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2.01 Functions and relations

Adaptive
Worksheet

Interactive practice questions

Consider the following mapping:

a

Complete the table:

$x$x $0$0 $1$1 $2$2 $3$3
$y$y $1$1 $\editable{}$ $\editable{}$ $\editable{}$
b

State the inputs.

Enter each value on the same line, separated by commas.

c

State the outputs.

Enter each value on the same line, separated by commas.

d

If the input is $0$0, state the corresponding output.

Medium
2min

Consider the relation given as a set of points:

$\left\{\left(5,\frac{11}{12}\right),\left(6,\frac{7}{6}\right),\left(8,\frac{5}{3}\right),\left(9,\frac{23}{12}\right),\left(2,\frac{1}{6}\right)\right\}${(5,1112),(6,76),(8,53),(9,2312),(2,16)}

Easy
< 1min

Consider the relation represented by the table below.

Medium
< 1min

Consider the relation given as a set of points:

$\left\{\left(-7,2\right),\left(-2,5\right),\left(-9,-8\right),\left(3,-9\right),\left(8,8\right)\right\}${(7,2),(2,5),(9,8),(3,9),(8,8)}

Medium
< 1min
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Outcomes

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.

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