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Algebra, Functions, and Data Analysis

4.01 Review: Functions and relations

Adaptive
Worksheet

Interactive practice questions

Consider the following mapping:

A mapping diagram consists of two boxes with rounded corners. The left box contains the numbers $0$0, $1$1, $2$2, and $3$3, listed from top to bottom. The right box contains the numbers $1$1 and $2$2, also listed from top to bottom. Several blue arrows connect numbers from the left box to numbers in the right box. One arrow moves from $0$0 in the left box to $1$1 in the right box. Another arrow moves from $1$1 in the left box to $2$2 in the right box. A third arrow moves from $2$2 in the left box to $1$1 in the right box. Lastly, an arrow moves from $3$3 in the left box to $2$2 in the right box.
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
2 min

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
< 1 min

Consider the relation represented by the table below.

Medium
< 1 min

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
< 1 min
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