 
Summary: Math 3A: Review Sheet
1. Review all previous homework assignments.
2. Below is the graph of a function f(x).
Which one is the graph of f (x)?
3. Using the limit definition of the derivative, find the derivatives of the following functions:
f(x) = 3x2
, g(x) =
2x + 1, h(x) = 5x + 3, p(x) = 7.
4. Starting with the graph of f(x) = sin(x), write the equation of the graph that results from first shifting
f(x) 2 units upward, then shifting 4 units to the left, and finally reflecting about the xaxis
5. Find a formula for the inverses of the following functions:
f(x) =
4x  1
2x + 3
, g(x) =
10  2x, h(x) = ex2
, p(x) = ln(x + 10).
6. Evaluate the following limits (if they exist):
