Chapter 3.1, Problem 47E

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

  a    Far linear functions, the slope of any secant line always equals the slope of any tangent line

  b.    The slope of the secant line passing through the paints P and Q is less than the slope of the tangent line at P.

  c.    Consider the graph of the parabola $f\left(x\right)=x^2$. For a > 0 and h > 0, the secant line through (e, f(a)) and (a + h, f(a + h)) always has a greater slope than the tangent line at (a, f(a)).