Functions unit test use the image to answer the question minus 3, 4 0, 3 3 2 6, 1 determine the initial value and rate of change of the linear function as given in the graph around the answer to three decimal places as needed the initial value is blank and the rate of change is blank

1 answer

To determine the initial value of the linear function, we need to find the y-intercept of the line. From the graph, we can see that the line intersects the y-axis at the point (0,3). This means that the initial value of the function is 3.

To find the rate of change of the linear function, we can use the formula:

rate of change = (change in y) / (change in x) = (y2 - y1) / (x2 - x1)

Let's choose two points on the line: (0,3) and (3,6)

rate of change = (6 - 3) / (3 - 0) = 3 / 3 = 1

Therefore, the rate of change of the linear function is 1.

In conclusion, the initial value of the linear function is 3 and the rate of change is 1.
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