Question

describe the behavior of the graph below.

a. the graph is increasing when x > 8.

b. the graph is decreasing when x < 8.

c. the graph is increasing for all values of x.

Explanation:

The graph is a straight line with a positive slope. A line with a positive slope rises from left to right, meaning as x increases, y increases for every value of x. Thus, it is increasing for all x. Options A and B incorrectly limit the increasing/decreasing behavior to specific x ranges, which does not apply to a linear graph with constant positive slope.

Answer:

C. The graph is increasing for all values of x.