How can you tell if a function is linear? Move to Origin: O: O: Move to Previous Curve: ALT + UP ARROW: OPTION + UP ARROW: Move to Next Curve: ALT + DOWN ARROW: OPTION + DOWN ARROW: Hear Graph: H: H: Hear Only Branch 1 through 10: 1 - 0: 1 - 0: Adjust Playback Speed (1 slowest, 5 fastest) ALT + 1 - 5: OPTION + 1 - 5: Increase Volume: V: V: Decrease Volume: SHIFT + V: SHIFT + V. Interpret the equation y = mx + b as defining a linear function (Common Core 8.F.3) Scroll down the page for more examples and solutions.
ORIGIN GRAPHING FOR MX UF HOW TO
The following table shows how to represent functions using graphs, equations, verbal explanations, and tables. I can compare the characteristics of linear and nonlinear functions using various representations.
I can provide examples of nonlinear functions using multiple representations (tables, graphs, and equations).I can recognize the equation y = mx + b is the equation of a function whose graph is a straight line where m is the slope and b is the y-intercept.Theslopeandinterceptofastraightline In the equation y mx+c the value of m is called the slope, (or gradient), of the line. For example, y 3x+5, y 2 3 x+8 and y 3x 7 all have graphs which are straight lines. constants), has a graph which is a straight line. I can recognize that a linear function is graphed as a straight line represented as an equation in the form y = mx + b. y mx+c where m and c are xed numbers, (i.e.For example, the function A = s 2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.Ĭommon Core: 8.F.3 Suggested Learning Targets