4. 5. 6. Objective: Describing Functions y x 2. Step a table of values. Step the ordered pairs, (x, y). Step a line through the points. Complete the table. Graph the function. 1. y x 4 Linear: y mx b A function is linear if: y 4 3x y 4 the graph is a line, and • y 5x y 5x 0 the equation can be written in the form y mx b. • Proportional: y 5x A linear function is proportional if its graph passes 0 5(0) through the origin, (0, 0). Not proportional: y 4 3x 0 4 3(0) If the graph is not a line, then the function is nonlinear. Describe each function. Write linear, proportional, or nonlinear. 2. 5 4.
4. 5. 6. Objective: Describing Functions y x 2. Step a table of values. Step the ordered pairs, (x, y). Step a line through the points. Complete the table. Graph the function. 1. y x 4 A function is linear if: • the graph is a line, and • the equation can be written in the form y mx b. A linear function is proportional if its graph passes through the origin, (0, 0). If the graph is not a line, then the function is nonlinear. Linear: y mx b y 4 3x y 4 y 5x y 5x 0 Proportional: y 5x 0 5(0) Not proportional: y 4 3x 0 4 3(0) Describe each function. Write linear, proportional, or nonlinear. 2. 5 4.