Overview
Discuss how to find answers to each of the exercises - 1) Pick a date that is important to you. Let a = the number representing the month and b = the number representing the day. (For example, Valentine's Day 2/14 would be a = 2, b = 14.) a) Using your specific values of a and b, find an expression for the function whose graph is the entire line passing through (-a, b) and (a, -b). b) Using your specific values of a and b, find an expression for the function whose graph is just the line segment joining (-a, b) and (a, -b). 2) a) On three separate sets of axes, sketch the graphs of three different lines that pass through the point (2, 7). b) For each of the lines in part a), label two additional points on the graph. c) Write linear functions (using function notation f(x) ) corresponding to each of the graphs. 3) Use the table to find each of the following values:
| x | 1 | 2 | 3 | 4 | 5 | 6 |
| f(x) | 6 | 4 | 2 | 5 | 3 | 1 |
| g(x) | 4 | 3 | 5 | 6 | 1 | 8 |
a) (g o f)(4) = ? c) (f o f)(5) = ?
b) (f o g)(6) = ? d) (g o g)(1) = ?