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Mathematical Expression Editor

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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 onlyII onlyI and III onlyII and III onlyIII and IV only