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4. Functions and Relations
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Algebra, Functions, and Data Analysis

4.04 Characteristics of functions

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the graph of $y=x-3$y=x−3.

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The Coordinate Plane has the x-axis ranging from $-10$−10 to $10$10 and the y-axis ranging from $-10$−10 to $10$10. Both axes are marked with intervals of $1$1. The graph of $y=x-3$y=x−3 is plotted as a straight black line that extends from the bottom-left to top-right of the Coordinate Plane.
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
1 min

Consider the graph of $y=6-x$y=6−x.

Easy
1 min

Consider the graphed line.

Easy
< 1 min

Consider the graphed line.

Easy
< 1 min
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Outcomes

AFDA.AF.2a

Determine the domain and range of a function given a graphical representation, including those limited by contexts.

AFDA.AF.2b

Identify intervals on a graph for which a function is increasing, decreasing, or constant.

AFDA.AF.2c

Given a graph, identify the location and value of the absolute maximum and absolute minimum of a function over the domain of a function.

AFDA.AF.2d

Given a graph, determine the zeros and intercepts of a function.

AFDA.AF.2e

Describe and recognize the connection between points on the graph and the value of a function.

AFDA.AF.2f

Describe the end behavior of a function given its graph.

AFDA.AF.2g

Identify horizontal and/or vertical asymptotes from the graph of a function, if they exist.

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