Find the constants a and b such that the function is continuous on the entire real number line. x < -1 10, ax + b, -1 < x < 3 -10, f(x) = x 2 3 a = b =

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

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Q: Find numbers a and b, or k, so that f is continuous at every point. 3x+ 9, if x<-6 f(x) = { kx+ 6,…

A: Hair we are given that the function is continuous at every point. we use the concept of limit for…

Q: find the intervals on which the function f(X) = x3+5x2-8x+1 is strictly increasing function

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Q: Find the intervals on which f(x) = x4 is increasing  and the intervals on which it is decreasing.

A: Given function:

Q: Find the constant a such that the function is continuous on the entire real line. 7sin x if x < 0…

A: Here we find the value of constant a

Q: Find the value of c such that the function is continuous on the entire real number line. f(x) =    x…

A: Given : fx = x+2    x≤4cx+8  x&gt;4

Q: Find the value of c such that the function is continuous on the entire real number line. f(x) =    x…

A: Given that the function: fx=x+3,              x≤2cx+6,           x&gt;2

Q: Find the constant a such that the function is continuous on the entire real line. [ 5x², x 2 1 x < 1…

A: The given function is: f(x)=5x2   ,   x≥1ax-3,  x&lt;1 To find constant 'a' such that the function…

Q: *The interval [a, b] for a function x^3 - 4 x- - ...... 9 = 0 is [2,3] O [0, 2] O [0, 1] O [1, 2] O

A: We need to find the interval for a function f(x)=x3-4x-9=0

Q: Find the open intervals where f is increasing or decreasing. f(x)=ln|x^2-1|

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Q: Find numbers a and b, or k, so that f is continuous at every point. 5) f(x) = 10x + 8,if x < -1 kx…

A: If f is continuous , solimx→-1-fx=limx→-1+fx

Q: If the function f (x) is continuous for all real numbers and if f (x) x²-4 when x + -2, then x+2 f…

A: f(-2) = -4

Q: Find the constant a such that the function is continuous on the entire real line. (x) = {4x?, ах —…

A: We have to find a

Q: 2. Find the constants a and b such that the function is continuous on the entire real line. 7 x 4

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Q: Show that the function f(x) = x' + 3x² is continuous at every real number a.

A: fx=x3+3x2

Q: Find the constant a, such that the function is continuous on the entire real line. f(x) = {2x2,…

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Q: Find all numbers C in the interval [− 2, 2] guaranteed by the Mean Value Theorem for the function…

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Q: Find and classify the extreme values of f(x)=6x^4 - 4x^6 over the interval [-2,2]

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Q: 9. The interval for function (6-x)/4< (3x-4)/2 is

A: Find your answer below

Q: Find all real numbers  x such that  x^6−3x^3−18=0. Give your answers in increasing order.

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Q: find the intervals on which the function f(X) = x3 +5x2 -8x+1 is strictly increasing function

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Q: Find the constant a such that the function is continuous on the entire real line. g(x) =    4sin x…

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Q: Find the constant a such that the function is continuous on the entire real line. 9x², ax - 3, a = x…

A:

Q: Find the constant a such that the function is continuous on the entire real line. 2sin x a 11 g(x):…

A:

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 the constant a such that the function is continuous on the entire real line. g(x) =    6sin x x…

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Q: Find the constant a such that the function is continuous on the entire real line. 1 = √7x², lax - 5,…

A: Topic = Function

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

A:

Q: Find the function f if it is known that f prime of x= 3x^2 +6x-7 and f(-1)=10.

A: Given: f'x = 3x2 + 6x - 7 and f-1 = 10 To find: fx

Q: Find the constant a such that the function is continuous on the entire real line. 8sin x If x < 0 if…

A:

Q: Find all extreme value (if any) of f(x)=3x^½ + x, on the interval [-1/27, 1/27]

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Q: Find the constant a such that the function is continuous on the entire real line. 8sin x if x < 0…

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Q: Find the absolute max and min of the function f(x) = cubed root of x − x on the interval [−8, 1]

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Q: Find the constant a such that the function is continuous on the entire real line. 3sin x if x < 0…

A:

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) =…

A: we have to find the intervals on which f(x) is increasing and the intervals on which f(x) is…

Q: Find the values of a and b that make f(x) continuous for all real numbers. (x+2, f(x) = { ax³, (x² +…

A: Given that f is a continuous function, then it is continuous at all the point. So, the function is…

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: Prove that f(x)=4x-2^2x has at least one real zero in the interval [1,2] without actually solving…

A: The given data is: Prove that fx=4x-22x has at least one real zero in the interval 1,2 without…

Q: Find the constants a and b such that the function is continuous on the entire real line. 7₁ ax+b,…

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Q: Consider the function f(x) = 2/x + 2 on the interval [4, 8]. Find th function on this interval.

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Q: Find the absolute extrema of the function on the closed interval. f(x)=x3+6x2, [-6,1]

A: To Determine: Find the absolute extrema of the given function on the closed inteval.…

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

A:

Q: On which interval is f(x) = x³ – 12x + 12 decreasing? ㅇ (-8;2) ㅇ (-8, +8) | O (-2,+0) O (-2, 2) O…

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Q: Find the open intervals on which the function f(x)=x+4sqrt1-x is increasing or decreasing.

A:

Q: Find a and b so that the function = { ax + b, 8x – 8x? + 4, ах + b, х -2 is both continuous and…

A: Continuity at x=-28-23-8-22+4=a-2+b-64-32+4=-2a+b-92=-2a+b→1

Q: Find the intervals on which the function f(x) =x3+5x2-8x+1 is strictly increasing function

A: ⇒f(x)=x3+5x2-8x+1⇒f'(x)=ddx(x3)+5ddx(x2)-8ddx(x)+ddx(1)⇒f'(x)=3x2+10x-8⇒f'(x)=3x2+12x-2x-8⇒f'(x)=3x(…

Q: Find the constant a such that the function is continuous on the entire real number line. Sx³, x 2…

A: Given : f(x) = x3,x≤2ax2,x&gt;2 and the function is continuous. To find : value of a?

Q: 5. Find the absolute maxima or minima for f(x) = x² + 8x + 3 over the open interval (-o, 0).

A:

Q: 7+6z – zº x 4 тх + b,

A: Given that,    A function is continuous everywhere means the function is continuous at every point…

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.