Answer:
G. The slope of the function in the table is the opposite of the slope of the function in the graph.
Step-by-step explanation:
Let's calculate the the slope of the function represented by values on a table and also the function represented on a graph.
Slope of the function represented by the table:
Use any two pairs. Let's use (1, 1) and (2, 4).
[tex] slope(m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 1}{2 - 1} = \frac{3}{1} = 3 [/tex]
The slope of the linear function represented by the table of values is 3.
Slope of the function represented by the graph:
Use any the coordinates of any two points on the line graph. Let's use (0, 4) and (1, 1).
[tex] slope(m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 4}{1 - 0} = \frac{-3}{1} = -3 [/tex]
Therefore, the statement that is correct is:
"G. The slope of the function in the table is the opposite of the slope of the function in the graph."
3 is the opposite of -3.
