| For what value of a is Sx² – 1, x< 3 |2ax, f(x) = continuous at every x?

Q: Continuous Functions -3z+-4 I<-1 f(#) = Az+ B -1< a < 3 -1a +3 Determine the values of A and B that…

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Q: On what domain is the function f(x) = 3 + V5x – 20 continuous?

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Q: Verify the Mean value Theorem for the function f(x) = 2x2 - 8z +6 on [1, 3]

A: f(x)=2x2-8x+6  on [1,3] conditions of mean value theorem: i) f(x) is continuous at (a,b) ii) f(x) is…

Q: x+5 4. f(x) = %3D x2-5x+4

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Q: Find constants a and b such that the function 3– bx, if x>-2 f(x)=- -1, if x=-2 ax – bx, if x<-2 |…

A: Given query is to find the value of a and b.

Q: At what points is the function is continuous y=|2x-1| +4sin(2x)

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Q: I. Is the function given by g(x)=x²-3x + 2 continuous over the interval (-4, 4)? Why or why not?

A: Function given is- g(x)=x2-3x+2 continuous over the interval (-4,4) . Wee need to determine whether…

Q: The function f (x) = 3x² –4x-3 is continuous everywhere.

A: Given,             f(x)=3x2-4x-3

Q: Find the values of a and b that make f continuous everywhere. b = f(x): x-2 ax² - 6x + 3 4x -a + b…

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Q: Show that f(x) = 2a + 3b is continuous, where a and b are constants

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Q: lim 3i 4 +

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Q: For what value of a is x² -1, x< 3 f(x) 2ax, x2 3 continuous at every x?

A: Given function is Since, f(x) is continuous at every x, so f(x) is continuous at x=3.

Q: A/ Derive by definition: y = Vx - 3 ? B/ Determine the value of (z) and (k) that makes the function…

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Q: Since f(x) is continuous between a and b, the function needs to cross the x-axis. O TRUE O FALSE O…

A: Given fx is continuous between a and b

Q: Let f :[-2,6] R be the function given by * if - 2sx<0 if 0sx< 2 4 -x if 2 sxs6. f(x) = 2.x For each…

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