MA19.A2.20

Mathematics (2019) Grade(s): 09-12 - Algebra II with Statistics

MA19.A2.20

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. Extend to polynomial, trigonometric (sine and cosine), logarithmic, reciprocal, radical, and general piecewise functions.

Unpacked Content

Knowledge

Techniques for graphing.

  • Key features of graphs of functions.

    • Skills

    Students are able to:

    • Identify the type of function from the symbolic representation.
    • Manipulate expressions to reveal important features for identification in the function.
    • Accurately graph any relationship.
    • Find the inverse of a function algebraically and/or graphically.

    Understanding

    Students understand that:

    • Key features are different depending on the function.
    • Identifying key features of functions aid in graphing and interpreting the function.
    • A function and its inverse are reflections over the line y = x.

    Vocabulary

    • Polynomial function
    • Logarithmic function Trigonometric (sine and cosine) function
    • Reciprocal function
    • Radical function
    • Period
    • Midline
    • Amplitude
    • End Behavior
    • Intervals
    • Maximum
    • Minimum
    • Horizontal Asymptote
    • Vertical Asymptote
    • Inverse functions
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