## Dr. Wilson

1. The population of a town was 20,000 in 1970, and 40,000 in 2000. Let x denote the number of years from 1970, and let y denote the population. Find a linear equation which predicts these population figures. Use this equation to predict the population in 2010.

2. In Problem 1, find an exponential function which predicts the figures. Use this exponential function to predict the population in 2010.

3. Graph y = x2 + 2x - 3. Find

• the y-intercept
• the roots
• the coordinates of the vertex

4. Solve x2 + 2x - 3 > 0

5. Let f(x) = 2x + 3, g(x) = x2 + 2x. Find fog(x) and gof(x).

6. Let

find f-1(x).

7. Expand

8. Express as a single log

2ln a + 3ln b - ln c

9. Solve for x and check:

log12x + log12(x + 1) = 1

10. Graph

Find

• the y-intercept
• the roots
• the vertical asymptotes
• any horizontal asymptotes
• (extra credit: the vertices)

11. This is the graph of y = f(x).

Match the following functions with their graphs.

a) f(x + 2), b) f(x - 2), c) f(x) + 2, d) f(x) - 2, e) f(2x), f) f(x/2), g) 2f(x), h) f(x)/2