See below for the interpretation of the graph
How to interpret the graph?
From the graph, the initial values of x and y are 0
As x increases, y decreases.
This means that the first statement is
- Initially, as x increases, y decreases.
Slope is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
Using the graph values at the interval x =0 to x = 3, we have:
[tex]m = \frac{-3 - 0}{3 - 0}[/tex]
m = -1
This means that the second statement is
- The slope of the graph is equal to -1 for all x between x = 0 and x = 3
From the graph, y = -3, when x = 3
As x increases at this point, y increases.
This means that the third statement is
- Starting at x = 3, the function value y increases as x increases
Using the graph values at the interval x = 3 to x = 5, we have:
[tex]m = \frac{3 + 3}{5 - 3}[/tex]
m = 3
This means that the fourth statement is
- The slope of the graph is equal to 3 for x between x = 3 and x = 5
All y values at x = 0 to x = 4 are less than 0, while all y values at x = 4 to x = 8 are greater than 0
So, the last two statements are
- For x between x = 0 and x = 4, the function value y is less than 0
- For x between x = 4 and x = 8, the function value y is greater than 0
Read more about functions at:
https://brainly.com/question/27831985
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