for x < -1 f (x) = {ax +b for – 1 ах

Q: Find the x -values (if any) at which f(x) is not continuous, where (x-5

A:

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

A:

Q: Describe the interval(s) on which the function is continuous. f(x) = 3 − √x

A: Given function is

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

A: A polynomial function is always Continous in its domain

Q: Describe the interval(s) on which the function is continuous.

A: Given: fx=xx+3

Q: Find the intervals on which the function y=xx(x&gt;0) is increasing and decreasing.

A: We take ln on both sides of the function

Q: Find the intervals where f(x) = x2e−x is increasing and where it is decreasing.

A:

Q: Find aa and bb so that the function f(x)={4x^3-3x^2+5, x&lt;-2         {ax+b,             x is…

A:

Q: 2. Find all values k that make this function continuous at x = 3. Зх — 9 - if x > 3 f(x) = x² – 3x…

A:

Q: ,x5 (A) 5 (B -4 6 3 (E) none of the given choices

A: Given that, The function f(x) is following, f(x)=x-4,x≤5kx2-24x+46,x&gt;5 We have to find the value…

Q: f(x)% = x- 3x3 + 2x2-5x-7 at x = -1 %3D vnaud

A:

Q: Determine the intervals where the function f (x) = x ln x (x 7 0) is increasing and where it is…

A:

Q: For what value of the constant c is the function f continuous on (-∞, 00)? cx2 + 2x if x 2.

A:

Q: x² -x-2 Is the function f(x) : Fcontinuous at x = 2? Why or why not? x-2

A:

Q: For what value of the constant c is the function f continuous on (-0, 00)? C =

A:

Q: For which values of x is the function below NOT continuous?

A: To find out the values of x at which the function is discontinuous.

Q: For what value of the constant k is the function f continuous on (-∞, 0)? 5x2 – kx + 7 if x 7 k =

A:

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

A:

Q: Determine the values of the constants a and b which make the function f(x) below continuous at x =…

A: A function f(x) is continous at x = a when:

Q: Use the first derivative test to determine the intervals where f(x) is increasing and decreasing and…

A: To find critical point put f'(x) = 0 If f'(x) &gt; 0 at each point in an interval I , then f(x) said…

Q: For what value of the constants A and B is the function f continuous on (-∞, ∞)? A√x+6-1 for x 3

A:

Q: At what points are the functions continuous? x + 3 f(x) 2 - et

A: The given function is fx=x+32-ex

Q: Determine the open intervals where the function f(x)= xe^x is increasing and where it is decreasing.

A:

Q: Is the function f(x) : 1 continuous or discontinuous on [2,+∞)? Vx - 2 Is the function f(x) : 1…

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Q: Consider the piecewise function 1 3.x if x < -2 f (x) = ax2 + 2x + b if – 2 < x Where a and b are…

A:

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

A:

Q: 3. f(x) = v2x – 5 at x = 3 -

A: (3) Given function is fx=2x−5 We have check whether the function fx is continuous or not at x=3 For…

Q: Find the absolute maximum and minimum of the function  f(x)=xe-x on  the interval [-1,1]

A:

Q: Let f(x)=x²+2x if x<5 - Cx if x 25. For what value of the constant c is the function f continuous on…

A: We have to calculate the value of c

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: Describe the interval(s) on which the function is continuous.                            f(x) =…

A: fx=xx2+x+2 Since there is no common factors in the numerator and denominator, therefore there is no…

Q: Find the extreme values of the function f(x)=x√√1- x .- x on the interva

A:

Q: Determine the extreme values of the function (exact coordinate(s) f(x) = 2sinx – x on the interval x…

A:

Q: Find the absolute maximum and absolute minimum of the function on the given interval. f(x) = x – In…

A:

Q: Determine the intervals of concavity for the function f(x)=e^(-x)- e^(-(-3x).You must use exact…

A:

Q: How must f(0) be determined so that the function f(x) = x2-x ニー x0, is continuous x-1 at X= 0?

A: Let f be a real function . Let a be any point in its domain . If limx→afx exist and equal to fa Then…

Q: Find the constant a such that the function is continuous on the entire real line. (8x?, lax – 6, x2…

A: Given function f(x) = 8x2-x≥1ax-6, x&lt;4we find constant 'a' such that the function is continuous…

Q: Solve for a andb that makes the function continuous at every number in its domain f(x) = 2x+1 x5

A:

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

A: if Left hand limit and right hand limit are equal then function is…

Q: Q3. Determine whether the function is continuous at x=1 or not (x² - 1 x = 1 f(x)=x-1 2, x = 1

A:

Q: Determine the value of the constant a for which the function f(x) is continuous at - 3. x2 + 8x + 15…

A:

Q: Suppose we know that f(x) is continuous and differentiable on the interval (-7,0], that f(-7)=-3 and…

A: fx is continuous and differentiable function on the interval -7, 0, f-7=-3 &amp; f'x≤2.

Q: Q20: . Suppose that f(x) is continuous and differentiable on the interval [0,6], that f(6) = -7 and…

A: Given that the function “f (x)” is continuous and differentiable on the interval [0, 6] that, f (6)…

Q: Determine the interval(s) on which f(x)=square root(x/x-4) is continuous.

A: Given query is to find the interval where function is continuous.

Q: f(x)=√√x at x = 7

A:

Q: Find the value of k that makes function continuous at I = 4 2x + 8 x > 4 f(x) = 4x k r< 4

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

Q: If |ƒ(w) - ƒ(x)| &lt;=|w - x| for all values w and x and ƒ is a differentiable function, show that…

A:

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: Find the intervals on which the function is continuous. y = 서+2 7 |

A: Please rate and feel free to ask any query about any part of the question.

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.