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2. Functions & Relations
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United States of AmericaVirginia
Algebra 1

2.04 Characteristics of functions

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the graph of $y=x-3$y=x−3.

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a

State the coordinates of the $x$x-intercept in the form $\left(x,y\right)$(x,y).

b

State the coordinates of the $y$y-intercept in the form $\left(x,y\right)$(x,y).

Easy
1min

Consider the graph of $y=6-x$y=6−x.

Easy
1min

Consider the graphed line.

Easy
< 1min

Consider the graphed line.

Easy
< 1min
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Outcomes

A.F.1

The student will investigate, analyze, and compare linear functions algebraically and graphically, and model linear relationships.

A.F.1a

Determine and identify the domain, range, zeros, slope, and intercepts of a linear function, presented algebraically or graphically, including the interpretation of these characteristics in contextual situations.

A.F.2

The student will investigate, analyze, and compare characteristics of functions, including quadratic and exponential functions, and model quadratic and exponential relationships.

A.F.2a

Determine whether a relation, represented by a set of ordered pairs, a table, a mapping, or a graph is a function; for relations that are functions, determine the domain and range.

A.F.2b

Given an equation or graph, determine key characteristics of a quadratic function including x-intercepts (zeros), y-intercept, vertex (maximum or minimum), and domain and range (including when restricted by context); interpret key characteristics as related to contextual situations, where applicable.

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