а. Determine the discontinuities of the following functions and state why the function fails to be continuous at those points. i)F(x) = x2 -10x+2 ii) F(x) = x3-x2-1

Q: (a) x(x – 3)*

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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

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Q: When a function is discontinuous at x=2, does that necessarily mean that 2 is not in the domain of…

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Q: Determine the values of x for which f(x) is discontinuous.

A: For x<=3, f(x)=3x-12 is continuous

Q: 6. Determine all values of x at which the function is discontinuous. x2- 2x +5 f(x) = x2-4x 0, 4 O…

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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…

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Q: X-2 f(x)3D x2+x-30

A: In the given question a function is given and we have to find point of discontinuity of the…

Q: Use the piecewise-defined function to find the following values for f(x). 1- 4x if xs - 2 f(x) = 4x…

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Q: уто ņx=-5 O SONGS & + 10 9 7 6 5 4 012345 -10-9-8-7 -6 -5 -4 -3 -2 -10 -2 -4 1) lim f(x) = x-(-4)…

A: Sol:- We have to explain what is telling by limits and the points for which f(x) is not…

Q: 5. Differentiate each of the following functions: a) (x+1)³(x-2)4 b) In x+1

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Q: Determine where the following function is continuous. х-5 M(x) = 4x2 - 9

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Q: 2. Evaluate the piecewise defined function at the indicated values. x2 + 4x if x s -3 Ax) = {x if -3…

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Q: Where does the original function f(x) increases and decreased

A: f'(x) = +ve→f(x) will be increasing in this range.f'(x) = -ve→f(x) will be decreasing in this…

Q: f(x) = x+1 x-3

A: Given:  fx=x+1x-3To prove: f(x) is 1-1 we know that, If f(x1) = f(x2) then x1 = x2 therefore f(x) is…

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Q: 3. Determine the monotonicity of the following function: f(x) = -x3 – 3x + 6

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Q: 3 %3D 2. Complete the table to describe all the end behaviours of the function f(x) = (x+2)2 As x -…

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Q: 4. List the zero(s) of the following function: zero(s):

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Q: Evaluate the piecewise function at the given value of the independent variable. f(x) = [x - 1 ={x -…

A: NOTE: Refresh your page if you can't see any equations. . here we want to find the value of f(-5)…

Q: 4. Determine whether the following functions are one-to-one: a) f (x) = "+1 for all real numbers x +…

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Q: 5. Find the domain of the function: y = In () x-4

A: y=lnx-1x-4