Question

The illustration below shows the graph of y as a function of x.

Answer 1

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 = $\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}$

   = $\frac{4-0}{5-3}$

   = $\frac{4}{1}$

   = 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 = $\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}$

          = $\frac{4-0}{5-9}$

          = -$\frac{4}{4}$

          = -1 ]

4). The greatest value of y is y = 4, and it occurs when x = 5. (From the given graph)

Answer 2

Answer:

Initially, as x increases, y is CONSTANT

Afterward, the slope of the graph of the function equals 2 for all x between x = 3x, and x = 5x

The slope of the graph equals −1 for x between x = 5x,  and x = 9x

The greatest value of y is y = 4 and it occurs when x = 5

Step-by-step explanation:

I did it on khan academy, hope this helps :D