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.

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

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?

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)?

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

Ex 5: Graph the piece-wise function:

Ex 6: Graph the absolute value function:

Ex 7: Graph the step function:

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 451.9 minutes and 480.5 minutes.

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

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.

Assignment S 3.2: pg 233-236 #6,8,11,12,24,32,33,39,42,53,62,64,82,87