Find the numbers at which g is not continuous. Justify using the definition of continuity. x+2 if x ≤ 0 g(x)= e if 0≤x≤1 2-xif x>1

Q: 15. Discuss the continuity of the function f (x) = x²-4. x-2

A: To find the continuity of function we need to find the domain of function

Q: Sketch the graph off. At each point of discontinuity, state whether f is left- or right-continuous.

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Q: Determine the values of a where the function f (x) is not continuous. Label each discontinuity as…

A: Given function is continous for all real values of x.  As per given instructions,  Enter NA in both…

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Q: Find the values of x for which the function is continuous. (Enter your answer using interval…

A: The function is given as fx=4-x      if x<3 2x-5    if x≥3 find values of x for which the…

Q: Which of the following functions are continuous for all x-values" (Select all that apply.) Function…

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Q: Find the values of c and d that make the function continuous. C = d= f(x) = 6x cx²+d 7x if x 2

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Q: 3. State where the function below is continuous using interval notation. if x<2 4 f(x) = 3 if x 2

A: To check whether the given function is continuous using interval notation.…

Q: Find the values of a and b that make f continuous everywhere. 1 -- f(x) = x² - 4 X-2 ax² - bx + 3…

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Q: Find the values of m and n such that the function f defined by is continuous. m = Number n= Number…

A: We have to find out

Q: Find the value of the constant a that makes the following function continuous on (-∞, ∞). 5x³ + 5x²…

A: We need to find a value that makes the function continuous.

Q: Find the value of b such that the function f is continuous everywhere. ƒ(x) = b |5-x| x² - 7x + 10…

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Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

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