For what values of a and b is the following function continuous at every x? xS 3 -7 f(x) ax b -3

Q: Let f be the function 3x-1 for x f(x) = 4x-1 Find the values of a and b that make the function…

A: Given: fx=3x-1for x<-1ax+bfor -1≤x≤124x-1for x>12

Q: Determine the value of the constant a for which the function f(x) is continuous at 1. x + 3x +2 if…

A:

Q: At what points is the following function continuous? x2 - 4x -5 x+5 f(x) = x- 5 6, x = 5 ..... The…

A: At what point is the function continuous

Q: = −4x2+5x  if x2. a. Determine the value of a for which g is continuous from the left at 2. b.…

A:

Q: At what points is the following function continuous? х - 3х - 10 X#5 f(x) = х-5 7, x = 5 The…

A: topic -limit and continuity

Q: Can i get help step by step with this problem?

A: For what values of a and b is the following function continuous at every x

Q: Find a value ofk such that the following function is continuous at all real numbers. 3x-4 if x1 If…

A: Let fx be the given function . Then f is continuous at x = a iflimx→afx = fa

Q: Suppose f(x) is differentiable everywhere and f(1) = -2 and |f'(x)| < 4. Show that –10 < f(3) < 6…

A:

Q: If the function / is continuous for all real numbers and if f(x)= ² when x*-2, x+2 then f(-2) = O…

A:

Q: Find the values of x for which the function is continuous. |x - 10| x - 10 f(x) = O x+ 0 all real…

A: For continuity: 1. The function should have a finite value at given x.  2. mod(fx) = f(x) , if f(X)…

Q: *show work*

A: If x is continuous at x=-1 then left and right limit at x=-1 must be same. From there find a…

Q: At what points is the following function continuous? x² -x - f(x) = x+3 X- 3 5, X =3 The function is…

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

Q: 22. If possible, find constants a and b so that the function f that follows is continuous and…

A:

Q: For what values of a and b is the following function continuous at every x? 0 XS-1 f(x)= ax-b - 1<x<…

A: Given that function     f(x) =           0                  x ≤-1 ax-b-1        -1&lt;x&lt;1…

Q: On the graph of f (x) = cos (x) and the domain 2π ≤ x < 4π, for which of the following interval is f…

A:

Q: Find a general formula for f((x) if f(x) = x-5. f(n)(x) =

A: fx=x-5.

Q: 3 Find a formula for f-'(x) if f(x) = ( x – 1 x + 1 f-'(x) = (5-1)'(2) =

A: Solve the function

Q: 1. Determine all values of the constants a and b so that the following function is continuous for…

A:

Q: Does there exist a real number c that makes the following functions continuous over (−∞,∞)? If…

A: If the function is continuous at (-infinity , infinity) then it must be continuous at x=4 tooWe must…

Q: Given f(x)=x2 -4/x-2 if x is less        than 2                  ax2-bx+3 if x is greater or equals…

A: The given function is fx=x2-4x-2          x&lt;2ax2-bx+3        2≤x&lt;32x-a+b                x≥3…

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing.

A: Given information: fx=-x33+x22+2x

Q: Suppose that f(1) = 3 and that f'(x) ≥ 4 for all x. How small could f(9) be? ( Using TheMean Value…

A:

Q: For what values of a and b will f(x) be continuous on everywhere at x = 2 if the function is x2 -4…

A:

Q: Why is the following function discontinuous at the given number?\\ f(x) = ln |æ - 21, x = 2\\ (a)…

A:

Q: 12. Find the value of k that will ensure that the following function is continuous at x = 3: x² + k…

A: As we know that the function is continuous at x=a if:   limx→a-f(x)=limx→a+f(x)=finite…

Q: Given the function: x2-4 if x 2 f(x) = , 2-x if x = 2 What should be the value of k so that f is…

A:

Q: -2 xs-1 f(x) 3 ax-b -1<x<1 x21

A:

