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The illustration below shows the graph of y as a function of 2.Complete the following sentences based on the graph of the function.• Initially, as 2 increases, y=（）•The slope of the graph is equal to（）for all a between x= 0 and x = 3.•Starting at x= 3, the function value y（）as x increases.•The slope of the graph is equal to（）for & betweenx = 3 andx = 5.•For a between x= 0 andx = 4, thefunction value y（）0• For a between xfunction value x= 4 and x=8，the function value y（）0

The illustration below shows the graph of y as a function of 2Complete the following sentences based on the graph of the function Initially as 2 increases yThe class=

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As we see in the graph, initially, when x increases, y decreases. The graph goes downward.

The slope of the line segment from (0, 0) to (3, -3) is -1. Here's how it's calculated:

[tex]\begin{gathered} m=\frac{rise}{run} \\ \\ m=\frac{-3-0}{3-0} \\ \\ m=-1 \end{gathered}[/tex]

Next, from x =3 to x = 5, we see that the graph is going upward. So, y is increasing.

Again, to calculate the slope, we use m = rise/run.

[tex]\begin{gathered} m=\frac{3-(-3)}{5-3} \\ \\ m=\frac{6}{2} \\ \\ m=2 \end{gathered}[/tex]

So the slope of the line segment from (3, -3) to (5, 3) is 2.

For x between x = 0 andx = 4, the function value y goes downward (decreasing) then back to 0.

For x between x = 4 and x=8, the function value y goes upward (increasing) then back to 0.

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