Problem

The arrow diagram describes a function. What is t…

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Problem 7 Medium Difficulty

The following table is an example of a function. Use an arrow diagram to illustrate this.
$$
\begin{array}{|c|c|c|c|c|c|c|c|c|}
\hline \text { Year } & {1992} & {1994} & {1996} & {1998} & {2000} & {2004} & {2006} & {2008} & {2010} \\
\hline \text { Minimum } & {4.25} & {4.25} & {4.75} & {5.15} & {5.15} & {5.15} & {5.15} & {5.15} & {7.25} \\
{\text { wage }(\mathrm{S})} & {} & {} & {} & {} & {} \\
\hline
\end{array}
$$

Answer

$\begin{array}{l}1992 \quad 4.25 \\1994 \\1996 \quad 4.75 \\1998 \\2000 \quad 5.15 \\2002 \\2004 \\2006 \\2008 \quad 6.55 \\2010 \quad 7.25\end{array}$

Related Courses

Algebra

Elementary and Intermediate Algebra

Chapter 3

Graphing Linear Equations and Inequalities in Two Variables; Functions

Section 8

An Introduction to Functions

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Video Transcript

and this problem, we were given the table that represents a function, and they want us to represent dysfunction using an arrow diagram. So what I did is I kind of already set this up. Remember, when you do it, I arrow diagram. You want your first double to Kate, contain your domain and the second oval to contain the range. Well, don't forget, your domain represents all of your ex values, which in this case is all over years. So, as you see, I listed all of the years the range represents the outputs or the Y values, which in this case, represents the minimal wage. Well, the other thing, you'll know this when you jar di a narrow diagram. If a number of value is listed more than once, you only have to list it once. Now what we're going to dio is we're gonna map each value in the domain to its value in the range. Well, 1992 what's map with 4.25 So we'll draw an arrow from 1992 to 4.25 Well, the same thing. In 1994 it was also 4.25 Well, next in 1996. That was mashed up with 4.75 So I'll Jara narrow for 1996 to 4.75 Now, if you know this in 1998 2000 4 4006 and 2008 the minimum wage in each of these was $5.15. So I'm gonna draw an arrow from each of these $25.15. And lastly, 2010 the minimum wage was 7 25 So I will draw an arrow from 2010 to 7 25 this right here is our arrow diagram.

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