(2) Determine if each function is continuous at the given value of a. Justify your answers using limits and the definition of continuity. If any functions are NOT continuous at a, determine which properties of continuity are satisfied and which properties fail. x2 4x +3 if x + 3 (b) g(x) = x – 3 at a = 3. if x = 3

Q: B) Test the functions continuity at the given poihts: (x²-x-6 1) f(x) 3D x * 3 ,at x 3, x 5 X-3 x =…

A: f(x)=x2-x-6x-3x≠35x=3

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Q: 3. J Use the definition of continuity and the properties of limits to show that the function is…

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Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

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Q: { -2x + 3 x 1

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Q: Q3/ A) Decide if the following function is continuous using limits. x1. 2x g(x)= 3

A:

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A: To check for the continuity of the function fx=x2+2xx≤14-x1&lt;x&lt;3x-3x≥3

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Q: The function f(x) = (x² - 4)/(x-2) is continuous at x = 2. Select one: O True False The function…

A: Continuity of function

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Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A: Given the function,fx=x2+2xx≤14-x1&lt;x&lt;3x-3x≥3

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x²+2x x≤1…

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A: Let's find.

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Q: If f and g are continuous functions with f(5) = 2 and, lim[2f(z) - g(x)] =5 I5 find g(5)

A: Given: - f and g are continuous functions with f(5)=2 and limx→52f(x)-g(x)=5 We have to find g(5)=?

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Q: 3 b) Find values of x, if any, at which f is not continuous:f(x) =+2

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Q: Q12: Discuss the continuity of function f(x) at x-3 x²-9 if x # 3 6 if x = 3 F(x) = {x-3 %3D

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Q: D. Discuss the continuity of the function on the closed interval. Function Interval 1. g(x) V49 [-7,…

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.