By definition of linear functions and the comparison with the attached figure, the function that represents the graph is y = (7/15) · x + 4, - 6 ≤ x ≤ 9.
What kind of function represents the graph?
Graphically speaking, linear functions represent lines and we see that the line seen in the figure presents two bounds, the points (- 6, 0) and (9, 7). Linear functions are characterized by slope and intercept:
y = m · x + b (1)
Slope
m = (7 - 0)/[9 - (- 6)]
m = 7/15
Intercept
b = 4
By definition of linear functions and the comparison with the attached figure, the function that represents the graph is y = (7/15) · x + 4, - 6 ≤ x ≤ 9.
To learn more on linear functions: https://brainly.com/question/14695009
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