Answer:
1). Increases
2). Slope = 4
3). Slope = -1
4). y = 4 when x = 5
Step-by-step explanation:
1). Initially, as x increases, y also increases. (Linear growth has been shown in the graph initially).
2). Afterward, the slope of the graph of the function is equal to 4 for all x between x = 3 and x = 5.
[Slope of the line passing through two points (3, 0) and (5, 4)
m = [tex]\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}[/tex]
= [tex]\frac{4-0}{5-3}[/tex]
= [tex]\frac{4}{1}[/tex]
= 4 ]
3). The slope of the graph is equal to -1 for x between x = 5 and x = 9.
[Slope of the line passing through two points (5, 4) and (9, 0),
Slope = [tex]\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}[/tex]
= [tex]\frac{4-0}{5-9}[/tex]
= -[tex]\frac{4}{4}[/tex]
= -1 ]
4). The greatest value of y is y = 4, and it occurs when x = 5. (From the given graph)
