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# High School Functions Common Core Resources

Here you will find all high school algebra functions resources to guide and support mathematics teaching and learning.

These resources are organized by mathematical strand and refer to specific Common Core math content standards.

Quick reference: What are these tools?

## Functions: Interpreting Functions (F-IF)

• F-IF.1

Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).

Problems of the Month
• F-IF.2

Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

Performance Assessment Tasks
• F-IF.3

Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.

Problems of the Month
• F-IF.4

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal descriptions of the relationship.

Problems of the Month
Performance Assessent Tasks
• F-IF.5

Relate the domain of a function to its graph and where, applicable, to the quantitative relationship it describes.

Performance Assessment Tasks
• F-IF.7

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. Graph linear and quadratic functions and show intercepts, maxima, and minima

Performance Assessment Tasks
• F-IF.8

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

Problems of the Month
Performance Assessment Tasks
• F-IF.9

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

Problems of the Month
Performance Assessmnet Tasks

## Functions: Building Functions (F-BF)

• F-BF.1

Write a function that describes a relationship between two quantities.

Problems of the Month
Performance Assessment Tasks
• F-BF.2

Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.

Problems of the Month
• F-BF.4

Find inverse functions.

Problems of the Month
Performance Assessment Tasks

## Functions: Linear, Quadratic and Exponential Models (F-LE)

• F-LE.1

Distinguish between situations that can be modeled with linear functions and with exponential functions.

Problems of the Month
• F-LE.2

Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (including reading these from a table.)

Problems of the Month
Performance Assessment Tasks
• F-LE.3

Observe using graphs and tables that a quantity inkling exponentially eventually exceeds a quantity increasing linearly, quadratically or more generally as a polynomial function.

Performance Assessment Tasks
• F-LE.5

Interpret the parameters in a linear or exponential function in terms of a context.

Problems of the Month