Determine the x-value at which the function f (x) = 1 is discontinuous and state the type of discontinuity: removable, jump, infinite, or none of these. ? 1. Choose the type

Q: f(x) = In(x)

A:

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

A: A polynomial function is always Continous in its domain

Q: find all possible functions with the givenderivative. y' = √θ

A: We first separate the variables

Q: 2. Given the function f(x) = ., determine if the function is continuOus or not. Identify the point/s…

A: Given function f(x)= (x2-1)/(x-1) is continuous or not , determine type of discontinue.

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

A: We take ln on both sides of the function

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

A:

Q: For what value of k will the function f be continuous on (-∞, 0)? { x2 – 16 if x + -4 f(x) = x + 4 k…

A: We have to find

Q: F(X)

A: y = f(x) is continuous at x = a  only if following properties are satisfy : (1)  f(a) exists . (2)…

Q: Use the given graph of the function to find the r-values for which f is not differentiable.

A: The function fx is not differentiable at any point x=c, in the following cases, 1) fx is not…

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

A:

Q: 4. List the discontinuities for the function f(x) = cot(* :).

A: First write the given function into Numerator and denominator form and , to find the discontinuity…

Q: On the graph of f(x)=cosx and the interval [2π,4π), for what value of x does f(x) achieve a maximum?…

A: see attached file for a detailed solution.

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

A:

Q: 49. Is the function given by g(x) = x² 3x continuous at x = 4? Why or why not?

A: Given: g(x)=x2-3x Determine the limit at x=4. limx→4g(x)=limx→4(x2-3x)

Q: Find the value of the constant & that makes the following function continuous on (-o, o). | 2x – 6…

A: fx=2x-6     if  x≤6-3x+b  if  x>6 Since the function is a polynomial function for all x<6…

Q: What type of discontinuity occurs at x = 1 for the piecewise function? if x <1 if 1<x 3+ x h(x) =…

A:

Q: Where is the function f(x) = if x 0 removable discontinuity? Is it a jump discontinuity?

A: A jump discontinuity occurs when right and left limit exists but are unequal .

Q: Which of the following is the x-coordinate of a relative extremum of the function f(x) = = Arct…

A: We will use first derivative test to determine the extremum of the function.

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

A:

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

A:

Q: Find the intervals on which the function is continuous. 1 46) y 7x+ 6

A: Given a logarithm function:find the intervals on which the function is continuous

Q: Determine the values of x at which the function in Figure  is: (a) discontinuous and (b)…

A: To determine the values of x at which the function is  a) discontinuous. b) nondifferentiable.

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: Graph h and describe the discontinuity: h(x) = { ex lnx for x &lt; 0 for x &gt; 0 Is h left- or…

A: Given the function h(x)=ex lnx.  We need to sketch the graph for the given function for x&lt;0 and…

Q: Graph h and describe the discontinuity: for x 0 Is h left- or right-continuous?

A:

Q: 22. For the following functions, identify any points of discontinuity, and if any exist, classify…

A: Solution is given below..

Q: Find the absolute maximum value of f(x)= +1 on the interval [0,27]. +1

A: Given function…

Q: b. Identify the function's local and absolute extreme values, if any, saying where they occur. g(x)…

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: 3. Give an example of a function with discontinuities at x =1 and x = 5.

A: To Find : A function that has discontinuities at x=1 and x=5.

Q: Make a graph of the functionƒ(x) , for x ≥ 1. Be sure to include all of the evidenceyou used to…

A: Given:  The function fx=∫1xdtt for x≥1, To sketch: The graph of fx for x≥1,

Q: Find the numbers at which the function is given   is discontinuous. At which of these points is f…

A:

Q: Let f(x) = e2sinx 1. Find the absolute extremum values off on the interval [7]

A: To find the extreme values of given function at given  interval.

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 k that makes the function continuous. Ska², f (æ) = x > 2 kx + 12, x < 2

A: Topic - continuity Function is continuous If its left hand linit is equal to right hand limit and…

Q: 3. Given f(x) ==, determine the maximum or minimum values if any using an interval table. X

A:

Q: On what interval is the function f(x) = x^3 - 4x^2 + 5x concave upward?

A: Use given function find the required result

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: 4х + 5 f(x) 9 — Зх -

A:

Q: Find the open intervals on which the function is increasing y = x/100 – x²

A: A function is said to be increasing in an interval its derivative is positive in that interval.

Q: Give the graph or the formula of a function that is continuous but not differentiable at x=0.

A:

Q: 6. Determine the inflection points and intervals of concavity for the function y= e2*

A:

Q: t the following functions : allest maximum value to ximum value. f(x) = -5a? – 11 5x²

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The extrema of a…

Q: Find the largest open interval where the function is changing as requested. 24) Increasing…

A:

Q: Which of the following functions passes through the point (0,12) and satisfies f'(x)=8 ?

A:

Q: Find the absolute maximum value of f(x) = x? – 2x + 5 on the interval [0,4]. -

A: Given data   The given function is f(x)=x2-2x+5. The given interval is [a,b]=[0,4].   The…

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.

Q: Use the following graphs to identify the points (if any) on the interval ⌊a, b⌋ at which the…

A: When the graph of a function attain its highest value within the domain of the function then, the…

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]…