How can you tell if a function is linear? 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. d) Comparing y 8 with y mx+c we see that m 0 and c 8. c) We write 4xy +13 0 in standard form as y 4x+13 and note that m 4, c 13. The line slopes downwards as we move from left to right.
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The following table shows how to represent functions using graphs, equations, verbal explanations, and tables. b) Comparing y 5 2x with y mx +c we see that m 2, so the gradient is 2. 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.I can recognize that a linear function is graphed as a straight line represented as an equation in the form y = mx + b.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 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.
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