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STANDARDS

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US-NC

Math

North Carolina Math

Math 3: Functions: Interpreting Functions

Understand the concept of a function and use function notation.

NC.M3.F-IF.1

Not covered
Extend the concept of a function by recognizing that trigonometric ratios are functions of angle measure.
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NC.M3.F-IF.2

Fully covered
Use function notation to evaluate piecewise defined functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

Interpret functions that arise in applications in terms of the context.

NC.M3.F-IF.4

Mostly covered
Interpret key features of graphs, tables, and verbal descriptions in context to describe functions that arise in applications relating two quantities to include periodicity and discontinuities.

Analyze functions using different representations.

NC.M3.F-IF.7

Partially covered
Analyze piecewise, absolute value, polynomials, exponential, rational, and trigonometric functions (sine and cosine) using different representations to show key features of the graph, by hand in simple cases and using technology for more complicated cases, including: domain and range; intercepts; intervals where the function is increasing, decreasing, positive, or negative; rate of change; relative maximums and minimums; symmetries; end behavior; period; and discontinuities.

NC.M3.F-IF.9

Fully covered
Compare key features of two functions using different representations by comparing properties of two different functions, each with a different representation (symbolically, graphically, numerically in tables, or by verbal descriptions).