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3.01 Functions and relations

Interactive practice questions

Express the relation $\left\{\left(2,2\right),\left(4,4\right),\left(6,3\right),\left(7,5\right)\right\}${(2,2),(4,4),(6,3),(7,5)} in the table below.

$x$x $y$y
$2$2 $\editable{}$
$4$4 $\editable{}$
$6$6 $\editable{}$
$7$7 $\editable{}$
Easy
< 1min

True or False?

When working with a function, substituting a certain value of $x$x into the formula gives only one value of $y$y for that value of $x$x.

Easy
< 1min

What is the name used to describe a graph where for some value of $x$x, there exists two or more different values of $y$y?

Easy
< 1min

True or false?

A relation always passes the vertical line test.

Easy
< 1min
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Outcomes

I.F.IF.1

Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).

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