1. Graphs of Functions
Def: A graph of a function f is the set of ordered pairs {(x,f(x)|x  A}.
A linear function is a function of the form
f(x) = mx + b.
A constant function is a function of the form
f(x) = b where b is a given number.

2. Ex 1: Sketch the following functions using a
T-chart.

3. Ex 2:
a. Graph f(x) = xn for n = 1,3,5.
b. Graph f(x) = xn for n = 2,4,6.
c. What conclusions can we draw?

4. Ex 3: The function T, graphed below, gives the
Ex 3: The function T, graphed below, gives the temperature between noon and 6pm at a certain weather station.
a. Estimate T(1), T(3), T(5).
b. Which is larger, T(2) or T(4)?

5. Ex 4: Graph
b. Find the domain and range.

6. Ex 5: Graph the piece-wise function:

7. Ex 6: Graph the absolute value function:

8. Ex 7: Graph the step function:

9. Ex 8: A cell phone company charges $39. 99 for
Ex 8: A cell phone company charges $39.99 for 450 minutes of calling and $0.45 for each additional minute. Describe this situation with a function, then find the charge for minutes and minutes.

10. Vertical Line Test
A curve in the coordinate plane is the graph of a function if and only if no vertical line will intersect the curve more than once.
Are these graphs functions?
Not a
function
Function
Function
Not a
function

11. Ex 10: Is y defined as a function of x?
Not a
function
Function
There is a summary of many of our basic graphs on page 232 in your textbook.

12. Assignment S 3.2:
pg #6,8,11,12,24,32,33,39,42,53,62,64,82,87