#### PC.1: Explore and illustrate the characteristics and operations connecting sequences and series.

PC.1.a: Express sequences and series using recursive and explicit formulas.

PC.1.b: Evaluate and apply formulas for arithmetic and geometric sequences and series.

#### PC.2: Analyze, manipulate, and solve equations and inequalities.

PC.2.a: Determine characteristics of graphs of parent functions (domain/range, increasing/decreasing intervals, intercepts, symmetry, end behavior, and asymptotic behavior).

PC.2.b: Determine horizontal, vertical, and slant asymptotes and holes of rational functions and explain how each was found.

PC.2.c: Determine the domain and range of functions, including piece-wise functions.

PC.2.f: Solve exponential and logarithmic equations to include real-world applications.

PC.2.h: Find the zeros of polynomial functions by synthetic division and the Factor Theorem.

PC.2.i: Graph and solve quadratic inequalities.

#### PC.3: Recognize, sketch, and transform graphs of functions.

PC.3.a: Describe the attributes of graphs and the general equations of parent functions (linear, quadratic, cubic, absolute value, rational, exponential, logarithmic, square root, cube root, and greatest integer).

PC.3.b: Explain the effects of changing the parameters in transformations of functions.

PC.3.c: Predict the shapes of graphs of exponential, logarithmic, rational, and piece-wise functions, and verify the prediction with and without technology.

Correlation last revised: 5/17/2018

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.