Functions
F1  Functions and Systems of Linear Functions
A majority of the functions questions found on the TASC are linear, and of those, many look at functions in the context of a real world problem. As such, this unit takes an indepth look at the components of linear functions which include inputs (x), outputs (y), rate of change (m), and starting amount, or yintercept (b). Students will be asked to interpret linear functions in the context of realworld problems, and recognize that a function can be represented as a set of orderedpairs (often displayed as a table of values), an equation, or a graph. In addition, students will also be required to recognize whether or not a relation is a function by examining elements from the domain and range of the function. This unit is distinct from the linear equations unit in that students will not be explicitly assessed on their ability to solve linear equations in this unit.
Core skills of this unit:

Use ordered pairs to identify relations that are functions

Evaluate functions using function notation

Relate the 3views of a linear function

Interpret linear functions and systems of linear functions in terms of a context
F2  Quadratic and Exponential Functions
Following linear (1st degree) functions in complexity, we move to quadratic functions (2nd degree). This is a function where x is raised to the second power. For example, f(x) = x2 + 3x + 2. In this unit, students will explore and interpret quadratic functions in the context of a problem both literally and graphically. Solving quadratic functions algebraically is covered in the Algebra Unit  Solving Quadratic Equations and Simple Radical Equations. Then, building on the introduction of quadratic functions that result in a nonlinear, or curved graph, this unit also focuses on exponential functions that also result in curved graphs. Depending on the growth rate, and context, exponential functions will result in either an exponential growth function or an exponential decay function. Students will need to be able to interpret the growth or decay of a function in terms of its growth rate, which will often be expressed as a percent as in compound interest problems, or radioactive decay.
Core skills of this unit:

Evaluate and interpret quadratic functions

Construct quadratic functions

Graph quadratic functions

Interpret exponential functions

Compare exponential functions

Construct exponential functions
F3  Cubic, Piecewise, Square Root, and Cube Root Functions
In addition to linear, quadratic, and exponential functions, students will be required to identify and interpret solutions to cubic, piecewise, square root, absolute value, and cube root functions using ordered pairs, or a graph. To do so, students will have to be familiar with zeros, intercepts, and key features of a graph including maxima and minima.
Core skills of this unit:

Identify zeros, roots, and intercepts of functions from a graph

Compare different representations of a function

Identify maxima and minima of functions from a graph

Identify x and y intercepts of a function from an equation