Q: Is there a temperature in Fahrenheit that is the same as the temperature value in Celsius? If so,…

A: To investigate if the values of Farenheit and Celsius ever coincide

Q: The function f(x) = 2/(x-5) is continuous on the interval (0, 5). Select one: O True O False The…

A: Answer: false

Q: a + bx, for x > 2 3, for x = 2 - ax?, for x <2 Consider the function f(x) = Determine the values of…

A:

Q: Does there exist a real number c that makes the following functions continuous over (−∞,∞)? If…

A: If function is continuous at point of given interval, then

Q: 1.βx − 3 if x ≤ 2(b) Suppose that f(x) = βx + 2 if x &gt; 2Find the value of β so that f(x) is…

A: For continuity, left hand limit=right hand limit=f(x)

Q: For what values of a and b is the following function continuous at every x? f(x)={   -2,     x_ 3…

A: Given:             {-2 ,        x≤-3f(x)= {ax-b,    -3&lt;x&lt;3            {7  ,           x≥3…

Q: For what values of a and b is the following function continuous at every x? - 9 XS -3 f(x) = { ax -…

A: Given:

Q: b) Find the Constants "a" and "b" such that the following function is continuous for all real…

A: We have to properties of continuity first.

Q: For what values of a and b is the following function continuous at every x - 3 XS - 1 f(x) = { ax -…

A:

Q: Let f be the function for x 1 бх-1 ax b for 1 x 2. Find the values of a and b that make the…

A: To determine the value of the constants a and b such that the function f(x) is continuous.

Q: The function 12.x + 11 f (x) = x2 – 9x + 8 - is undefined at x 1. Is it possible to define f(1) so…

A:

Q: 4. Determine the constant m such that f(x) = {x2 + m, if x ≥ 3…

A: Given that: f(x)=x2+m, if x≥32x-m, if x&lt;3

Q: Of the given values of x, identify those at which the function is continuous. f(x) = 5x-9 ; x = 9,…

A:

Q: 7. Find the values of a and b for which f(x) is continuous everywhere, if 2.x + a, x -3

A: If a function is continuous then, limx→k-fx=limx→k+fx=limx→kfx

Q: Find the value of k so that the function f is k-x2 x3 X< 3 continuous at x=3 and f(x) х-8

A: Given, fx = k-x2x≤3x-8x&gt;3   We have to find the value of k so that function is continuous at x =…

Q: For what value of the constant 4 is the following function continuous for all real x? if x<1 [ 4x +…

A: From the given x values , we can see that the function f(x) is continuous at x=1 At x=1 the value of…

Q: For what values of a and b is the following function continuous at every x? - 10 f(x) = axb 4 x≤ -3…

A: Function to be continuous at point x = a, it must be defined at that point.

Q: On what interval is the function f(x) = 4(x + 7)² +1 increasing? Sive your answer in interval…

A:

Q: Find the values of a and b that make f continuous everywhere. x² - 4 X - 2 ax? - bx + 3 2х — а + b…

A: The given function f(x) is continuous everywhere, thus the function is continuous at x = 2 and x =…

Q: Let - (4x + 2) 2x2 if x 1 Find a formula for f'(x). Note: f(x) is differentiable at x = -1, but is…

A: Given function is Following cases arises

Q: Given f(x) = 2-92+20 what should be assigned to f(4) to make f(x) continuous -4 at z = 4? For those…

A: To solve this question we need to apply the condition of continuity of a function at a given point.

Q: Given the function x2 - 4 x<2 X- 2 f(x) =. ax3 – bx +3; 2sx<3 2x- a + b; X23 the values of a and b…

A: It seems that the given options are not correct at all   We will find the correct options using…

Q: For what values of a and b is the following function continuous at every x? -1 xs - 1 f(x) < ax b…

A: At x=-1 , left hand limit=-1 Right hand limit= a(-1)-b= -a-bThe function is continuous so left hand…