guideline is solve first question kindly repost remaining…

Q: Describe the continuity of the function h in the interval [0, π]. Show solution and explain

A: Given Function, hz = ez sin z - sin z + cos z, Given interval : [0, π ]

Q: Determine where the function f(x) is continuous.

A: The given function is , fx =x-8

Q: Graph the function f. Then determine whether or not the function is continuous.

A: We need to draw the  graph of given function and we need also need to check whether f(x) is…

Q: Determine whether the function is continuous or discontinuous 5. f(x) =

A:

Q: Write an equation that expresses the fact that a function f is  continuous at the number 4.

A:

Q: Write the Properties of Continuous Functions?

A: Given functions is continuous function.

Q: Determine if the given function is continuous on the given point and intervals.                -x2…

A: The given function is  fx=-x2+4 , x<02x2-5x , 0≤x<37-x  ,    x≥3 We have to check the…

Q: { -2x + 3 x 1

A: We have given a piecewise define a function fx which definition change at x=1. The functions…

Q: = Find a continuous function

A:

Q: Identify the open intervals where the function is changing as requested. Decreasing

A: We have to find the interval where the function is decreasing.

Q: Find the open intervals where the function is concave up, concave down

A:

Q: Determine whether  the following statement is true or false, and explain why. If ƒ″(x) > 0 on an…

A: If the second derivative of a function f(x) is defined on an interval (a,b) and f ''(x) > 0 on…

Q: When is a function of two (three) independent variables continuous at a point in its domain? Give…

A: When is a function of two (three) independent variables continuousat a point in its domain? Give…

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

A: A function is said to be increasing when the y value increases as the x value increases.

Q: What do all members of the family of linear functions f(x)=  c- xhave in common? Sketch several…

A: Given :           fx=c-x

Q: Determine where the following function is continuous. х-5 M(x) = 4x2 - 9

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Q: Describe the intervals on which the function is continuous.

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Q: Determine if the given function is continuous at a given value of x.

A: This question is related to limits and continuity, we will solve it using given information.

Q: Determine where f(x) is continuous, algebraically. Enter the answer in interval notation.

A: Given data: The expression for the given function is f(x)=log18(10x+150)-7x. The given function is…

Q: f (x) = 2x² – x + 6 -

A: The given function,   f(x)=2x2-x+6

Q: V16-x2 f(x) = at (-3,-1) x+1

A: Given function is fx=16-x2x+1 The interval is -3,-1 We know that function is continuous in any…

Q: Find the domain of the function and express as an interval

A: In the question it is asked to calculate the domain of the function f(x)=x+6-2.

Q: f(x) = х-16 at (5,8) Vx-4

A: We have given function fx=x-16x-4 and point 5,8.

Q: Find continuous functions

A: Given,        fn:0, 1→[0, ∞)

Q: Find, if they exist, the extrema of the function:

A: Given that  f(x,y) = x2+y2-1 Subject to x - y = 2 ⇒g(x,y)=x-y-2 Let us find  <fx,fy> Finding…

Q: Give the three conditions that must be satisfied by a function to be continuous at a point.

A: We have to write  the three conditions that must be satisfied by a function to be continuous at a…

Q: Which derivative of f tells us whether the function is increasing or decreasing?What do we check to…

A: Given function ,  f(x) = ln ( x2 + 2x + 5)  Find interval of increasing and decreasing .

Q: V16-x3 f(x) = at (-3,-1) x+1

A: Here given function  fx=16-x3x+1 Draw the graph of the given function as

Q: Use the graph to determine the values of x at which the function is not continuous.   x=

A: Given the graph of the function

Q: Vx+50-5 f(x) = at (-5,-1) х-20

A:

Q: Is the function continuous or not? If not, what condition is not satisfied? Present solution

A: A function fx is said to be continuous at a point at x=c if 1. fc is defined and exists 2.…

Q: 1.y = 5x + 2

A:

Q: examine the continuity of the function

A: Given function is not defined at x=0

Q: say whether the function graphed is continuous on[-1, 3]. If not, where does it fail to be…

A:

Q: -x, x±1 f(x) = 0, x= 1

A:

Q: x3-9x f (x) = c = -3 x² +11x+24

A: Given function is fx=x3-9xx2+11x+24. To determine whether function is continuous at c=-3. Solution:…

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.