On which interval does the function f(x) = (x+ 5)/(x - 1) discontinuous? %3D O a. (1, 2) O b. (-2, 1) О с. [0, 2] O d. [-1, 0] The function below is continuous at any number. Find the value of k- c. х, x<1 1< x < 4 x > 4 f(x) = сх + k, -2x, Answer:

Q: V1– 3x, if x -1 2x +1 Show that f is continuous at x = -1 is differentiable there by computing the…

A: See below the calculation

Q: The value of (x,f(x)) for the upper and lower limits of the function fx=x^3-6x^2+4x+8 and for the…

A: Given function is fx=x3-6x2+4x+8find the upper and lower limits of the function for the period…

Q: The function f(x) = 3x³ + cos(3ræ) + 2x , x > 1 is known to be a strictly increasing function on its…

A: Given f(x) = 3x3 + cos(3πx) + 2x,  x≥1   ⇒ f'(x) = 9x2 - 3πsin(3πx) + 2

Q: For the function f(x) = cos2 x on [0,pi]  a) find the critical points on the given interval b)…

A: Given:

Q: The slope of a line passing through the point (a,b) not on f(x), and a tangent  to f(x) = x² can be…

A: Given curve is: f(x) = x2 The equation of the tangent line of the given curve is: y-y1=m(x-x1) where…

Q: The function fis continuous for all real numbers, and the average rate of change of fon the closed…

A:

Q: Find the values of α and β such that the function f(x) = ( α cos x + 2 if x < 0 βe3x + αx2 if x ≥ 0…

A:

Q: 8. Suppose that f is a continuous function such that f'(x) > 0 for all æ, f(0) = 0, and f(1) = 1. If…

A: f'(x)&gt;0 for all x, f(0)=0 and f(1)=1.To Find: If ∫01f(x)dx=13, find the value of ∫01f-1(x)dx.

Q: Let f(x) be a function that is defined and has a continuous derivative on the interval (2, ∞).…

A:

Q: 1 x2 - х х x 2 Vx -2, Identify if the function g(x) is continuous/discontinuous at x=1. If…

A: Given: f(x)=1x2-x+1xx&lt;0-10≤x&lt;101≤x&lt;21x=2x-2x&gt;2 To determine: The given function is…

Q: The function f(x) = x + 1/x is O Decreasing on (0,1) O Increasing on (0,1) O Increasing on (-1, 0) O…

A: Answer is written below

Q: Given the graph of derivative f'(x), find: a) Any interval(s) where f(x) is decreasing b) Any…

A:

Q: 3. The graph of the continuous function g, the derivative of the function f, is shown above. The…

A: Given problem is :

Q: Find a nonzero value for the constant k that makes the function tan(kx) f(x) = 3 3x + 2k2,…

A: Given: f(x)=tan(kx)x,   x&lt;03x+2k2,   x≥0 A function f(x) is continuous at x=a, if limx→a-f(x) =…

Q: Q1 (a) Sketch the graph of two continuous function g(x) = cos x and h(x) = on the same plane,…

A: ..

Q: Let f(x) be a differentiable function for -3<x<1. Over this interval f(x) has exactly one critical…

A: for maxima or minima, we need to check second derivative of the function.

Q: Q1 (a) Sketch the graph of two continuous function g(x) = cos x and h(x) = on the same plane,…

A: Solution is here

Q: Vx +1 for 0<x<3 (5-x for 3< x< 5 Let f be the function defined by f (x) = %3D (a) Is f continuous at…

A:

Q: Find a value of c that makes the following function continuous at x = 0. Explain why the value of c…

A: Given that, f(x)=15x-5sin3x2x3, x≠0c,                          x =0 The function is continuous when…

Q: A function, f (x), has derivatives: f'(x) = x² (x – 3) f"(x) = 3x(x – 2) Which of the following…

