Calc 1, Homework 3 Problems

Homework 3 Question 1

Based on the following figure, answer each question in the box below:

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Homework 3 Question 2

Suppose for some function and . Answer the following in the box below:

  1. If , what, if anything, is known about ?
  2. If , what, if anything, is known about and ?
  3. If , What if anything is known about and ?
  4. If is undefined, What if anything is known about and ?
  5. If , what, if anything, is known about ?

Homework 3, Question 3

In the Applet below, L is the secant line defined by the points and . The slope of the secant line, is defined as usual. . Observe and record the slope of the secant line, , when Based on the results make a conjecture for . Also make a conjecture for the slope of the tangent line of at .

Homework 3 Question ??

Using only the graph below, determine the following limits, if they exist:

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