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Q: Suppose that the function fis defined for all real n {-10+3 f(x) = -10+x² if -4<x<4 -x+10 if x ≥4…

A:

Q: Name three functions that are continuous at every realnumber

A: The name of three functions that are continuous at every real number:

Q: Is it possible to to sketch a function that is differentiable, but not continuous at x=-3?…

A: 1)Is it possible to to sketch a function that is differentiable, but not continuous at x=-3?…

Q: Provide an example of a function which is continuous on all of R and differentiable on all of R…

A: The function is y=x+4 (shown in the figure above)

Q: Find the constant a such that the function is continuous on the entire real line. - [8x², a = ax -…

A:

Q: What can be said about the extreme values of a function that is continuous on a closed interval?

A: To Determine: What can be said about the extreme values of a function that iscontinuous on a closed…

Q: the function is continuous, is it uniformly continuous?

A: We have to define if the function is continuous, is it uniformly continuous or not

Q: "If a function is continuous at some point then it must be differentiable at that point". Do you…

A: To show whether the given statement is true or false .

Q: If f is a function that is continuous on the open interval (1, 4), then f is continuous at x = 3.…

A: Given: If f is a function that is continuous on the open interval (1,4), then f is continuous at…

Q: FX)=\X

A: Given:fx=x2-9

Q: Construct a continuous function that shows that the intervals [0,1] and [2,6] are homeomorphic

A: In the given question we have to find a continuous function from the interval [0,1] to the interval…

Q: ample 23: Show that the function f(x)=1-1-x is continuous on the interval [-1. 11.

A: A function y=f(x) is continuous in an interval [a,b] if it exists for every x∈[a,b] In other words a…

Q: Give an example of a function R -> R that is discontinuous with the usual topology but is continuous…

A: