Determine whether the following function is continuous at the given point x = 3x2 + 14x – 5 1 | f(x) = За — 1 16 | 3 31/3

Q: Determine the discontinuities of the following functions and state why the function fails to be…

A: f(x)=x3+x2-17x+15x2+2x-15function is undefine when x2+2x-15 is become 0Let…

Q: if x < - 4 - Let f(x) = x² + 3x 8 if x ≥ - 4 - If f(x) is a function which is continuous everywhere,…

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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: Determine the interval (s) where the following function is continuous x-7 f(x)= (x-7)x+4)

A: In the given function (x-7) is a common factor in numerator and denominator. So, it will cancel out…

Q: Is there a function that is both even and odd?

A: Yes, f(x)=0 is both even and odd.

Q: f(x) = 5 – 5æ + 7x². Then state the domain of the function and the domain of the derivative. Note:…

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Q: If a function f is continuous for all real numbers and if х2 + 2х- ах —2а f(x) = when x a, then f…

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Q: Determine whether the following function is continuous at the given point x = 6: x2 8x + 12 - x + 6…

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Q: Consider the following function and closed interval. g(x) = (x² – 9)²/3, [-5, 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: 4x f (x)=- x2 +4 %3D

A: f(x)=-4xx2+4

Q: Sketch the graph of the following piecewise defined function. Label three points on each piece and…

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Q: The domain of the function За + 5у is 2? + у? — 4 f(x, y) - >

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Q: State if the following functions is Even, Odd, or neither. Show some form of work or explanation for…

A: Given,  fx = x2                0 &lt; x &lt; 2 We have to find whether this function is odd, even or…

Q: Find the value(s) of a and b for which f is continuous at -2: 3x³ - 7x² + 7 if x -2 f(x)

A: To find the values of a and b for which f is continuous at -2.fx=3x3-7x2+7 if x&lt;-2a+b if…

Q: x + 20 g(x) = { 3Cx + K if – 2 < x За — 2K if x < -2 | if 1 < x -

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Is the following function continuous at x = 2? Explain why or why not. x2 +x – 6 - :x > 2 f(x) = x –…

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Q: Identify the real number at which it is not continuous of the given function

A: To find: The real number where the function is not continuous. Given: The function is fx=xx2-4x+4.…

Q: Find the endings for the following functions zX-5 3 @ lim - V-X-2 X -3 X +3 a lim 2- x* 1.

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Q: x -1 f (x): x² +3x %3D

A: If two functions f,g are continuous then the function f+g,f-g,fg are also continuous. The function…

Q: f (x) = x + 2x³ – x² – 2 %3D

A: Given: Determine if the given function is continuous at every real number f(x)=x4+2x3-x2-2

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: Let f be defined as follows: x²-9 f(x) = x-3 k if x # 3 if x = 3 What value of k would make the…

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Q: Consider the following piecewise function: Find the values of the constants C and K that will make…

A: We have to find value of C &amp; K