Please answer each of these questions to the best of your ability. You are welcome to re-watch parts of any of the videos to help you.

The slope of the line tangent to the graph of at the input value is shown in the graph below. The slope of this tangent line is .

Which of the following statements most accurately conveys what happens to the value of as the value of varies by an infinitesimal amount away from ?

The value of changes by . The value of changes by times . The value of changes by divided by . The value of changes by times . The value of changes by divided by .
Suppose for . Which of the following could be the graph of ?
I only II only I and III only II and III only III and IV only