Problem

Explain why or why not Determine whether the following statements are true and give an exp...

Explain why or why not Determine whether the following statements are true and give an explanation or counter example.

a. For linear functions, the slope of any secant line alwas equls to the slope of any tangent line.


b. the slope of the secant line passing through the points Pand Q is less than the slope of the tangent line at p.


c. consider the graph of the parabola f(x) = x2. For x > 0 and h > 0, the secant line through (x, f(x)) and(x + h, f(x + h)) alwas has greater slope than the tangent line (x, f ( x)).


d. if the function f is deffirentiable for all valus of x, than f is continuous for all valus of x.

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