Vending VicFunction Machines · functions, their graphs, and sequences

Press one button, get one snack: is it a function? Domain and range.

Relations and Functions

Is it a function? Domain and range. In MathBound, the free Algebra I adventure game, Vending Vic asks these problems, and the only way past is to solve them.

Part of Functions: chapter 4 of the standard course.

Play this battle free

10 questions, no sign-up, nothing saved. Climbs from the basics to harder questions.

What you will practice

Is It a Function?. Decide whether a relation is a function: three pairs, a table, a graph or a mapping diagram, or the input that breaks it.
Domain and Range. Give the domain of a set of pairs, a table or a graph, or name the independent and dependent variable in a story.

Worked examples

Made by the game’s own question engine. Try each one, then open its steps.

Example 1 · Is It a Function?

The

relation

{(- 3, 2), (0, 9), (0, 3)}

is

not

a

function.

Which

input

has

more

than

one

output?

$9$
$- 3$
$0$
$3$

Show the worked steps

$An$ $input$ $is$ $an$ $x -value,$ $so$ $look$ $for$ $an$ $x -value$ $that$ $appears$ $twice.$
$0$ $is$ $paired$ $with$ $both$ $3$ $and$ $9 .$

Answer: $0$

Example 2 · Domain and Range

Which

relation

has

domain {- 3, 2, 5} ?

${(- 2, 7), (5, - 3), (2, - 3)}$
${(7, - 3), (- 3, 5), (- 3, 2)}$
${(- 3, 7), (5, - 3), (2, - 3)}$
${(- 3, 7), (5, - 3)}$

Show the worked steps

$The$ $domain$ $lists$ $every$ $x -value$ $once.$
${(- 3, 7), (5, - 3), (2, - 3)}$ $has$ $domain {- 3, 2, 5} .$

Answer: ${(- 3, 7), (5, - 3), (2, - 3)}$

Example 3 · Is It a Function?

For

which

value

of

k

is

{(k, 4), (2, - 6), (3, 2)}

NOT

a

function?

$- 2$
$- 6$
$2$
$4$

Show the worked steps

$It$ $fails$ $to$ $be$ $a$ $function$ $when$ $an$ $input$ $is$ $paired$ $with$ $two$ $different$ $outputs.$
$If$ $k = 2,$ $the$ $input$ $2$ $goes$ $to$ $both$ $- 6$ $and$ $4 .$

Answer: $2$

Where it is in your textbook

Textbook	Lessons
Standard course	4.2
Big Ideas Math Algebra 1	3.1
Big Ideas Math Algebra 1 (2022)	3.1
Carnegie Learning Algebra I	M1 1.3, M1 1.4
CPM Core Connections Algebra	1.2.4, 1.2.5, 11.3.2, 11.3.3
CPS Skyline Algebra	2.1-2.2, 3.7, 8.5-8.6
enVision Algebra 1	3-1
enVision Algebra 1 (2024)	3-1
Eureka Math Algebra I (EngageNY)	3.9-3.10
Glencoe Algebra 1	1-6, 1-7
HMH Into Algebra 1	4.1, 4.3
Holt McDougal Larson Algebra 1	1.7, 1.8, 1.8 Ext
Illustrative Mathematics Algebra 1	4.1-4.3, 4.10-4.11
Illustrative Mathematics Algebra 1 (v.360)	5.1-5.3, 5.10-5.11
Math Nation Algebra 1 (Florida B.E.S.T.)	1.1, 1.2, 1.3, 4.2, 4.4, 8.2, 10.2
MVP Mathematics I (Integrated Math 1)	2.3, 3.2, 3.3
Open Up NC Math 1 (MVP)	2.3, 3.2, 3.3
Pearson Algebra 1 Common Core	4-6
Reveal Algebra 1	3-1, 3-2
SpringBoard Algebra 1	5, 6, 14

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