Table of Contents

- Quiz - 8.F Functions: Define, evaluate, and compare functions: Standards: 8.F.1, 8.F.2, 8.F.3
- Quiz - 8.F Functions: Use functions to model relationships between quantities Standards: 8.F.4, 8.F.5
- 8.F.1 Define, evaluate, and compare functions: Understand that a function is a rule that assigns to each input exactly one output.
- 8.F.2 Define, evaluate, and compare functions: Compare properties of two functions each represented in a different way
- 8.F.3 Define, evaluate, and compare functions: Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line
- 8.F.4 Use functions to model relationships between quantities: Construct a function to model a linear relationship between two quantities.
- 8.F.5 Use functions to model relationships between quantities: Describe qualitatively the functional relationship between two quantities by analyzing a graph

Contents align to MA.8.CCSS.Math.Content.8.F Functions

Define, evaluate, and compare functions: Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

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Define, evaluate, and compare functions: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.

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Define, evaluate, and compare functions: 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 = 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.

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Use functions to model relationships between quantities: Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

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Use functions to model relationships between quantities: 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.

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