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STANDARDS

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US-SC

Math

South Carolina Math

Pre-Calculus: Interpreting Functions

PC.FIF.4

Partially covered
Interpret key features of a function that models the relationship between two quantities when given in graphical or tabular form. Sketch the graph of a function from a verbal description showing key features. Key features include intercepts; intervals where the function is increasing, decreasing, constant, positive, or negative; relative maximums and minimums; symmetries; end behavior and periodicity.

PC.FIF.5

Mostly covered
Relate the domain and range of a function to its graph and, where applicable, to the quantitative relationship it describes.

PC.FIF.6

Fully covered
Given a function in graphical, symbolic, or tabular form, determine the average rate of change of the function over a specified interval. Interpret the meaning of the average rate of change in a given context.
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PC.FIF.7

Graph functions from their symbolic representations. Indicate key features including intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior and periodicity. Graph simple cases by hand and use technology for complicated cases. (Note: PC.FIF.7a – d are not Graduation Standards.)

PC.FIF.7a

Fully covered
Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available and showing end behavior.

PC.FIF.7b

Fully covered
Graph radical functions over their domain show end behavior.

PC.FIF.7c

Mostly covered
Graph exponential and logarithmic functions, showing intercepts and end behavior.

PC.FIF.7d

Not covered
Graph trigonometric functions, showing period, midline, and amplitude.
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