Title: Secant Lines and Tangent Lines PostVideo Questions
Course: Calculus I

Q: Suppose f'(a)< [Image: equation] for [Image: equation]>0. Which of the following could be the graph of f?
[Image: image]
- I only (Incorrect)
- II only (Incorrect)
- II and III only (Correct)
- I and IV only (Incorrect)
- III and IV only (Incorrect)
A: II and III only

Q: The slope of the line tangent to the graph of y=f(x) at the input value x=5 is shown in the graph below. The slope of this tangent line is 0.712. [Image: image]
What does it mean to say that "the slope of this tangent line is 0.712?
- The value of f(x) changes by 0.172 (Incorrect)
- The value of f(x) changes by 0.172 times 5 (Incorrect)
- The value of f(x) changes by 0.172 divided by 5 (Incorrect)
- The value of f(x) changes by 0.172 times dx (Correct)
- The value of f(x) changes by 0.172 divided by dx (Incorrect)
A: The value of f(x) changes by 0.172 times dx