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STANDARDS

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US-SC

Math

South Carolina Math

Foundations in Algebra: Interpreting Functions

FA.FIF.1

Extend previous knowledge of a function to apply to general behavior and features of a function.

FA.FIF.1a

Fully covered
Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range.

FA.FIF.1b

Fully covered
Represent a function using function notation and explain that f(x) denotes the output of function f that corresponds to the input x.

FA.FIF.1c

Fully covered
Understand that the graph of a function labeled as f is the set of all ordered pairs (x,y) that satisfy the equation y=f(x).

FA.FIF.2

Fully covered
Evaluate functions and interpret the meaning of expressions involving function notation from a mathematical perspective and in terms of the context when the function describes a real-world situation.

FA.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. (Limit to linear; quadratic; exponential.)

FA.FIF.5

Mostly covered
Relate the domain and range of a function to its graph and, where applicable, to the quantitative relationship it describes. (Limit to linear; quadratic; exponential.)

FA.FIF.7

Partially covered
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. (Limit to linear; quadratic; exponential only in the form y=a^x+k.)

FA.FIF.8

Translate between different but equivalent forms of a function equation to reveal and explain different properties of the function. (Limit to linear; quadratic; exponential.) (Note: FA.FIF.8a is not a Graduation Standard.)

FA.FIF.8a

Fully covered
Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.

FA.FIF.9

Fully covered
Compare properties of two functions given in different representations such as algebraic, graphical, tabular, or verbal. (Limit to linear; quadratic; exponential.)