Problem Set - Increading, Decreasing and Concave Functions

## Problem Set - Increading, Decreasing and Concave Functions

 What does it mean for a function $f\left(x\right)$ to be continuous at $x=a$? Explain how to test if a function is continuous at $x=a$. What does it mean for a function $f\left(x\right)$ to be differentiable at $x=a$? Explain how to test if a function is differentiable at $x=a$. What does ${\left(df/dx\right)|}_{x=a}$ indicate about the graph of $y=f\left(x\right)$? Explain why this is true.