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Complete the labeling of the table of solutions and the axes of the graph of $c=-a+4$
a, c,(a, c)
Algebra
Chapter 3
Graphing Linear Equations and Inequalities in Two Variables; Functions
Section 2
Graphing Linear Equations
Graphs and Statistics
Equations and Inequalities
Linear Functions
Systems of Equations and Inequalities
Harvey Mudd College
Idaho State University
Lectures
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all right, so we need to find a table of value that corresponds with this function and in graphic. So the table of values was given to us. It's says, and it says, Excuse me, that we have our eggs and we have our wise and all of the exes that we need to use it. Zero negative three negative one and then positive, too. Our job is to figure out what is the Y value that corresponds to each of these X values. Now, typically, what we would do is we would plug in these X values into our function. But as you can see here, dysfunction is have any X values. So our only other option is to suffer. What? Why is going to be equal to So take your function, Why post For said it equal to zero and in salt for why subtract four on both sides? So that means why is always negative for so every single why value that you use will forever be negative for So we're gonna play in negative four for each one of these. Now is time to graph. So let's get our greed. I start withdrawing the axis so we need our pin. Let's redo that much better. And then we can just grab from here. So the first coordinate is going to be at zero negative four. So that means we're going to go to the left. We're not going to go to the left or right, But we are going to go down negative for then. We have negative three negative force. That means we're going to go to the left three and then down. Negative four. Then we have negative one negative four. So that means we go to the left one and then down. Negative four. And last but not least, we have too negative force that it means goes to the right to and then down. Negative four. So you get this line here.
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