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

Q: f(x) = 2ax - bx² + 2ax – b %3D

A: fx=2ax3-bx2+2ax-b Now, simplify the above function, fx=x22ax-b+2ax-b=2ax-bx2+1

Q: Evaluate  f(−7), f(0), and f(3)  for the piecewise defined function. f(x) =    x + 2     if x < 0…

A:

Q: Solve the following equation to determine if f (x) is continuous given the function: f (x) = 6x+7…

A:

Q: Let X={1, 2, …, 16} and define function f(x)=rx for all x€X where rx is the remainder when 3x is…

A:

Q: (x) = (3x + 1)²; (0, 1) (a) Find an equation of the tangent line to the graph of the function at the…

A:

Q: Determine the end behavior of the following function as x → +∞: 4x4 + 8x – 1 s(x) = -9x4 – 7x2 7x…

A: Topic- Function

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

A:

Q: ne volu 1 πx³. Do the following: B on with radius x IS V X Express the volume V of the balloon as a…

A: Topic:- Algebra

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

A: To find the value of f(x) at the given points we plug the value in the piecewise defined function.

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

A:

Q: B. Determine the function which coincides with f(x) for all values with the exception x = 5. (x² -…

A:

Q: Determine whether the following function is continuous at the given point z- 3z+ 14z -5 f(2) 3z -1…

A: A function fx is continuous at x=a if limx→a-f(x) = limx→a+f(x) = f(a)  Given: fx=3x2+14x-53x-1…

Q: Determine whether the following function is continuous at the given point z =: 3x2 + 14x – 5 1 3…

A: Given. The function fx=3x2+14x-53x-1  x≠13163x=13 We have to check the continuity of the function at…