x² - x- 6 x- 3 x + 3 Given a function ƒ(x)=- . Check whether it is continuous at x = 3 and justify x = 3 your answer with necessary steps.

Q: f(x) = 9x² - 4 at x = 1

A:

Q: Determine the value for k that will make the function continuous at c = 4. x² – 9 if x 4

A: Left-handed limit of a function at a point is obtained by approaching the point from the left on the…

Q: Determine the value of the constant a for which the function f(x) is continuous at -4. x + 7x + 12 x…

A: Given function is fx=x2+7x+12x+4 if x≠-4a                  if x=-4 We have to find the value of a.…

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: Find intervals where f is increasing/decreasing f(x)=x3+3x2-9x-12

A: Given function

Q: Find the intervals on which the function is continuous. x +5 17) y =2-7x + 10

A:

Q: Find the values of x for which the function is continuous. (Enter your answer using interval…

A: The function is given as fx=4-x      if x<3 2x-5    if x≥3 find values of x for which the…

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>5 We have to find the value…

Q: List the x-values where the function is not continuous: f(x) = -x+ 3 if ex if if 3 – x x < - 3…

A:

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

A:

Q: determine if the function y = x^2 −9/x+3 continuous or discontinuous at x = −3

A:

Q: (b). Show whether (*) is continuous at *=-2, if (3x-2 for x = -2 S(x)=. x? - 4 х- 2 for x * -2

A:

Q: x+2, The function f(x) = 2x², Select one: Ⓒ True False x≤1 1<x<3 is continuous from the right at x =…

A:

Q: continuous at x- 3? Why or why not? Is the function given by f(x) = ! 3*+5, for x 3,

A:

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

A:

Q: Find the number c which will make the function continuous on (-00, 00). x< 2 f(x) = x+ c, x22

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: 3. State where the function below is continuous using interval notation. if x<2 4 f(x) = 3 if x 2

A: To check whether the given function is continuous using interval notation.…

Q: True or FalseA 1. A Step-function is continuous at every point in its domain

A: Given: A step - function is continuous at every point in its domain. To write: The given statement…

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

A: It is clear from the graph that  function y=g(x) is continuous in [-1,3) But at x=3, Therefore, g…

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: At the given point xo discover whether the given function is continuous or discontinuous citing the…

A: We know that a function fx is continuous at x=a if: limx→a-fx=limx→a+fx=fa Removal discontinuity…

Q: if fcx) = _X then f (-1) is: |-X

A:

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: x+2, ifx2 b, f continuous on (-∞,0).

A: Given f((x)=x+2x&lt;2ax2x=2bx&gt;2

Q: (x² + 1 if x -1

A: For function g(x) to be continuous on -1 limx→-1-g(x)=limx→-1+g(x)=g(-1)…

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…

A:

Q: x+1 Is the function f(x) - X2 *Xく2 ;ン2 x >2 2X-1 continuous at x= 2? Why or why not? Show solution.

A:

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

A:

Q: | mx — 11 if x < - 6 – 6 - Let f(x) l x2 + 4x – 5 if x 2 - 6 If f(x) is a function which is…

A:

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

A:

Q: 2) If possible, give an example of where a function is continuous at a point but not differentiable…

A: Continuity of a function is the characteristic of a function by virtue of which, the graphical form…

Q: function

A: We are given a function : f(x)=x2-2x+2x-3 We have to determine the domain of given function where…

Q: For what value of the constant c is the function f continuous on (-∞, 0)? if x 5 C = Need Help?…

A:

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

A:

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 a and b that will make the function continuous. for x 1/2

A: The function f(x)=1x,        for x&lt;-1ax+b,  for  -1≤x≤121x,         for x&gt;12. We have to find…

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

A: Given,        fx=x2-3x+8

Q: x+4 if x2

A:

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

A:

Q: x'-125 3- If f(x) : x-5 is the function continuous at x=5

A:

Q: x²-a if x2 is continuous at x-2, then x+3 if x-2 If the function fo)

A:

Q: f(x)=√√x at x = 7

A:

Q: B1(a): Find the value of k that makes function continuous at x = 4 4x + 6 x > 4 f(x) = 6x – k x < 4…

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

A:

Q: Suppose f(x) is a continuous function with f(-2) = 4 and f(1) = -1. What can we conclude about

A:

Q: 2х-3 Find the interval of f (x) = 5-4х that will make the function continuous

A:

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