A: Given data is : A function, fx, has derivativef'x=x2x-3f''x=3xx-2

Q: 1) Find the value of Z that make the function continuous at x=4? V-2 x + 4 X-4 f(x) = {z3 x = 4

A:

Q: Find the values of α and β such that the function f(x) = ( α cos x + 2 if x < 0 βe3x + αx2 if x ≥ 0…

A:

Q: For all but two choices of a, the function (x) x if x a will be discontinuous at the point x = a.…

A:

Q: 1. Use the properties of continuous functions to explain why f(x) =x cos(x) +1 is a continuous…

A:

Q: Q1: From the given graph of f(x) = sin x; [0 ,27] , f ind: (a)The critical points. 211 -2…

A:

Q: Find numbers a and b, and c, so that f is continuous and differentiable at every point. 4) x- + C,,…

A:

Q: A continuous function y = ƒ(x) is known to be negative at x = 0 and positive at x = 1. Why does the…

A: Given that f(0)&lt;0 and f(1)&gt;0  f(x) is a continuous function.

Q: The graph of the derivative f'of a function f over the interval (0, 6) is shown. y y = f '(x) 4 6 8.…

A:

Q: Find the values of c that make f continuous everywhere: ´x² – c² if a 9 smaller c = larger c = Use…

A:

Q: 1. Determine the intervals of the domain where each function is continuous. Use appropriate interval…

A: (1). (a).  The given function is: h(t)=t2-9-1

Q: Determine if the function f below is continuous at x = 1: ſ1– VT- x, x 1

A: According to question,given function,fx = 1-1-xx≤1ln xx&gt;1

Q: Q3) If the function (2x + 1 +2 x > h) XSh f(x) having limit at x = h. Find the value of h. Q4) f(x,…

A: Our objective is to solve the above questions.

Q: The first derivative of the function h is given by h'(x) = tan(0.1x- x) for -n < x < R. On what…

A: Solution Given h'(x)=tan(0.1x3-x) for -π&lt;x&lt;π.we need to find on what intervals is h…

Q: Let f(x) be a function that is defined and has a continuous derivative on the interval (2, 00).…

A:

Q: Find the global minimum of the function f (x) 1 + x² on the interval (0, co0)

A: Given that f(x)= 1+x2.  And we find global minima on the interval (0, infinity).     Here i attached…

Q: S x2 – 3 |kV5+x _if x > –1 if x < -1 - 2. Determine the constant k such that the function f(x) : is…

A: As per our guidelines, I can answer one question and maximum three subparts of a question. Since you…

Q: The equation of the tangent line for the graph of F(x)= Ln (f+4)df at x=2 is O y-Ln(68)(x-2) O…

A:

Q: (a) At 12 noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/ hour and ship B is…

A:

Q: 3) Determine the value(s) of k that make the functionf (x) continuous for all x. Show your work for…

A:

Q: Which of the following statements is true about the function f whose derivative is f'(x) = (x –…

A:

Q: (c) Determine whether the following function continuous at point (0, 0). Justify your answer. x²-xy…

A:

Q: 4. `s.] Find the number a and b at which f is continuous everywhere? x² -1 if x 2

A:

Q: 7. Suppose that the function f (x)=2-sin(e*) is continuous on with equal step 2'2 size, h equal to .…

A:

Q: 7. Find the intervals on which the function is continuous, J (X) = +3)2+6

A:

Q: *show work*

A: Given:A continuous function y = f (x) is known to be negative at x = 4 and positive at x = 9.

Q: H.W Ex 2: Determine if the f(x) is continuous at x = 3 ? [x² – 1 f(x)=- |x² + 2 at x=3 at x+3

A:

Q: x-1 for x 1 x -1 show that flx) is continuous at x = 1 !3! for x 1,

A:

Q: Find a constant b such that h is continuous at x = 2, where h(x) = {x + 1 for lxl &lt; 2 b - x 2 for…

A: Given, hx=x+1x&lt;22b-x2x&gt;2