x2 – 3x – 2 if x <-1 x – 1 x + 3 x2 – 4x +7 if -14 f(x) = V2x + 1

Q: Show that f(x) = x² + 12x +41 -2 -x² 12x - 31 ifa >-6 2 if x < -6 if x = -6 has a removable…

A: The given function,The aim is to prove the function has a removable discontinuous at  and redefine…

Q: If f(x) = g(x) for x # c and f(c) # g(c) then either f or g is not continuous at c.

A: Continuous Function:In mathematics, a continuous function means that a continuous change in the…

Q: s] B1(a): Find the value of k that makes function continuous at x = 4 x > 4 6x – k x < 4 3x + 6 f(x)…

A: The given function is fx=3x+6if x&gt;46x-kif x≤4. Assume that the above function is continuous at…

Q: A function f(x) is continuous on the real numbers and has the following features about the point x =…

A: This question is related to Functions, we will solve it using given information.

Q: 4. Use limits to determine the values of a and b that guarantee the function below is continuous.…

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Q: (x+2;x > 2 Determine if the following f(x)= 4 x = 2 is continuous or not. If not, state the x x <2…

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Q: 4. Find the value of the constant b for which f is continuous at a = - -1 and determine f(-1). 5 x <…

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Q: 14. Determine the points at which f is discontinuous. Identify the type of each discontinuity as…

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Q: x2 – 3x – 2 if x 4 f (x) = - (2x + 1

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Q: 3. A function h(x ) is defined by: ax +2 ,x <2 h(x)={4 ,2<x < 4 bx? „x 24 Determine the values of…

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Q: (x+1 Q. #7 For the function g(x) = 3 if x 2 constant "b" that makes g(x) continuous at x=2 Final…

A: g(x) is continuous    here we find value of b by using condition of continuous function

Q: determine which statement is true

A: Follow the procedure given below.

Q: 7. (a) List the condition(s) for a function to f(x) be continuous at the point x = c. (b) For the…

A: 7. The given function gx=2x+a+x+3x+2x&gt;-2x+4+bx≤-2. We have to find the values of a and b, such…

Q: Let f be continuous over [a,b] and differentiable over (a,b). Then there exists at least one point…

A: Let f be continuous over a,b and differentiable over a,b. Then there exits at leastone point c∈a,b…

Q: Find the value of the constant c that makes the following function continuous on (-∞, ∞). x² { x = 1…

A: The given function is If function continuous at

Q: x < 2 2 < x < 5 at x = 2 and 5. x 2 5 4х, 2. Classify the discontinuity of f (x) = } x + 6, x² – 1,…

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Q: 4. Sketch the graph of an example function f on domain [0, 10] with jump discontinuities at x = 3…

A: Let f be a function with domain [0, 10] having jump discontinuities at x = 3 (right continuous), x =…