30 Chapter 4 Differentiation example of a function that fails to satisfy a Lipschitz condition at a point of continuity. If f is differentiable at .x. prove that f satisfies a Lipschitz condition at .x. 1:CC iskla on (ah)

Function g: R → R, defined by g(x) = x" +5 is a one-to-one function. O True O False QUESTION 8 Please show work for question 7 on paper, and then upload the image here.

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Which of the following is true? O If the function is continuous at x = c then you can use the tangent line approximation at x = c. O The function does not need to be differentiable at x = c to use the tangent line approximation at x = c. O The function needs to be differentiable near x = c, to use the tangent line approximation at x = c.