?-t-20 f(t)= 12+7t+10 is piecewize continuous on [0,10]. True O False

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: Define g(-5) in a way that extends g(x) = x² - 25 x + 7x + 10 to be continuous at x = -5.

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

A: Given function:- fx=x2-4x-2if x<2ax2-bx+3if 2≤x<34x-a+bif x≥3

Q: Justify that 12-21-3 if x + 3, f(x) = 4 I-3 if x = 3

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Q: Find number k so that f(z) = 10x + 8 x -1 is continuous on (-0,0). O -2 4 -4

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Q: Find the values of a and b that make f continuous everywhere. x² - 4 if x < 2 f(x) = x-2 ax² if 2 ≤…

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Q: . Find the constants a and b such that the function 6, x 5-1 f(x)= ax+b,-13 is continuous on the…

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Q: Zx? +5x-75 Let fl)- X-5 a that f hgs a femovable disqontinutyy at 5 d delermine the value for HS)…

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Q: Decide if f(x) is uniformly continuous on the interval. Explain

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Q: 5 - x, -1sxS 2 r² – 1, 2<x < 3 Discuss the continuity of g(x)

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Q: Ax -4, xs2 Bx, Br+2A, 3sx 42. Find A and B so that the function f(x) 2 < x < 3 is continuous…

A: First we check Left and right hand limit at the first interval, i.e. x=2

Q: f(x)=x+10x+25 x+5 3 O True is continuous at x = -5 O False

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Q: uestion 6: Suppose f: N N has the rule f(n) = 3n²-1. Determine whether f is 1-1.

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