1. R Functions in one variable can be represented by a graph. R Each ordered pair (x, f(x)) that makes the equation true is a point on the graph. R Graph function by plotting points and then connecting the points with smooth curves. 3.2 Graphs of Functions

2. Linear Function x y Find two points: 4 -8 -4 2 y =5.5x - 7

3. Nonlinear Example x y Create a table of points: x -3 -2 0 1 6 1 -6

4. Basic Functions - Linear f(x) = mx +b x f(x) x

5. Basic Functions - Power f(x) = x f(x) x

6. Basic Functions - Root f(x) = x f(x) x

7. Basic Functions - Reciprocal f(x) = x f(x) x

8. Basic Function - Absolute Value x f(x) f(x) =

9. Vertical Line Test Determine if an equation is a function of x: Draw a vertical line anywhere and cross the graph at most once, then it is a function. y= x f(x) x

10. Piecewise Function Graph -3

11. Domain/Range from Graph Look at graph to determine domain(inputs) and range (outputs). x f(x) Domain: Range: 2 2 -24