Which among the choices is not true about the continuity of f(x)? f(x) == O lim = +00 O f(4) is undefined O There is an infinite discontinuity at x = 4 O lim, f(2)= +00

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

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Q: How is a function’s differentiability at a point related to its continuity there, if at all?

A: If a function is differentiable at any point there it has to be continuous. For example: y= x^2 has…

Q: is continuous or discontinuous at x = -4 using the three step continuit x + 6 x -4

A: We have to check continuity  of function

Q: Determine whether f(x) = approaches o or - as x approaches - 5 from the left and from the x² - 25…

A: Given that f(x) = x8 / (x2 - 25) = x8 / (x + 5)(x - 5) . Other than x = +5, -5 f(x) is defined…

Q: -4+x, x)= {=-x if x 2 3 if x 3 Evaluate the following expressions. lim f(x) = x-3 lim f(x) = x-3+…

A: f(x)=-4+x,    if x<3   2-x,    if x⩾3 now I am attaching image so that you can easily understand…

Q: Suppose f(x) has a removable discontinuity at x=10. How do we redefine the function to make it…

A: This question can be solved using the concept of limit and continuity.

Q: 1.2. For the following functions 1.2.1 (a) Find the domain. x + 13 1- x2 + 4x + 3 f(x) = (b) Discuss…

A: Domain set of all input values where function defined

Q: Consider the function f(a) 11r-24 102²16 3-102²

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Q: if -6sxs -2 Complete the following for f(x) =. x+3 if -2<xs6 (a) Determine the domain off. (b)…

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Q: f(2) = 4 and f(3) = 3. With this information, can you determine whether there exists a real number c…

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Q: Suppose that f(x) is a continuous function with f( – 1) = - 8 and f(3) = 8. Determine which choice…

A: Always true

Q: The piecwise function g(x) is defined by x + 2 when x 1. What type of discontinuites are present in…

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Q: Suppose that f(x) is a function with f( – 1) = – 9 and f(3) = 9. Determine which choice best…

A: given: we have a function f(x) such that f(-1)=-9 and f(3)=9. the given statement is: ''f(x)=0 for…

Q: Shown below are six statements about functions. Match each statement to one of the functions shown…

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Q: Suppose that f(x) is a continuous function with f(1) = - 6 and f(5) = 6. Determine which choice best…

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Q: x²x2 x - 3 ax + b -3 < x < 4 x³ + 4x x ≥ 4 Determine the values of the constants a and b that make…

A: The given function is,The function should be continuous so we can write,

Q: Sketch a graph of a function that satisfies all of the following properties. -4- a) f(-6) is…

A: We need to sketch the graph.