In-Class Work Solutions for February 3rd
Part 1:
1. At which points is the function
x1
x2 x
f (x) =
x1
x>1
discontinuous? Make sure you can do the question both with a graph and
the limit calculation!
Solution:
The graph of this function looks like:
This
In-Class Work Solutions for February 8th
Part 1:
1. Using the same kind of geometric reasoning we did in class, specify what
the following quantities mean. (For example, the answer could be the
slope of the secant line connecting (2, f (2) to (3, f (3).
I
In-Class Questions for February 10th
Part 1:
1. For the f (x) in the following graph:
(a) Estimate f (0) and f (2).
Solution:
Drawing the tangent line to the curve at x = 0, we see that the
slope is approximately 1. Therefore,
f (0) 1
Similarly, drawing t
In-Class Work Solutions for February 24th
Part 1:
1. Write the following expressions as single fractions, simplifying as much as
possible. Make sure to only the rules learned in class, and state which rule
youre using at each step!
(a)
2
1
2
x
x
(x 1)
So