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Identify Linear and Non Linear Functions WORKSHEET
Suitable for Grades: 8th Grade
CCSS: 8.F.A.3, 8.F.B.5
CCSS Description: Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s2 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.
Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.
Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.
Identify Linear and Non Linear Functions WORKSHEET DESCRIPTION
Throughout this worksheet, learners will determine whether functions are linear or nonlinear. In Section A, students will decide whether 9 graphs are linear or not. In Section B students are given 9 equations. Lastly, Section C introduces tables of values where students will analyze how changes in x affect y to determine if the relationship is linear.
Nonlinear functions include quadratics, cubics, exponential and reciprocal.
See our worksheet “Recognising Cubics, Quadratics, Reciprocals and Straight Line Graphs” for more on this topic.
