The Difference Quotient and Piecewise
Functions
Find the Difference Quotient for each of the following functions. (Find
the Difference Quotient and simplify.)
first, then plug that into
1.
2.
3.
4.
5.
Evaluate the functions at the given values.
For problems 6 and 7, let
6. What is the domain of this piecewise function?
7. Evaluate:
a.
b.
c.
d.
e.
For problems 8, 9, and 10, let
be defined by the piecewise graph given below.
8. What is the domain of this function?
9. Evaluate:
a.
b.
c.
10. The equation for the parabola on the left side is:
The equation for the parabola on the right side is:
Write the equation for this piecewise function. i.e. Put it in the curly brackets and figure out
what the cut-offs are, just like the function for problems 6 and 7 is written.