# FNGR 2 | Lesson 1 | Standards

### Core Content Standards

Use functions to model relationships between quantities.

5. Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

### Related Standards

Define, evaluate, and compare functions.

1. Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

Functions – Interpreting Functions (F-IF)

Understand the concept of a function and use function notation

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 $$y = f(x)$$.

Interpret functions that arise in applications in terms of the context

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 description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

### Standards for Mathematical Practice

• Make sense of problems and persevere in solving them.
• Attend to precision.
• Construct viable arguments and critique the reasoning of others. 