#### Math - 2018-19

# MA.1 - Polynomial and Rational Functions

MA.1The student willinvestigateandidentifythe properties of polynomial, rational, piecewise, and step functions andsketchthe graphs of the functions.

*Adopted: 2016*

### BIG IDEAS

### 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.### ESSENTIALS

**The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to**

·
MA.1_{1} **Identify**
a polynomial, rational, piecewise, and step function, given an equation or
graph.

·
MA.1_{2} Given a graph or equation of a polynomial,
rational, piecewise, or step function, **identify**:

domain and range;

zeros;

intercepts;

symmetry;

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.

·
MA.1_{3} **Sketch**
the graph of a polynomial, rational, piecewise, or step function.

·
MA.1_{4} **Investigate**
and **verify** characteristics of a
polynomial, rational, piecewise, and step function, using a graphing utility.

·
MA.1_{5} **Rationalize**
the denominator of a rational function.

### KEY VOCABULARY

*Updated: May 29, 2018*