Answer:
- The equation that represents this function is f(x)=x−7.
- The range of this function is increasing as the domain increases.
Step-by-step explanation:
The line in the graph has a rise of 1 for each run of 1, so its slope is 1/1 = 1. The slope (x-coefficient) of the function f(x) = -7x+1 is -7, so that is not the function shown in the graph.
The wording "the range ... is increasing as the domain increases" is a bit unusual. Usually "domain" and "range" refer to intervals or sets of values over which the function is defined. While it is true that extending the interval of definition (domain) of the function will extend the range of values it produces, we suspect this is supposed to suggest that the slope of the line is positive. (As you pick increasing elements from the domain, the function will map those values to increasing elements of the range.)