Math - 2018-19
MA.1 - Polynomial and Rational Functions
MA.1 The student will investigate and identify the properties of polynomial, rational, piecewise, and step functions and sketch the graphs of the functions.
UNDERSTANDING THE STANDARD
· The graph of polynomial, rational, piecewise, and step functions can be determined by exploring properties of the functions.· A variety of notations should be used, including set notation and interval notation.
The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to
· MA.11 Identify a polynomial, rational, piecewise, and step function, given an equation or graph.
MA.12 Given a graph or equation of a polynomial,
rational, piecewise, or step function, identify:
domain and range;
asymptotes (horizontal, vertical, and oblique/slant);
points of discontinuity;
intervals for which the function is increasing, decreasing or constant;
end behavior; and
relative and/or absolute maximum and minimum points.
the graph of a polynomial, rational, piecewise, or step function.
and verify characteristics of a
polynomial, rational, piecewise, and step function, using a graphing utility.
· MA.15 Rationalize the denominator of a rational function.