1 . What is the domain of f(x)= ex ? What is the domain of f(x)? What is the range of f(x)? What are the domain and range of f'(x)? 2. Consider the graph of the function f(x) below. What is the value of the lim x >3 ? What is sad. -7 X f(3)? Is this function continuous at x=3? Why or why not? 3. Is the function f(x) 1/x continuous on [0, 3]? Justify your answer. 4. Sketch the graph of y = - x2 +5 starting with the graph of y x2 and progressing step by step with a graph obtained by stretching, shifting, and reflecting as necessary. Justify each step. 5. Write an equation for a graph obtained by vertically stretching the graph of y = x by a factor of 3 followed by a vertical upward shift of 2 units. 6. Simplify as much as possible: In(3e ) 7 . For each of the following, evaluate the limit, if it exists. Justify your work. (6, 7 points) lim X +3 x- 4 V/+x - 1 x 70 X 71 X - 1 X