1. 2.1.2 – Graphing Functions

2. Recall, we defined a function as a special type of relation What makes a function a function? What 2 tests do we have to tell whether something is a function?

3. Easy to use the vertical line test when we already have the graph of the equation or relation; that won’t always happen Have to be able to graph them on our own – Need to think in terms of “input” and “output” values as we discussed yesterday

4. Types of Variables Another name for variables are the following Independent Variable = input variable; x values Dependent Variable = output variable; y values And, remember ordered pairs are expressed as (x, y) when talking of solutions or graphing

5. Tables If given a table, we will simply pull out the input and output values – x is the left to right travel on the grid – y is the up and down travel on the grid

6. Example. Graph the following relation. Then tell whether the relation is a function. X0123 y01234

7. Example. Graph the following relation. Then tell whether the relation is a function. X22222 y-3-201

8. Example. Graph the following relation. Then tell whether the relation is a function. X0123 y44444

9. Only an Equation If only given an equation, you will need to produce the values yourself Luckily, super easy Steps 1) Isolate the y-variable, if not already done 2) Choose a simple set of x values; -2 -> 2 works fine 3) Plot the points from your produced table

10. Example. Graph the following equation/relation; y = 3x - 4 X y

11. Example. Graph the following equation/relation; y = -2x + 2 X y

12. Assignment Pg. 71 27-35 odd, 36-44 even, 52-54