use the graph to answer the question: (0, 0), (0.5, 1), (-1.5, -3)

Determine the initial value and the rate of change of the linear function as given in the graph.

the initial value is 0, and the rate of change is 1/2
the initial value is -2, and the rate of change is 2
the initial value is -6, and the rate of change is 2
the initial value is 0, and the rate of change is 2

1 answer

Based on the given points (0, 0), (0.5, 1), and (-1.5, -3), we can determine the initial value and the rate of change of the linear function.

Initial value:
When x = 0, y = 0, so the initial value is 0.

Rate of change (slope):
Using the points (0, 0) and (0.5, 1):
slope = (1 - 0) / (0.5 - 0) = 1 / 0.5 = 2

Therefore, the initial value is 0 and the rate of change of the linear function is 2. So, the correct option is:
the initial value is 0, and the rate of change is 2.
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